**Given - **

**To Find - **

Type of Triangle =?

**Step-by-Step Explanation - **

As we can see we have an obtuse angle in the triangle and also, the two sides are equal.

So,

It is an Obtuse angle triangle.

It is also an isosceles triangle

**Final Answer - **

**B. Obtuse**

**E. Isoseceles**

Determine the number of solutions for the following system of linear equations. If there is only onesolution, find the solution.3x – 3y - 3z = 37x – 2y - z = -4- 6x – 4y - 6z = -1-AnswerKeypadKeyboard ShortcutsSelecting an option will enable input for any required text boxes. If the selected option does not have anyassociated text boxes, then no further input is required.O No SolutionO Only One SolutionX =y =z =O Infinitely Many Solutions

To find out if the system has a single solution, we have to check wheter its equations are not equivalent to one another and no equation contraticds the others.

If these are some cases, we will find out while we answer, because you will either find an equation that the variable can have any number or we will get to an equation that is wrong for any value of the variable.

To find the solution, we will have to reduce the system to two variable and then to one variable.

To do this, we can pick a variable to get rid of and pair equations so we can achieve this.

Let's get rid of variable *y *by elimination.

Firstly, we can see that the first equations can by simplifies by dividing it by 3:

[tex]\begin{gathered} (3x-3y-3z=3)\div3 \\ x-y-z=1 \end{gathered}[/tex]Now, since we want to eliminate *y*, we need to match its coefficient with another equation, but with opposite sign.

The second equation has a coefficient of -2 on y, so if we multiply the first simplified equation by -2, we will get:

[tex]\begin{gathered} (x-y-z=1)\times(-2)_{} \\ -2x+2y+2z=-2 \end{gathered}[/tex]Now, we can add this equation with the second:

[tex]\begin{gathered} -2x+2y+2z=-2 \\ 7x-2y-z=-4 \\ --------------- \\ 5x+0y+z=-6 \\ 5x+z=-6 \end{gathered}[/tex]Now, we will do similarly but with the last equation. The coefficient of y on it is -4, so we multiply the first simplified equation by (-4):

[tex]\begin{gathered} (x-y-z=1)\times(-4) \\ -4x+4y+4z=-4 \end{gathered}[/tex]And add the third equation to it:

[tex]\begin{gathered} -4x+4y+4z=-4 \\ -6x-4y-6z=-1 \\ -------------- \\ -10x+0y-2z=-5 \\ -10x-2z=-5 \end{gathered}[/tex]Notice that we can change the sign of all terms on this equation:

[tex]10x+2z=5[/tex]Now, we have two equations and two variable:

[tex]\begin{gathered} 5x+z=-6 \\ 10x+2z=5 \end{gathered}[/tex]However, notice that the left side of the equations are equivalent, because if we multiply the first equation by two, we will get the pair:

[tex]\begin{gathered} 10x+2z=-12 \\ 10x+2z=5 \end{gathered}[/tex]So, the left side is equivalent, but the right sides are different, this means that one equation contradicts the other, That is, there is no possible pair of x and z so that these equations are both true.

This means that **there is no solution to this system of equations**.

Please help me. I don’t understand this. Due today.

The **rate **of **change** of the graph of what the health club charges is; 43

The rate of change is simply the **slope** of the graph which is the change in y-values per change in corresponding x-values. Thus;

**Rate of change** here is;

**Slope** = (y₂ - y₁)/(x₂ - x₁)

We have two **coordinates** as; (3, 169) and (8, 384) which represents the graph of what the health club charges.

Thus;

Rate of change = (384 - 169)/(8 - 3)

Rate of change = 43

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Hiroko cuts a string that is 4 feet long into pieces that are each 4/6 foot long. Complete the model to show 4÷4/6. Hiroko cuts her string into______equal-size pieces.

According to the solution of the **fractions**. Hiroko cuts her string into 6 **equal-size** pieces.

