Question

A trapezoid KRWT with midsegment bar (NH) is shown where KR = 4x + 12.9, NH = 7x + 9.7, and TW = 8x + 15.5. What is the length of TW? Round your answer to the nearest tenth.

Answer 1

Explanation:

Therefore, the length TW is 5.15 units when rounded to the nearest tenth.

hope this helps u in the upcoming future :)

Answer 2

In the trapezoid KRWT, we know that the length of the midsegment bar NH is equal to the average of the lengths of the two parallel sides KR and TW.

So, NH = (KR + TW)/2

Substituting the given values, we get:

7x + 9.7 = (4x + 12.9 + 8x + 15.5)/2

Simplifying this equation, we get:

7x + 9.7 = 6x + 14.2

x = 4.5

Now that we know the value of x, we can find the length of TW:

TW = 8x + 15.5

TW = 8(4.5) + 15.5

TW = 48.5

Therefore, the length of TW is 48.5 units (rounded to the nearest tenth).

Hope this helps! (: