Answered

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Given is a parallelogram ABCD. Verify each measure is correct. AE = 10EC = 10 DE = 10EB = 10

Given Is A Parallelogram ABCD Verify Each Measure Is Correct AE 10EC 10 DE 10EB 10 class=

Sagot :

AE = 10 and EC = 10

1) Let's find out the measure of each section of those diagonals. Since in a parallelogram their diagonals are bisected. So we can write:

2y = y+5 Subtract y from both sides

2y -y = 5

y= 5

x+1 = 3x -13

x-3x = -13 -1

-2x =-14

2x = 14

x = 7

2) As we now know the measure of each half of those diagonals we can write:

AE = 2y

AE = 2(5)

AE = 10

EC = y+5,

EC =10

DE = x +1

DE = 8

EB = 3(7) -13 = 8

3) Hence, the correct measures are AE = 10 and EC = 10

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