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Simora [160]
3 years ago
5

If ED = 5y + 6 and DB = y + 30, find the value of y. Then find ED, DB, and EB.

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

Part 1) The value of y=6

Part 2) ED=36, DB=36 and EB=72

Step-by-step explanation:

In this problem we know that

ED=DB -----> equation A

EB=ED+DB -----> equation B

The point D is the midpoint ED

see the attached figure to better understand the problem

step 1

Find the value of y

Substitute the given values in the equation A

5y+6=y+30

solve for y

5y-y=30-6

4y=24

y=6

step 2

Find the value of ED,DB and EB

ED=5y+6

substitute the value of y

ED=5(6)+6=36

Remember that

ED=DB

therefore

DB=36

Find the value of EB

EB=ED+DB

EB=36+36=72

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