It’s 800 in total for a phone off 20%. 20% of 1000 is 200, so you do 1000-800 to get your final answer

Given: ABCD is a parallelogram; line FD is congruent to line BE

Prove: Line A F is congruent to line EC

From the **parallelogram **AECF, **lines **A F is similar to E C.

You should know that two or three** lines** are **congruent** if they are the same or if they look alike.

The given parameters are

Parallelogram A E CF (given)

Parallelogram A B C D given

In every parallelogram, opposite side are **parallel** and similar

From **parallelogram** ABCD, line AB = DC = FD

Also, AB=DC=BE

In the figure also, ΔAFD=ΔBCE (similar triangles)

Therefore, A F similar to E C

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How do you prove that a triangle is similar by SSS?

"If in two **triangles**, sides of one triangle are proportionate to (i.e., in the same ratio of) the **sides** of the other triangle, then their corresponding angles are equal and consequently the two triangles are comparable," asserts the Side-Side-Side **(SSS) criteria.**

Take a look at the **triangles** below.

- We can see that all three pairs of the sides of these triangles are congruent. - This is also known as "side-side-side" or "SSS." According to the SSS criteria for triangle congruence, two triangles are congruent if they have three pairs of **congruent sides.**

**SSS Congruence Rule** Theorem

When one triangle's three sides are identical to the corresponding three sides of another triangle, two triangles are said to be congruent.

The aforementioned theorem will now be proven.

Given: [tex]\triangle A B C[/tex] and [tex]\triangle P Q R[/tex] such that AB=PQ, BC=QR and AC=PR.

To prove: [tex]\triangle A B C \cong \triangle PQR[/tex]

Construction: Let BC be the longest side of [tex]\triangle A B C[/tex] and so QR is the longest side of [tex]\triangle P Q R.[/tex]

Draw PS so that [tex]\angle R Q S=\angle C B A[/tex] and [tex]\angle Q R S=\angle B C A[/tex].

Join SQ and SR.

In [tex]\triangle ABC[/tex] and [tex]\triangle SQR[/tex],

BC=QR Given

[tex]\angle C B A=\angle R Q S[/tex] By construction

[tex]\angle B C A=\angle Q R S[/tex] By construction

[tex]\triangle A B C \cong \triangle SQR[/tex] By ASA congruence

[tex]\angle A=\angle S[/tex] By **CPCTC**

AB=SQ By CPCTC

AC=SR

Now, AB=PQ and AB=SQ => PQ=SQ

Similarly, AC=PR and AC=SR => PR=SR

Hence, [tex]\triangle ABC \cong \triangle PQR,[/tex]

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2/9x18

Please show step by step example

2/9 x 18

You would start by dividing 2/9

Which equals .2 repeating, or you could leave it as a fraction (2/9), which is what I’m doing

You would then multiply that by 18

2/9 • 18 = 4

So your answer would be 4

You would start by dividing 2/9

Which equals .2 repeating, or you could leave it as a fraction (2/9), which is what I’m doing

You would then multiply that by 18

2/9 • 18 = 4

So your answer would be 4

Which has a vertex at (-2,-3)?

A) y = x² + 4x+1

B) y = x² + 4x - 1

C) y = x² - 4x + 1

D) y = x² - 4x-1

It is A because (-2)^2 +4(-2) +1 = -3

Which shape has 4 sets of parallel lines?

**Answer:**

Octagon

**Step-by-step explanation:**

An octagon has 4 sets of parallel lines and 8 sides.

Answer the geometry question

**Answer:**

52 degrees

**Step-by-step explanation:**

The 3 angles of a triangle add up to 180 degrees

To find angle C, use 180 - B - A = C

180 - 85 - 43 = 52

The second term of a geometric sequence is 6 and the fifth term is 48, what is the nth term of

the sequence?

**Answer:**

1536

**Step-by-step explanation:**

**Answer:**

3,6,12,24,48,96,192,384,768,1536

I don't know which term you need so i mentioned all terms

What are the 2 types of functions give examples?

The two types of** functions** are **linear and non linear functions**.

A linear function is a function that can be written in the form f(x) = mx + b, where m and b are** constants.** This type of function has a constant rate of change, meaning the output will always increase or decrease the same amount for a given change in the input. For example, if the input increases by 3, the output will increase by 6. An example of a linear function is f(x) = 3x + 5. This function will always increase by 3 for each **increase **in the input, and will always have a y-intercept of 5.

A non-linear function is a function that **cannot** be written in the form f(x) = mx + b. This type of function has a variable rate of change, meaning the output will increase and decrease at different rates for different changes in the input. An example of a non-linear function is f(x) = x2 - 4x + 5. This function will increase and decrease at **different rates** for different changes in the input, and will always have a y-intercept of 5.

