(In the picture)

Options

- Transitive Property of

Congruence

- Subtraction Property of

Equality

- Vertical Angles Theorem

(VAT)

- Division Property of

Equality

- Given

- Angle Congruence

Postulate

- Substitution Property of

Equality

The **missing reasons** are for the given** two triangles** VXW and VYZ are found.

The missing reasons for the following proof are -

∠XVW ≅ ∠W ; - Given∠XVW ≅ ∠ZVY ; Vertical Angles TheoremThus, the **missing reasons** are for the given** **two triangles VXW and VYZ are found.

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help quick 10 points

**Answer:**

-x+6

**Step-by-step explanation:**

the slope is negative because the line is moving down. the y intercept is positive 6 because the line goes through the line (0,6)

¿What is the constant term missing in the perfect square that begins with x ^ 2-20xx

2

−20xx, squared, minus, 20, x?

Some of the terms of an equation that has missing terms will be eliminated.

100 is the missing term that transforms (x² - 20) into a **perfect square**.

**What is a perfect square?**

A **perfect square** is a number that can be written as the product of an integer multiplied by itself or as the integer's second exponent. For instance, the number 25, which is the product of the integer 5 multiplied by itself, is a perfect square because 5 x 5 = 25.

The missing term will be calculated in the next step.

Use k to represent the **x-coefficient**.

We thus have:

k = -20

Divide both sides by 2

k/2 = - 10

squaring both the sides,

(k/2)² = (- 10)²

=> (k/2)² = 100

This means that the term that is lacking is 100.

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Question:

What is the missing constant term in the perfect square that starts with x^2 -20x?

1.1 Complete the table.

Length (cm) Length (mm)

4

12

50

88.49

What is the constant of proportionality?

The **constant **of **proportionality **in the given representation** **is 3 .

The proportionality constant is the **ratio **that connects two given numbers in a connection that is thought to be proportional. The proportionate constant is also known as constant ratio, unit **rate**, **variable **of variation, and even rate of change.

The proportionality constant is calculated by a proportionality constant illustration.

Finding the proportionality constant begins with identifying the x and y elements. To figure out the weight to stick ratio, x will stand for size and Y for the number of butter sticks. We use the **equations **k = y/ x to calculate the proportionality constant.

Given the value of x is 4 and the value of y is 12

therefore using the equation we get

k= 12 / 4 = 3 .

Therefore the complete table will be

length (x) (y)

4 12

50 150

88.49 265.47

Hence the proportionality constant is 3 .

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Which of these is most commonly a role of the government in the United States economy?

Answer:

The most obvious way the government is involved in the U.S. economy is providing public goods and services like education, military protection, national parks and federal highways.

Step-by-step explanation:

PLEASE HELP! I ONLY HAVE A FEW MINUTES!! The amount of money put in the cash register, y, after selling x hotdogs at the snack shack. The slope is 2 1/4 and the y-intercept is 10

Explain what the slope and the y-intercept mean in this situation.

The **interpretations **are

**The slope**

From the question, the **slope **is given as

Slope = 2 1/4

From the question, we have

y = Amount of money

x =Number of hot dogs

This means that the **amount **of money per 1 hot dog is $ 2 1/4

**The y-intercept**

From the question, the **y-intercept **is given as

y-intercept = 10

From the question, we have

y = Amount of money

x =Number of hot dogs

This means that the **initial amount **of money is $10

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A person placed $4080 in an investment

The **compound interest **comes into the picture when **interest adds **on the **principal** amount. The **total** **value **of $4080 after 4 years with a rate of interest of 5.7% is $4124.83.

Compound interest is **applicable **when there will be a **change** in **principal **amount after the given **time period**.

For example, if you give **anyone **$500 at the rate of 10% annually then $500 is your **principle** **amount **but after 1 year it will convert into $550.

As per the given,

**Principle amount **P = $4080

**Rate **of interest r = 5.7% = 0.057

Time period t = 4 years.

The **formula **for **total value **is given as,

V = P[tex]e^{rt}[/tex]

V = 4080[tex]e^{(0.057\times4)}[/tex]

V = $5124.83

Hence "The **compound interest **comes into the picture when **interest adds **on the **principal** amount. The **total** **value **of $4080 after 4 years with a rate of interest of 5.7% is $4124.83".

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The given question is incomplete complete question follows;

Which graph shows the solution to the inequality?

x - 4 ≤ -1

**Answer:**

[tex]x -4 \leq -1\\x -4 + 4 \leq -1 + 4\\x\leq -1 +4\\x\leq +3[/tex]

**Answer:**

x ≤ 3

**Step-by-step explanation:**

This is the answer because I say it is

Michael is driving to Hollywood, California. Hollywood is 1,375 miles from Michael's. home. If Michael spends 4 days driving to Hollywood, what is the fewest number of miles he can drive each day?

