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3 years ago

I need math help please A. 24 B. 16 C. 8 D. 4

Mathematics

2 answers:

Alexxx [7]3 years ago

7 0

Answer:

Correct answer is B. 16

Step-by-step explanation:

In a parallelogram, the diiagonals cut each other into two equal parts,

which means AE = CE

Given AE = x∧2 - 8 and CE = 2x

AE = CE => x∧2 -8 = 2x => x∧2 -2x -8 = 0

this is qudratic equation and we will factorize it and solve it:

x∧2 -4x + 2x -8 = (x∧2 - 4x) + (2x - 8) = x(x-4) + 2(x-4) = (x-4) · (x+2) = 0

x-4 = 0 and x+2 = 0 => x=4 and x= -2

We will accept first solution (because it is positive) x = 4

AE = CE = 2x = 2 · 4 = 8 or AE = CE = x∧2 - 8 = 4∧2 - 8 = 16 - 8 = 8

AC = AE + CE = 8 + 8 = 16 => AC = 16

God with you!!!

qaws [65]3 years ago

5 0

Answer:

The answer is a

Step-by-step explanation:

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Eddi Din [679]

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Step-by-step explanation:

Given data

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solution

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