A **fraction,** which derives from the Latin word fractus, which means "broken," is a **portion **of a whole or, more broadly, any number of equal pieces.The numerator and denominator of positive common fractions are both natural integers. The denominator shows how many of the numerator's equal parts make up a unit or whole, while the numerator reflects the number of equal parts.

When a fraction is divided, it **reciprocated** i.e, denominator and numerator change their places. So, in given fraction-

4÷4/6=4×6/4

=6

Therefore, Hiroko cuts her string into 6 equal pieces.

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WILL MARK BRAINLIEST Simplify √10. √8.

O√18

O 4√5

O√80

O 8√10

[tex]=\sqrt{10*8} \\=\sqrt{80} \\=\sqrt{16*5} \\=\sqrt{16} *\sqrt{5} \\=4\sqrt{5}[/tex]

⇒The **SECOND **option is The **BEST** answer .

**Δ...BUT also the THIRD OPTION CAN be the answer but it is not simplified completely. IT IS SAFE TO CHOOSE THE SECOND OPTION because it is completely simplified.**

Find the area of the shaded region. Round to the nearest tenth.

**Answer:**

20

**Step-by-step explanation:**

I took the test and passed I hope this helps.

Meredith has 8 pends and 9 pencils. Brody has 4 pens and 9 pencils , which is the correct comparison of their ratios of pens to pencils

The ratio of **pens** Meredith has to ratio of pens Brody has is 2 : 1

The of **pencils** Meredith has to ratio of pencils Brody has is 1 : 2

Ratio refers to the number representing a **comparison** between two named quantities.

Comparison of their **ratios** of pens to pencils:

Ratio of pens Meredith has to ratio of pens Brody has = 8 pens : 4 pens

= 8 / 4

= 2 / 1

= 2 : 1

Ratio of pencils Meredith has to ratio of pencils Brody has = 9 pencils : 9 pencils

= 1 / 1

= 1 : 1

So therefore, their ratio of pens is 2 : 1 and their ratio of pencils is 1 : 1

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Find the equation of the line shown.

y

10

9

8

5

4

3

2

1

O

1 2 3 4 5 6 7 8 9 10

X

**Step-by-step explanation:**

I assume you need the equation in slope-intercept form :

y = ax + b

"a" is the slope, "b" is the y-intercept (the y-value when x = 0).

the slope is defined as ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

let's use the 2 points, where the line intersects the x- and the y- coordinate axis : (0, 9) and (9, 0)

that gives us "b" already : the y-value when x = 0 is 9.

about the slope "a" :

x changes by +9 (from 0 to 9).

y changes by -9 (from 9 to 0).

the slope is then -9/+9 = -1/1 = -1

and the equation is

y = -x + 9

Calculate the perimeter of a square

of area 36cm² Show all your working.

help please!!!

The **perimeter** of a **square** having area of 36[tex]cm^{2}[/tex] is equal to **24cm **

Square of area A= 36[tex]cm^{2}[/tex]

We know that a square is a **quadrilateral**( a closed figure with four sides) with all 4 sides equal in length. Let the measure of one side of a square be x. from the formula to find out the **area** of a square we know that

Area of a **square** A = [tex]x^{2}[/tex]

∴From the data given in the problem

[tex]x^{2}[/tex] = 36

⇒x = √36

⇒x = 6

∴The measure of one **side** of a square = x cm = 6 cm

We know that the **perimeter** of a square = x+x+x+x = 4x

∴The perimeter of the given square = 4x = 4 × 6 = 24cm

Hence we get by solving as done above that for a square of area 36cm^2

the** perimeter** of the **square** is **24cm**

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water is poured into a right cylindrical tank at a rate of 6 cubic inches per minute. if the radius of the base is 20 incheas long; how fast is the hieght changing when the water level is 12 inches high?

According to the formula of **cylindrical volume**, we can find out that the rate at which the height of the water level is changing is [tex]\frac{3}{200\pi } inch/min[/tex].

Water is increasing at a rate of ( 3/200π ) inch/min in a cylindrical tank.

