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3 years ago

Find the measure of each angle. Assume the lines are parallel.

Mathematics

1 answer:

andreev551 [17]3 years ago

4 0

Answer:

2 = 67

3 = 113

4 = 67

5 = 113

6 = 67

7 = 113

8 = 67

Step-by-step explanation:

opposite angle have to equal 180 because if you combine them they just become the line.

since the lines are parallel, measurements will be the same for the bottom set of angles as they are the top set of angles.

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The graphs of f(x) and g(x) are shown below: graph of function f of x open upward and has its vertex at negative 7, 0. Graph of

dexar [7]

The equation of the function is g(x)=(x+7)² -2 , Option D is the correct answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement that defines relation between two variables.

The f(x) = (x+7)²

The equation for g(x) is ?

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-7,2).

g(x) is formed by the translation of the function f(x) such that it's vertex is (-7,-2)

Therefore the equation of the function is

g(x)=(x+7)² -2

Therefore , the translation is a shift of the function f(x) 2 units down

Option D is the correct answer.

To know more about Function

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2 years ago

Find the product (4x-3y)(2x+5)

Llana [10]

Answer:

8x²−6xy+20x−15y

Step-by-step explanation:

(4x−3y)(2x+5)

=(4x+−3y)(2x+5)

=(4x)(2x)+(4x)(5)+(−3y)(2x)+(−3y)(5)

=8x²+20x−6xy−15y

=8x²−6xy+20x−15y

5 0

3 years ago

A swimming pool has a length of 25 ft, a width of 15 fr, and a depth of 4 ft. What is the volume of the water in this pool when

timofeeve [1]

Answer:

1312.5 cubic feet

Step-by-step explanation:

Let the swimming pool be a rectangular prism

The volume of a rectangular prism is:

Volume = length * width * depth

Length = 25 (given)

Width = 15 (given)

The depth is 4ft, but they want the volume when water is 6 inches FROM THE TOP, that is, out of 4 feet, 6 inches (1/2 feet) IS NOT FILLED. So the depth of water is

4 - 1/2 = 3.5 feet

So, we can say

Depth = 3.5 (found)

Hence, the volume would be:

Volume = 25 * 15 * 3.5 = 1312.5 cubic feet

8 0

3 years ago

Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent var

charle [14.2K]

Answer:

<em>C. Omitted variable bias </em>

Step-by-step explanation:

In mathematics and statistics, omitted-variable bias (OVB) happens if one or more important variables is left out by a statistical model.

The bias results in the equation being related to the expected effects of the included variables by the influence of the excluded variables.

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2 years ago

4) A certain computer costs $599.00 at Best Buy. On Black Friday, it is on sale for 35% off. What is the price of the computer o

lawyer [7]

Answer:

$389.35

Step-by-step explanation:

A certain computer costs $599.00 at Best Buy. On Black Friday, it is on sale for 35% off.

So, after 35% off the price of the computer will reduce from $599.00.

We are asked to find the cost of the computer on Black Friday.

Therefore, the price of the computer will reduce by $[599 \times \frac{35}{100}] = 209.65$ Dollars.

And the reduced price on the Black Friday will be $(599 - 209.65) = $389.35 (Answer)

5 0

2 years ago