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sasho [114]
3 years ago
9

In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15. What is the length of line segment EB?

Mathematics
2 answers:
Artist 52 [7]3 years ago
7 0
<span>DE = EB

DE = p + 15

I would help you farther but I don't know what p equals. If you know then add that number with 15 and you have your answer.</span><span />
hichkok12 [17]3 years ago
6 0

The first thing we must do is find the value of p.

For this, we use the following equality:

AE = EC

Substituting values we have:

p - 8 = 2p - 58

Clearing the value of p we have:

2p - p = 58 - 8\\p = 50

Then, we look for the length of EB.

We know that:

EB = DE

Substituting values we have:

EB = p + 15\\EB = 50 + 15\\EB = 65

Answer:

the length of line segment EB is:

65 units

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