It is given to us that, for a right cylindrical tank,

**Radius** of the base, r = 20 inch ----- (1)

The **rate of water** poured into the cylindrical tank,

[tex]\frac{dV}{dt}[/tex] = 6 cubic inch per min ------- (2)

We have to find out the **rate of change of height** when the water level is 12 inches high.

This implies, we need to calculate [tex]\frac{dh}{dt}[/tex].

To find out [tex]\frac{dh}{dt}[/tex] , we have to use the equation for the volume of a right cylinder.

Let us say, the **volume of cylinder** is represented as V

We know, the formula of volume of a cylinder is

[tex]V = \pi r^{2} h[/tex] ------(3)

Substituting the value of r from equation 1 in equation 3, we will get

[tex]V = \pi r^{2} h\\= > V = \pi 20^{2} h\\= > V = \pi 400 h[/tex] ----- (4)

Differentiate equation (4) with respect to time,

[tex]\frac{d}{dt} V = \frac{d}{dt}[ \pi 400 h]\\= > \frac{dV}{dt}= \pi 400\frac{dh}{dt}[/tex] ----- (5)

Substituting the value of [tex]\frac{dV}{dt}[/tex] from equation (2) in equation (5), we have

[tex]6 = \pi 400\frac{dh}{dt}\\= > \frac{dh}{dt} = \frac{6}{400\pi }\\= > \frac{dh}{dt} = \frac{3}{200\pi } inch/min[/tex]

Thus, [tex]\frac{3}{200\pi } inch/min[/tex] is the rate at which the height of the water level is changing.

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What is 38.6 divided by 0.5?

**Answer:**

77.2

**Step-by-step explanation:**

b Rearrange the formula D=wp + 4 to make p the subject.

Use your formula to work out the value of p when D = 100 and w=12.

**Answer:**

8

**Step-by-step explanation:**

D=wp+4

D-4=wp

D-4/w=p

p=100-4/12

p=96/12

p=8

**Answer:**

Dp/(wp+4)=p

**Step-by-step explanation:**

Number 1 D=wp+4

p×D=wp×p+4×p

=Dp=wp²+4p

=Dp=p(wp+4)

=from here you will divide both sides (wp+4) to get your answer

Number 2. 100p/(12p+4)=p

so from here 4 will divide 100 25 times leaving the answer 25p/12p=p

Dracula made a deposit of $220 into his checking account. He also made two withdrawals of $80 each. Write the total change to his account balance as an integer.

Total **change **to **Dracula **account balance will be the **account balance** is $40.

**What is mean by subtraction?**

The operation of taking the difference of two number is called Subtraction.

Given that;

Dracula made a deposit of $220 into his checking account.

Dracula made two withdrawals of $80 each.

Now, Total change to his account after transaction will be calculated as;

Total amount in Dracula account = $220

And, Total withdrawals amount = 2 x $80

= $160

Thus, Money in account after transaction = $220 - $160

= $40

Therefore, Total **change **to **Dracula **account balance will be the **account balance** is $40.

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A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 1/4 cups of mix to make one pancake. The pancakes are all equal in size.

About how many pancakes can the restaurant make in two hours?

The restaurant can make **992 pancakes** in 2 hours

Given

The restaurant uses** 124 cups **every hour

Each cup can be used to make** 4 pan cakes.**

Since 1/4 cups of mix can make **one pancake.**

All the pancakes are in **equal size**

Since 4 pancakes can be made from one cup of mix

The restaurant uses 124 cups of mix which means

**For an hour **the restaurant produces 4 x 124 pancakes Which is equal to **496 pancakes**

**In two hours** The restaurant can make double that of one hour

Hence 496 x 2

992

The restaurant can make **992 pancakes **in two hours

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Please help me answer this, I didn’t mean to click A i don’t know if it’s right or not

**Answer:**

A is actually correct :)

**Step-by-step explanation:**

**1/5^6**

:]

If A=B and B=C, which property let's us say A=C?