**Answer:**

343.75

**Step-by-step explanation:**

dividing the number of miles by the number days to get fewest equal number miles per each day

A quadratic function passes through the points (−1,−1), (2,−19), and (3,−33).

What is the equation of the function in standard form?

A) f(x)=−2x^2−4x−3

B) f(x)=−2x^2+4x−3

C) f(x)=−2x^2−4x+3

D) f(x)=−2x^2+4x+3

The **quadratic function **has an **equation **of f(x) = -2x² - 4x - 3

From the question, the **ordered pairs** are given as

(−1,−1), (2,−19), and (3,−33).

A **quadratic function **is represented as

f(x) = ax²+ bx + c

Using the **point **(-1, -1), we have

a(-1)²+ b(-1) + c = -1

So, we have

a - b + c = -1

Using the **point **(2, -19), we have

a(2)²+ b(2) + c = -19

So, we have

4a + 2b + c = -19

Using the **point **(3, -33), we have

a(3)²+ b(3) + c = -33

So, we have

9a + 3b + c = -33

So, we have

a - b + c = -1

4a + 2b + c = -19

9a + 3b + c = -33

Using a graphing tool, we have

a = -2, b = -4 and c = -3

Substitute a = -2, b = -4 and c = -3 in f(x) = ax²+ bx + c

So, we have

f(x) = -2x² - 4x - 3

Hence, the **equation **is f(x) = -2x² - 4x - 3

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A triangle has side lengths of (10f+6)(10f+6) centimeters, (2f-4)(2f−4) centimeters, and (9g+1)(9g+1) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

The formula predicts that the **triangle'**s **perimeter** will be 12f+9g+3.

What is a** triangle**?

The sides of a **triangle** are (10f +6) centimetres, (2f-4) centimetres, and (9g+1) centimetres long, respectively.

The expression for the **triangle**'s perimeter will be

P = (10f+6) + (2f- 4) + (9g+1)

P = 12f+9g+3

The formula predicts that the **triangle'**s perimeter will be 12f+9g+3.

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I really need help, I’m struggling with the problem in the picture bellow

Please can someone help me soon

The x and y **coordinates** of Q are negative according to the transformation rule of a 90 degree counterclockwise rotation about the origin, which is (x, y)→ (-y, x).

C) Both x and y are negative.

A function translation is:When a **function** is transferred without undergoing any form or rotation changes, it has been "translated." A function may be translated both horizontally and vertically. Dilation, reflection, as well as rotation are additional "**transformations**" of a function that are feasible.

The following is the transformation formula for a 90° counterclockwise rotation about the origin:

(x, y) → (-y, x)

the triangle is then reflected across the x-axis,

the following **transformation** **rule**:

(x, y) → (x, -y)

So, we have:

(x, y) → (-y, -x)

From the graph, we have:

Q = (1,2)

So,

the coordinates of Q" are

Q" = (-2, -1)

Both the x and y **coordinates** of Q " are negative.

Therefore,

the correct answer is option:

C) Both x and y are negative.

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I understand that the question you are looking for is:

Triangle PQR is rotated 90 degrees counterclockwise about the origin to form the image triangle P'Q'R' (not shown). Then triangle P'Q'R' is reflected across the x-axis to form triangle P"Q"R" (not shown). What are the signs of the coordinates (x, y) of Point Q"?

A) Both x and y are positive

B) x is negative and y is positive

C) Both x and y are negative

D) x is positive and y is negative

Write as a monomial in standard form.

The **monomial** in **standard form **will be written as 5y³x².

A **Monomial** may be defined as a type of **polynomial **which contains only one term. For example, 3x², 5x and 6x are called monomials. When written in **standard form** it is the product of one or more factors which can be a **constant coefficient** and one factor for each variable in the expression. While writing in standard form the terms having the highest power is written first and then the **succeeding powers** are written. Here, the expression given is 5x²y³ which is not in standard form. The terms having **highest power** is y³ so it should be written before the term x² as 5y³x² which will be the required standard form.

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Class 7. Fractions & decimals

1/2 of 2 3/4

**Answer:**

11/8 or 1.375

**Step-by-step explanation:**

2 3/4 => 11/4

1/2 x 11/4 = 11/8

please help me I don't get this

**Answer:**

(10, 1) is a solution to this equation.

**Answer: your answer will be (10, 1)**

**Step-by-step explanation:**

**i just watch a mathematics video**

a) The sum of the three dimensions of a cuboid is 48 cm and the ratio among the lengths of its dimensions is 5: 4:3, Find its area. (grade 6)

**Answer:**

588 cm

**Step-by-step explanation:**

sarah, the yearbook editor, and mrs. moore, the yearbook sponsor, are reviewing costs to produce the yearbook new yearbook design software costs $800, and it costs $15 to print each yearbook.

