3 years ago

What is the measure of the highlighted angle?

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer:

130

Step-by-step explanation:

The two angles with measurements are vertical angles and vertical angles are equal

12x-2 = 10x+20

Subtract 10x from each side

12x-10x -2 =10x-10x+20

2x-2 = 20

Add 2 to each side

2x-2+2 =20+2

2x= 22

Divide each side by 2

2x/2 =22/2

x =11

We want to find 2x-2

12(11)-2

132-2

130

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mr_godi [17]

Area of rectangle is $2x^2+x-45$

Step-by-step explanation:

Given:

Length of rectangle = 2x-9

Width of rectangle = x+5

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$Area\,\,of\,\,rectangle=Length*Width\\Area\,\,of\,\,rectangle=(2x-9)(x+5)\\Area\,\,of\,\,rectangle=2x(x+5)-9(x+5)\\Area\,\,of\,\,rectangle=2x^2+10x-9x-45\\Area\,\,of\,\,rectangle=2x^2+x-45$

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Keywords: Area of rectangle

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