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What is the value of K if X 1 is a factor of 4xÂ³ 3xÂ² 4x K?

The **value **of k is -3, if x-1 is a **factor** of 4x³+3x² −4x + k

**Quadratic Equation:**

A** quadratic equation **is a **second-order algebraic equation** in x. The quadratic equation in **standard form** is ax2 + bx + c = 0. where a and b are the** coefficients**, x is the variable, and c is the **constant term**. The first condition of the quadratic equation is that the coefficients of x² are **non-zero terms **(a ≠ 0). To write a **quadratic equation** in standard form, first write the x² term, then the x term, and finally the constant term. The numbers for a, b, and c are generally written as whole numbers, not as **fractions **or decimals.

According to the Question:

Let **P(x) = 4x³+3x² −4x + k**

Given, (x−1) is a factor of P(x)

x−1 = 0

x= 1

∴ p(1) = 4×(1)³+3×(1)² −4×(1)+k = 0

⇒ 4+3−4+k = 0

⇒ k+3=0

⇒ k=−3

Hence, the **value** of k is −3.

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tell whether the lines for each pair of equations are parallel perpendicular or neither y= -1/5x + 6 and -2x+10y=5

NEED HALP ASAP!!

**Answer:**

neither coz m1=-1/5 and m2=1/5

m1 is not equal to m2 [not parallel]

m1× m2 is not equal to -1.[not perpendicular]

How do you prove AAS congruence rule?

The two **triangles** are congruent if two angles and a non-included side of one triangle are congruent with two **angles** and the corresponding non-included side of a second triangle. So it was proved.

The two triangles are **congruent** if two angles and a non-included side of one triangle are congruent with two angles and the corresponding non-included side of a second triangle.

If angle ad, side ac-df, and angle cf are present, then ABCDEF is true.

To support: By the angle sum **property**, ABC DEF A+B+C=180° ______ (1)

In DEF D+E+F=180°___________ (2) (By angle sum property)

From (1) and (2), A+B+C= D+E+F A+E+F= D+E+F

(Given B=E and C=F) A=D ____________________ (3)

Currently, in ABC and DEF A=D (from (3))

AC = DF (Given)

C=F (Give (AAS **congruency**)

So it was proved.

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|3t+6| =9

A. n= -5

B. n= 1

C. n= -1 or 1

D. n= -5 or 1

**Answer:**

C, n= -1 or 1.

**Step-by-step explanation: The bars around 3x+6 are absolute value bars (| |), meaning that whatever lies inside of them will turn positive. An example: |-9| ➡️ 9. So, since we do have the absolute value bars, multiplying 3 by -1 would not effect the equation. So therefor we could use a regular 1 or a negative one to make the equation equal to 9.**

A triangle has two sides of length 8.3 and 3.4. What compound inequality describes the possible lengths for the third side, x?

Using **Pythagoras theorem** the **compound inequality** for the possible length is 7.6 ≤ x ≤ 9

**Pythagoras theorem** states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

To find the possible value for the third side, we have to use Pythagoras formula which is given as;

x² = y² + z²

In the first scenario, we would assume the third side is the hypothenuse

x² = 8.3² + 3.4²

x = 9

In the second scenario, we would assume the third side is one of the legs of the triangle and the formula will change to

8.3² = y² + 3.4²

y² = 8.3² - 3.4²

y = 7.6

Writing a** compound inequality** to show the possible length

7.6 ≤ x ≤ 9

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The first term in an arithmetic sequences is 5. The third term in the sequences is -1. The tenth term in the sequences is -22. Write the explicit form that would be used to find the nth term in the sequence. Show the steps you took to write the simplified explicit form.

The** explicit form** that would be used to find the **nth term** in the **sequence **is aₙ = 2 + 3n

**What is arithmetic sequence?**

The **difference **between each **consecutive term **in an **arithmetic sequence** is **constant**.

An explicit formula for an arithmetic sequence is a = d(n - 1) + c, where d is the common difference between consecutive terms.

**According to the given question:**

The first term in an arithmetic sequence is 5 that is a = 5

Now, the third term in the sequences is -1

a₃ = a + 2d

By substituting the value of a and a₃ we can find d for the arithmetic sequence.

-1 = 5 + 2d

2d = -6

d = -3

So, the explicit form that would be used to find the nth term in the sequence is

aₙ = 5 - (n - 1)(-3)

Simplifying further to get

aₙ = 2 + 3n

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What is the sum of roots of x2 +5 x 6 0?