A variable is a quantity that could change depending on the circumstances of an experiment or **mathematical problem**. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters** x, y, and z.**

A variable in mathematics is an **alphabet or phrase **that stands in for an unknowable amount, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are utilised. As an illustration, the linear equation x+9=4 has the variables x and 9 as **constants.**

A symbol (typically a letter) used in algebra to represent an** unknowable numerical** value in an equation. X and Y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s are examples of frequently used variables (arc length).

The price to produce x yearbooks will be 15x.

Additionally, software has a fixed cost of $800.

So the total price would be:

**y = 800 + 15x**

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(7a

3

−2a−2)+(−5a+3)

**Answer: 14a + 1**

**Step-by-step explanation: **

** ( 7a x 3 - 2a - 2 ) + ( -5a + 3 )**

**( 21a - 2a - 2 ) + ( -5a + 3 )**

**21a - 2a - 2 - 5a + 3**

**14a + 1**

= 18cm

c1 =

cm

XÑ

b1 = 25cm

Material Type

6²

163

c2=

b2 = 40cm

b3 = 55cm

b4 = 75cm

Quantity

c3 =

Total:

cm

Length (total)

**Answer:**

7.08661

**Step-by-step explanation:**

a square has side lengths. How long is each diagonal?

**Answer:the same as sid length**

**Step-by-step explanation:all sides are the same**

How do I know if these are true or false?For #9-12, True or False?9. In the construction of a frequency distribution, it is a not a good ideato have overlapping class limits such as 10 - 20, 20 ÷ 30, 30 - 40.10. It is not important to keep the with of each class the same in afrequency distribution. True11. In construction of a frequency polygon, the class limits are used forthe x-axis. ch12. Data collected over a period of time should be graphed by using apie chart. C

**Question 9.**

In the construction of a frequency distribution, it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40.

Let's determine if the above statement is true or false.

A frequency distribution shows a representation of the num ber of observations within a given interval either in tabular or grahical format.

In the construction of a frequency distribution, the class limits should be made very clear in order for each observation to fall into only one class.

It is not a good idea to have ovelaping class limits like 20-30, 30-40. This is because overlaping limits such as this would make it dificult to determine the class where 30 is located.

**Therefore, this statement ''it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40'' is TRUE.**

**ANSWER:**

**True.**

Work out the following calculations and give your answer to the nearest 10. A)23x46 b)25x68

**Answer:**

A) 1060 (corrected to the nearest 10) B) 1700

**Step-by-step explanation:**

A) the answer is 1058 which taken to the nearest 10 is 1060

B) the answer is 1700 which does not need to be corrected

Find CX. C(6,-4), X(1, -2)

The **value** of CX as asked will be √29 when two **points** are given as (6,-4) and (1,-2) by using the distance **formula** √((x2-x1)²+(y2-y1)²).

In geometry, a point is a **place**. It is **completely** empty, meaning it has no width, length, or depth. A **dot** indicates a point. A line is **described** as a **collection** of points that **extends** in both directions **indefinitely**. It has a single length dimension.

Distance is a **measurement** of how far apart two objects or points are, either **numerically** or occasionally **qualitatively**. **Distance** can refer to a physical length in physics or to an **estimate** based on other factors in common usage.

Here,

distance **formula** =√((x2-x1)²+(y2-y1)²)

CX=√((x2-x1)²+(y2-y1)²)

=√((1-6)²+(-2+4)²)

=√(25+4)

=√29

When two **points** are given as (6,-4) and (1,-2) by the **distance** formula √((x2-x1)²+(y2-y1)²), the value of CX as asked will be 29.

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It is given that the equation (mx)²+ 5nx+4=0 has two equal real roots while the quadratic equation px²-x+m=0 has two distinct roots where m,n and p are constants. Express the range of n in terms of p

Given:

[tex](mx)^2+5nx+4=0\text{ has two equal real roots}[/tex][tex]px^2-x+m=0\text{ has distict roots. }[/tex]Taking the first equation:

[tex]a=m^2\text{ ; b=5n ; c=4 }[/tex][tex]b^2-4ac=0[/tex][tex]25n^2-4m^2(4)=0[/tex][tex](5n)^2-(4m)^2=0[/tex][tex](5n+4m)(5n-4m)=0[/tex][tex]5n+4m=0\text{ ; 5n-4m=0}[/tex][tex]m=-\frac{5}{4}n\text{ ; m=}\frac{5}{4}n[/tex][tex]4m=-5n\text{ ; 4m=5n}[/tex]Taking the second equation:

[tex]a=p\text{ ; b=-1 ; c=m}[/tex][tex]b^2-4ac>0[/tex][tex]1-4pm>0[/tex]If 4m=5n,

[tex]1-p(5n)>0[/tex][tex]1>p(5n)[/tex][tex]\frac{1}{5p}>n[/tex]If 4m=-5n,

[tex]1-p(-5n)>0[/tex][tex]1+5pn>0[/tex][tex]5pn>-1[/tex][tex]n>-\frac{1}{5p}[/tex]Range of n in terms of p:

[tex]\frac{1}{5p}>n>-\frac{1}{5p}[/tex][tex]-\frac{1}{5p}What is the value of x?