Explanation:

Think of a set of dominoes. If domino A pushes over B, which pushes over C, then ultimately A caused C to fall over. So that's how we combine both A=B and B=C to end up with A = C.

You could also think of it using this kind of arrow notation

[tex]\text{If }A \to B \text{ and } B \to C, \ \text{then }A \to C[/tex]

Or you can think of it like going from city A to city B, then to city C. Ultimately you have gone from city A to city C.

The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.

The price f(x), in dollars, of fuel A after x months is represented by the function below:

f(x) = 2.15(0.98)x

Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (5 points)

Part B: The table below shows the price g(m), in dollars, of fuel B after m months:

m (number of months) 1 2 3 4

g(m) (price in dollars) 4.19 3.98 3.78 3.59

A rise or a decline may be represented by an** exponential function** in either **direction**.

This is further explained below.

What isA)

The **exponential functio**n is represented as follows for fuel A:

f(x)=2.96(1.04)^x

A **representation **of an exponential function looks like this:

y=a b^x

Where b is the rate being calculated.

b=1.04

Since b (which is equivalent to 1.04) is bigger than 1, it follows that the price of gasoline A is going up.

B)

A representation of an **exponential function **may be seen in the table.

To get the cost of gasoline type B, just divide the current price by the price that was in effect just a moment ago.

Therefore, we have:

[tex]\begin{aligned}&b=\frac{3.41}{3.22} \\&b=1.06\end{aligned}[/tex]

1.06 is a higher number than 1.04, by way of comparison (the rate of fuel A).

Consequently, gasoline B had a bigger percentage shift in price than fuel A did.

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The solution set of the quadratic equation x2 + 2x – 15 >O is

To find the set of a quadratic inequation, we first need to find the roots of the quatradic equation. The roots can be found by using the same inequality but changing the inequality sign the euqal sign:

[tex]\begin{gathered} x^2+2x-15>0 \\ x^2+2x-15=0 \end{gathered}[/tex]Let's use the Bharkara Equation to find the roots:

[tex]\begin{gathered} x=\frac{-2\pm\sqrt[]{2^2-4\cdot1\cdot(-15)}}{2\cdot1} \\ x=\frac{-2\pm\sqrt[]{4+60}}{2} \\ x=\frac{-2\pm\sqrt[]{64}}{2} \\ x=\frac{-2\pm8}{2} \\ x=-1\pm4 \\ x_1=-1+4=3 \\ x_2=-1-4=-5 \end{gathered}[/tex]So we get the roots x = 3 and x = -5. This are the point at which the graph changes its sign.

The quadratic term (the one multiplying x²) is 1, which is positive. Because of that, the parabola of the quadratic expression has a minimum vertex:

For the drawing, it can be seen that when x is between -5 and 3, the equation has a negative sign, while when x is lower than -5 or greater than 3 the expression has positive sign. We want the expression:

[tex]x^2+2x-15>0[/tex]So, when it is greater than 0, meaning positive. Then, the set that solves the quadratic inequation is:

[tex]\begin{gathered} x<-5 \\ or \\ x>3 \end{gathered}[/tex]What was the percentage decline in profits(to the nearest tenth)?

The **percentage** decline in profits (to the nearest tenth) is 7.4%.

The smallest percentage fall in **profits** as a percentage of sales occurred in the food business between 1966 and 1970.

A **percentage** is any quantity or ratio that may be expressed as a portion of 100. If we want to calculate a percentage of a number, we should first divide it by 100 before multiplying it by the remainder. The **proportion**, therefore, denotes a component per 100. The word percent denotes a percentage of 100.

Percentage = (Difference / Total) * 100

According to the question,

Decline percentage = ((2.7-2.5)/2.7)*100

= 7.4%

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Tia drives 127 miles a week. Mac drives 23 times as many miles as Tia a week. How many miles does Mac drive a week?