The **sum **of **roots **of x2 + 5x + 6 = 0 is -5.

x2 + 5x + 6 = 0

To find the sum of roots, we need to **factor the equation **:

x2 + 5x + 6 = 0

x2 + 3x + 2x + 6

= 0

x(x + 3) + 2(x + 3)

= 0

(x + 3)(x + 2) = 0

x = -3, -2

Sum of Roots = -3 + (-2) = -5

x2 + 5x + 6 = 0

To find the sum of roots, we need to **factorize **the given equation. To do that, we can divide the equation into two parts, x2 + 3x and 2x + 6. We can factorize the first part as x(x + 3) and the second part as 2(x + 3). Then, we can multiply both parts to get the factorized equation, (x + 3)(x + 2) = 0. We can solve this **equation** to get the roots, x = -3 and -2. Finally, we can add both roots to get the** sum of roots**, -3 + (-2) = -5.

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What is the relationship between the base and height when you are finding the area of a triangle?

The base in term of the height of the** triangle **is written as ;b = 2A/h.

A closed triangle has three sides. It is among the fundamental geometric shapes because it has three vertices and three sides.

Based on the length of its sides, a triangle can be labeled as equilateral, isoscles, or scalene.A two-dimensional shape's area is the space the shape takes up. By dividing the shape equal unit squares and counting them, since each unit square takes up one square unit space, the area may be obtained.Think about the ABC scalene triangle. Keep in mind that the height of a triangle must be perpendicular towards the base in order for its area to be expressed as being half that of a rectangle. Create a perpendicular hence from a vertex to the opposite side.Thus, the formula for the are area of the triangle is -

A = 1/2 bh

In which,

b = **base **of the triangle.

h = height of the triangle.

In term of the** height.**

b = 2A/h

Thus, the base in term of the height of the triangle is written as;b = 2A/h.

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Is 1 and 2 a square number?

According to **square numbers** , 1 is a square number while 2 is **not** .

**What does Squaring mean ?**

In **mathematics**, a square is the result of multiplying a number by itself. The verb "to square" is used to denote this operation. Squaring is the same as raising to the **power** 2, and is denoted by a **superscript** 2; for instance, the square of 3 may be written as 32, which is the number 9.

When you **multiply** an integer (a “**whole**” number, **positive**, negative or **zero**) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square **numbers**.

Thus , 1 is a **square number **while 2 is not .

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There were 17 unny day thi year, which wa 18 fewer than lat year. Two year ago , there were three time a many unny day a there were thi year. How many unny day were there in all three year?

The **total number** of sunny days for the three years is **103 days**.

This year there were **17 sunny days**.

There were 17 sunny days this year, **18 fewe**r than last year. This is to mean that, last year, sunny days were **18 days more** than this year, Which can be found by;

**18+17 = 35 **sunny days

Sunny days two years ago were three times the sunny days this year which is;

**3×17 = 51** sunny days

Therefore, the total number of sunny days for the three years is calculated by adding the total number of sunny days for the three years:

**17 + 35 + 51 = 103** sunny days

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What is the slope of the line y =- 3x 1 3?

The **slope** of the line y =3x(1 ,3) is 3.

The ratio of how much y grows as x grows by a certain amount is known as a line's **slope**. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same). In math, we frequently want to quantify the steepness. Slopes B and C are clearly higher than slope A. While slope A is just four units high, they are both seven units high. Therefore, it would seem that height and steepness are related.

Given

**Equation**

y = 3x (1,3)

Using **slope** **intercept** **form**,

y = mx + b

m = slope

m = 3

The **slope** of the line y =3x(1 ,3) is 3.

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The graph shows the the number of mistakes made on an exam. How many students made four or more mistakes?

8 students i believe

What is the discriminant of 2xÂ² 5x 3 0?

The discriminant of a** quadratic equation** is equal to the **expression **(b^2 - 4ac) where a, b, and c are the coefficients of the equation. In this case, the discriminant is equal to (5^2 - 4(2)(3)) = 25 - 24 = 1.

The discriminant of a **quadratic equation** is a numerical value that can be used to determine the nature of its roots. The discriminant is equal to the expression (b^2 - 4ac) where a, b, and c are the **coefficients **of the equation. In this case, the equation is 2xÂ² 5x 3 0. We can identify the coefficients of the equation as a = 2, b = 5, and c = 3. Using the formula, the discriminant is equal to (5^2 - 4(2)(3)) = 25 - 24 = 1. This means that the equation has two real and equal roots, as the discriminant is equal to zero. This can be seen by **factoring **the equation, which gives us (2x - 3)(x + 1) = 0. The roots of the equation are then x = 3/2 and x = -1.

