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zepelin [54]
3 years ago
12

What is the value of x? (x + 40) (3x) O 20 R O O 35 O O ASAP

Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0

Angles TRS and VRW are vertical angles, so we can set them equal to each other to get x:

x+40=3x

40=2x

20=x

So the value of x is 20

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The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula

A=\left(\dfrac{b_1+b_2}{2}\right)h

If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:

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