**Mac** drives 2921 **miles** per week as compared to **Tia**

Comparing numbers is a technique for determining if one number is equal to, smaller than, or larger than the other numbers. To compare two numbers, we write them using several symbols. In our daily lives, we make comparisons of figures, such as the daily temperature, the cost of things used on a regular basis, our **height** and weight, etc. The number with more digits is greater than the number with fewer digits when they are natural numbers.

**Miles** drove by Tia = 127 miles a week

Miles driven by Mac = Miles driven by Tia*23

= 127*23

2921

So, **Mac** drove 2921 miles

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Which graph represents the solution to this inequality?

**Answer:**

The correct graph would be D.

**Step-by-step explanation:**

Since the sign is greater than, we know that it will be a open circle. So, our answer is c. or d.

To solve this problem, distribute, and you get:

3x+9>x+33

Subtract 3x on both sides.

9>-2x+33

Subtract 33 on both sides

9-33=

-24

-24>-2x

Divide by -2 on both sides.

Since we divided by a negative, switch the signs.

12<x

Now, find a graph that is equal to 12<x.

The correct graph would be D.

Hope this helps! ~~

can you send some math sums under 13

Some of the** math sums **in which the result is under 13 are (5+2), (6+3), (7+5), etc.

According to the question,

We have the following information:

Math sums under 13

Now, we have to find **mathematical expressions** involving addition but the condition is that the result should be under 13.

Now, we know that we can have 2 or more than 2 numbers in sums but to make it easy we will have only two numbers.

Now, we will take some first **numbers** in some math sums to be 5, 6 and 7.

Now, the second digit can be found easily by **subtracting **the numbers from 13.

So, the digits should be less than the** result** we get.

13-5 = 8

So, it can be less than 8.

13-6 = 7

So, it can be less than 7.

In this way, we can take any digit less than these numbers.

Hence, some of the **math sums **in which the result is under 13 are (5+2), (6+3), (7+5), etc.

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Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800 grams while babies born after a gestation period

of 40 weeks have a mean weight of 2900 grams and a standard deviation of 445 grams. If a 33-week gestation period baby weighs 2250 grams and a 40-week gestation period baby

weighs 2450 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?

Find the corresponding z-scores Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice.

The **Z-score** for the 40-week gestation period baby weights 2450 grams is **-0.86 is smaller.**

The provided deals with Z-scores. A **Z-score** shows how many **standard deviations **away from the** mean **an element is. A numerical evaluation of a value's relationship to the mean within a group of values is called a Z-score. Z-scores can also be favorable or unfavorable.

The score is above the mean, as indicated by the** positive value.**

The score is below average as indicated by the** negative value.**

Given the information,

The **mean weight** and standard deviation of newborns born after a gestation of 32 to 35 weeks are 2700 grams and 800 grams, respectively.

Consequently, the **33-week gestation** baby's Z-score is 2250 grams.

Z = σx − μ = (2250−2700) / 800 = -450 / 800 = **−0.5625**

The goal is to calculate the** Z-score** for babies born at 33 weeks gestation.

There is sufficient data to infer, based on the Z-score, that the **33-week gestation **period falls 0.56 standard deviations below the mean.

According to the data, **babies** that are born after a gestation of 40 weeks have a mean weight of 2900 grams and an average range of 445 grams.

Consequently, the baby's Z-score at **40 weeks of pregnancy, **weighing 2450 grams, is

Z = σx − μ = 385 / 2450 − 2900 = 385 / -450 =** -0.86**

The goal is to calculate the Z-score for baby weights at 40 weeks of gestation.

There is sufficient data to infer, based on the **Z-score, **that the 40-week gestation time falls 0.86 standard deviations below the mean.

The **infant weighs** 2250 grams at 33 weeks gestation, and the Z-score is -0.56.

The baby weighs 2450 grams at** 40 weeks** of pregnancy, and the Z-score is -0.86.

Since the infant weighs** 2450 grams **during **40 weeks of gestation, **the Z-score for that period is** lesser at** **-0.86.**

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ANSWER QUICK I WILL GIVE BRAINLIEST!