**Discriminant **= b^2 - 4ac

= (5)^2 - 4(2)(3)

= 25 - 24

= 1

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how to determine sample size needed for confidence intercal when population standard deviation not known

When the **population **standard deviation is not known, the sample size needed for a **confidence **interval can be determined using the **t-distribution**.

The t-distribution is used to **calculate **the margin of error, which is the amount of **variation** that is allowed in the sample results. The sample size needed for a confidence interval is determined by calculating the critical value of the **t-distribution** for a given level of confidence and degree of **freedom**. The degree of freedom is the number of independent observations in the sample minus one.

The confidence level determines the **critical value **of the t-distribution, which is used to calculate the margin of error. The sample size is then calculated by dividing the margin of **error **by the desired confidence level. This method allows us to determine the sample size needed for a confidence interval even when the population **standard deviation **is unknown.

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what factors predict how much money a film will earn? a data scientist at a top movie studio fits a multiple regression model to predict domestic gross earnings ($ millions) from: the film budget ($ millions), the film run time (minutes) average rotten tomatoes rating score [0, 100] gross

Therefore, the solution to this problem is the option 3) **Gross** =$204.1 million is the correct option.

Regression analysis, which is used in** statistical **modeling, is a collection of statistical procedures for determining the associations between a dependent **variable** and one or more independent variables.

Here,

Given: Multiple regression model to predict domestic gross earning.

=> Gross = -27 + (1.1*Budget)-(0.43*runtime)+(2.6*return) + error

We have,

budget = $75 million

runtime = 120 minute

rotten tomatoes =77

=>Gross = -27 + (1.1*75)-(0.43*120)+(2.6*77)

=> Gross =$204.1 million

Therefore, the option 3) Gross =$204.1 million is the correct option.

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What value of b will cause the system to have an infinite number of solutions 6 3 3 6?

The **value **of b when the system has an infinite number of solutions is **12.**

The Given equations are

y=6x-b ---(1)

6=3x+3y ----(2)

If the system has an infinite number of solutions, then equation 1 is **equal **to equation 2

If a pair of linear equations have **unique **or infinite solutions, then the system of equation is said to be a **consistent **pair of linear equations

Isolate variable y in equation 2

2=x+y

**Multiply **by 6 on both sides

y=6x-12 -----(3)

To find the value of b, **equate **equation 1 and equation 3

6x-b=6x-12

**b=12**

Thus the value of b=12.

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PLEASE HELP!!!!!!!

Use the expression below. -4b + 8c + 12-8b-2c +6 Part A Simplify the expression. Enter your answers in the boxes. b+ C+

-12 b + 6 c + 18 is the answer

**Answer:**

Option D is correct answer

**Step-by-step explanation:**

-4b + 8c + 12 - 8b - 2c + 6

-4b - 8b + 8c - 2c + 12 + 6

-12b + 6c + 18

Take 6 as common

**6(-2 + c + 3)**

**Thus,**** **The answer is **6(-2 + c + 3)**

Evaluate each expression.

The final **answers **are a) 12 b)3/28 c) 2

In Maths,** reciprocal** is simply defined as the inverse of a value or a number. If n is a real **number**, then its reciprocal will be 1/n. It means that we have to** convert** the number to the upside-down form. For example, the** reciprocal** of 9 is 1 divided by 9, i.e. 1/9

Given here a) 4÷1/3 = 4×3

=12

b) 3/8÷7/2 = 2×3/8×7

= 3/28

c) 3¹/₂ ÷7/4 = 7/2÷7/4

= 2

Hence the **answers **are 12, 3/28 , 2

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Hi my name is Bryce what is yours.

Andres is my name what about you

How many terms are there in the expression 5xy +9yz+ 3zx 5x 4y?

3 terms. Terms are separated by a + or - sign.

A water park charges a rental fee plus $2.00 per hour for lockers. The total cost of 5 hours is $13.00. Assume the relationship is linear. Find the rate of change and the rental fee.

x = the rental fee

x + 1.50*6 = 15

x + 9 = 15

x = 15 - 9

x = $6

The rental fee is $6.

x + 1.50*6 = 15

x + 9 = 15

x = 15 - 9

x = $6

The rental fee is $6.

What is the base area B?

The space occupied by the flat surface of a cylinder's base, also known as the** base area**, is quantifiable.

Given,

Base area of cylinder;

The** amount of space** that a flat surface at the base of a cylinder occupies is known as the base area. Since the cylinder's base is a circle, the base area of the cylinder is actually an area of a circle.

Formula for base area;

The** cylinder's base area** is calculated by multiplying the square of its radius by π.

Then,

"πr²" is the formula for the cylinder's base area with **radius** r.

That is,

**Base Area** of a Cylinder = (π × radius²) square units.

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Complete question is here;

What is the base area B of cylinder?

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