Evaluate.
2 answers:
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Answer:
I'm answering the second question.
Step-by-step explanation:
For this trapezoid, we need to find the length of the missing side.
We can draw a line right where the 29 mi side ends to the 81 mi side.
Now, we know the side made from the line opposite to the 29 mi side has a length of 29 mi.
We also know that the line we drew has a length of 17 mi.
Now, the line we drew split the 81 mi line into two segments. We already know that one of the segments has a length of 29 mi. Now we subtract to get the length of the other segment. (52 mi)
Great! Now we have all the information we need in order to get the length of the missing side. (Because we have figured out the lengths of two sides of a triangle that was created by the line we drew.)
(We know that the line we drew is perpendicular to the 81 mi line)
Now using the sides with the lengths of 17 and 52 mi and the Pythagorean theorem, we shall find the missing length.
Pythagorean Theorem: a^2+b^2=c^2 (We have a and b)
17^2+52^2=, which is about 54.7 (54.7 is missing length)
Now add up 54.7, 29, and 81 to get your answer!
Hope it helped!