**Answer:**

x = 20°

I hope it helps!

**Step-by-step explanation:**

80+a=180

a=100

a=2x+3x

100=5x

x=20

“A falcata is formed by taking a quadrant of a circle and removing a semicircle from it (see diagram).If the radius of the original circle is 2 units long, find the exact area of the falcata.”hello!! please help me out! i’m begging. this assignment is kicking my teeth in!!

step 1

Find out the area of the complete quadrant of the circle (1/4 of the complete circle)

[tex]A=\frac{1}{4}*pi*r^2[/tex]where

r=2 units

substitute

[tex]\begin{gathered} A=\frac{1}{4}*pi*2^2 \\ A=pi\text{ unit}^2 \end{gathered}[/tex]step 2

Find out the area of the semicircle removed

[tex]A=\frac{1}{2}*pi*r^2[/tex]where the radius of the semicircle removed is half of the radius of the circle

so

r=2/2=1 unit

[tex]\begin{gathered} A=\frac{1}{2}*pi*1^2 \\ A=\frac{pi}{2}\text{ unit}^2 \end{gathered}[/tex]therefore

to find out the area of the falcata, subtract the area of the removed semicircle from the area of the quadrant of the circle

The area of the falcata is

A=pi-pi/2=pi/2 unit2

the area of the falcata is pi/2 square unitscan someone help me solve this math problem with solution?? TYY! you

**Answer: n + 3**

**Step-by-step explanation:**

**Solution**

**n+3**

**Evaluate**

** (n 2 +n−6)**

**(n−2)**

**Remove the parentheses**

**n−2n 2 +n−6**

**Factor the expression**

**n−2**

**(n+3)(n−2)**

Solve for x :

ax+b=0 where a,b are any integers

Plus solution please

The **solution **for x of the given **equation **ax + b = 0 is x = -b/a.

The definition of an equation in **algebra **is a mathematical **statement **that **demonstrates** the equality of 2 mathematical **expressions**.

A **formula** known as an **equation** uses the **same** **sign **to denote the equality of two expressions.

As per the given **equation**,

ax + b = 0

**Add **-b both side

ax + b - b = 0 - b

ax = -b

**Divide **by both side

ax/a = -b/a

x = -b/a

Hence "The **solution **for x of the given **equation **ax + b = 0 is x = -b/a".

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answer this solve 2k+6k=h for k

The value of the **variable **k in the **equation** given as 2k + 6k = h is k = h/8

From the question, the **equation **is given as

2k + 6k = h

Evaluate the like terms

i.e. We add 2k and 6k together.

This gives 8k

So, we have the following **equation**

8k = h

**Divide **both sides of the equation by 87

So, we have the following equation

8k/8 = h/8

Evaluate the **quotient** in the equation

k = h/8

The equation cannot be further simplified

Hence, the solution for k is k = h/8

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lect the correct answer.The equation of a line is y=-3x - 2. What are the slope and the y-Intercept of the line?

Given the equation of a line as shown below :

[tex]y=-3x-2[/tex]To determine the slope and the y - intercept of the line, compare the equation with straight line equation

[tex]y\text{ = mx+c}[/tex]After comparing the equation of a line

[tex]\begin{gathered} m\text{ = slope} \\ c\text{ = y-intercept} \end{gathered}[/tex][tex]\begin{gathered} y\text{ = -3x-2 } \\ y=mx+c \\ m\text{ = -3 } \\ c\text{ = -2} \end{gathered}[/tex]**Therefore ****slope = -3 **** and ****y - intercept = -2**

A city advertises that the average number of runners over the past two decades in their annual road race is 800.

The difference between the average number of runners and the greatest number of runners is the same as the difference between the average number of runners and the least number of runners. The greatest number of runners in a race was 920.

What absolute value equation can be written to determine the least number of runners, and what is this value?

Enter your answers in the boxes.

Absolute value equation: |x- ___| = ___

The least number of runners in a race was ___

**Step-by-step explanation:**

Absolute value equation:

[tex] |x - 120| = 920[/tex]

least no of runners = 800 - ( 920 - 800) = 680

I need to know the answer quick because I have to go somewhere
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