Which expression is equivalent to 3(−2.4s − 3.8)? −7.2s − 11.4 −7.2s − 3.8 −0.6s − 11.4 −0.6s − 3.8

**Answer:**

-7.2s - 11.4

**Step-by-step explanation:**

**Answer:**

-7.2s -11.4

**Step-by-step explanation:**

Distribute the 3 to each value in the parentheses by multiplying

you get -7.2s -11.4

Solve (2x + 5)² – 7 = 0 using extracting the square root.

Answer: x = [tex]\frac{ \sqrt{7}-5}{2}[/tex]

x = [tex]\frac{ -\sqrt{7}-5}{2}[/tex]

Step-by-step explanation:

[tex](2x + 5)^{2} - 7 = 0[/tex]

Add 7 to both sides of the equation.

[tex](2x + 5)^{2} - 7 + 7= 0 + 7[/tex]

Subtracting 7 from itself leaves 0.

[tex](2x + 5)x^{2} =7[/tex]

Take the square root of both sides of the equation.

[tex]2x + 5 = \sqrt{7} \\2x + 5 = -\sqrt{7}[/tex]

Subtract 5 from both sides of the equation.

[tex]2x + 5 - 5 = \sqrt{7} - 5 \\2x + 5 - 5 = - \sqrt{7} - 5[/tex]

Subtracting 5 from itself leaves 0.

[tex]2x = \sqrt{7} - 5 \\2x = - \sqrt{7} - 5[/tex]

Subtract 5 from [tex]\sqrt{7}[/tex].

[tex]2x = \sqrt{7} - 5[/tex]

Subtract 5 from [tex]-\sqrt{7}[/tex].

[tex]2x = -\sqrt{7} - 5[/tex]

Divide both sides by 2.

[tex]\frac{2x}{2} =\frac{ \sqrt{7}-5}{2} \\\frac{2x}{2} =\frac{- \sqrt{7}-5}{2}[/tex]

Dividing by 2 undoes the multiplication by 2.

[tex]x=\frac{ \sqrt{7}-5}{2}\\x=\frac{ -\sqrt{7}-5}{2}[/tex]

Yesterday grace sold 18 phones and 21 accessories and made a tot commission of 204 today she sold 6 phone and 15 accessories and made a total commission of 82 determine the price of each accessory

Answer: by gamelover

commission of each accessory = $2

commission of each phone = $9

Given:

Commission on 18 phones and 21 accessories = $204 commission on 6 phones and 14 accessories = $82.

To find:

the price of each phone and the price of each accessory.

Solution:

let the commission of each phone be P and the accessory be A.

according to the question,

18P + 21A = 204

6P + 7 A = 68 -----i

6P + 14 A = 82 ------ii

by substitution of i in equation ii,

68 - 7A + 14A = 82

7A = 14

A = 2

commission of each accessory = $2

to find the commission on each phone:

6P + 7 x 2 = 68

6P = 54

P= 9

commission of each phone = $9

Hence, the required answers are 2 and 9.

What is the measure of the base of the rectangle if the area of the triangle is 28ft^2 ?

PLSSS ANSWER ASAP

The measure of the base of the **triangle** is 14 ft.

A **triangle** is a polygon with three sides. The sum of angles in a **triangle** is 180 degrees.

Therefore, the area of a **triangle** can be calculated as follows:

area of a triangle = 1 / 2 bh

where

b = baseh = heightTherefore,

area of the **triangle** = 28 ft²

height of the** triangle** = 4 ft

base of the** triangle** = ?

Hence,

area of the** triangle** = 1 / 2 × b × 4

28 = 1 / 2 × b × 4

28 = 4b / 2

28 = 2b

divide both sides by 2

b = 28 / 2

b = 14

Therefore,

base of the **triangle** = 14 ft

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The **measure **of the **base **of the **triangle **would be;** **14 ft.

A **triangle **is a **polygon **with three sides. The sum of **angles **in a triangle is 180 degrees.

