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2 years ago

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

Mathematics

1 answer:

Gemiola [76]2 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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