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3 years ago

Sorry if l’m posting so many photo but l really just need help for my math class homework

Mathematics

2 answers:

Finger [1]3 years ago

8 0

We have 2 angles that are supplementary, so their sum equals 180⁰.

(4x - 10) + (7x - 8) =180

11x - 18 = 180

11x = 198

x = 18

andrew-mc [135]3 years ago

5 0

Assuming you want the value of x:

The angles are on a straight line which means they must add up to 180 degrees. Make this into an equation.

(4x - 10) + (7x - 8) = 180

Combine like terms.

11x - 18 = 180

Add 18 to both sides.

11x = 198

Divide both sides by 11.

x = 18

If you want the measurements of the angles, plug x into the angles.

4x - 10 ⇒ 4(18) - 10 = 62°

7x - 8 ⇒ 7(18) - 8 = 118°

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3 years ago

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olga55 [171]

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3 years ago

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3 years ago

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GaryK [48]

Answer:

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Step-by-step explanation:

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2 years ago

A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th

Rufina [12.5K]

Answer:

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Part 2) The base is $7.5\ in$ and the height is $18.75\ in$

Step-by-step explanation:

case 1) Right isosceles triangle of the left

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

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$x=2.5y$ -----> equation B

substitute equation B in the equation A

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case 2) Right isosceles triangle of the right

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

$y+x+y=45$

$2y+x=45$ ----> equation A

$\frac{y}{x} =\frac{5}{2}$

$y=2.5x$ -----> equation B

substitute equation B in the equation A

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Find the value of y

$y=2.5(7.5)=18.75\ in$

3 0

3 years ago