Therefore, the **area **of a triangle can be **calculated **by the formula;

The area of a **triangle **= 1 / 2 b h

where

b = base

h = **height**

Thus,

The area of the **triangle **is 28 ft²

The **height **of the triangle = 4 ft

The base of the triangle =?

Hence,

**Area **= 1 / 2 × b × 4

28 = 1 / 2 × b × 4

28 = 4b / 2

28 = 2b

Then **divide **both sides by 2

b = 28 / 2

b = 14

Therefore, the **base **of the **triangle **is 14 ft

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Nicholas's favorite game to play on his phone is Rex's Racers. At the start of Level 3, he scored – 85 points for hitting some litter on the racetrack. Right after that, he scored – 35 points for skidding on some oil. What is Nicholas's score now?

**Answer:**

nicholas' score is -120 points

**Step-by-step explanation:**

-85-35=-120

Ana is traveling North America. How many pesos

can she exchange for 150 Canadian dollars?

Hint: 5 pesos = 0.3 Canadian dollars

Ana is traveling North America, she can exchange for 150 **Canadian dollars**, 2500 **pesos**.

Canada's official currency is the **Canadian dollar**. There is no standard disambiguating form, nevertheless, prominent style guides frequently recommend **abbreviation **Can$ to distinguish it from other dollar-denominated **currencies**. It is abbreviated with dollar sign $. There are 100 **cents **(¢) in it.

Due to the common loon depicted on its reverse, the dollar coin and occasionally the money itself are referred to as "loonies" by English-speaking Canadians, currency dealers, and analysts.

The Canadian dollar ranks behind the U.S. **dollar**, the **euro**, the **yen**, and **sterling **as the fifth most widely held reserve currency in the world, making up around 2% of all reserves. Because of Canada's relatively stable economy, strong sovereign position, and stability of its judicial and **political systems**, the Canadian dollar is favored by central banks.

5 pesos = 0.3 Canadian dollars

5\0.3 pesos = 1 Canadian dollars

[tex]150 Canadian dollars= \frac{5}{0.3} * 150 pesos = 2500 pesos[/tex]

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Complete the statement below about the two figures

The two figures are **not the same size** because 6/3 **twice less than** 8/4.

A **scale factor** is defined as the factor that shows how much a figure is greater or smaller than the original size that it's been compared to.

From the **square diagram** that is given the smaller square is double the larger square.

This can be calculated by dividing the bigger sides by the smaller sides.

That is ;

6/3 =2

8/4 = 2

It can therefore be concluded that the two square shapes are **not** of the **same size **as the smaller square is two time smaller that the bigger square.

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In Exercises 19-22, are AC and DF parallel? Explain

your reasoning.

19.

21.

A

57° B

D

D

123⁰

E

CF

62⁰

A B 62°

E

с

F

20.

22.

A B

D

A

143⁰

D

37°

65°

E

115°

E

с

B C

65°

F

For the given question, the** line AC **and DF are found to be** parallel lines**.

Parallel lines are two or more lines which lie within the same plane but never intersect.

The basic properties listed below make it simple to identify parallel lines.

For the given parts:

**Part 19:** Line AC || Line DF

57° + ∠B = 180° (linear pair)

∠B = 123°

∠B = 123° (**corresponding angles** are equal)

Thus, Line AC || Line DF

**Part 20:** Line AC || Line DF

∠B = 143° (vertically opposite angles)

Then, ∠B + 37° = 143° + 37° = 180° (linear pair)

Thus, Line AC || Line DF

**Part 21:** Line AC || Line DF

62° + ∠B = 180° (linear pair)

∠B = 118°

And, ∠E = 62° (alternate interior angles)

So, ∠B + ∠E = 118° + 62° = 180° (**linear pair**)

Thus, Line AC || Line DF

**Part 22: **Line AC || Line DF

∠B = 180° - 115° = 65°

∠B = 65° (alternate interior angles)

Thus, Line AC || Line DF

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