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In the polygon below, if diagonal AD = 7x - 5, and diagonal CB = 5x - 2, find x.

In the polygon below, if diagonal AD = 7x - 5, and diagonal CB = 5x - 2, find x.-example-1
User MCKapur
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1 Answer

12 votes
12 votes

Given:

AD = 7x - 5

CB = 5x - 2

We are asked to find x.

recall, in polygon, diagonal are equal.

Since AD and CB are diagonals, therefore they are equal.

So,

AD = CB

7x - 5 = 5x - 2

let's collect like terms:

7x - 5x = 5 - 2

carry out both the addition and subtraction operations:

2x = 3

Divide both sides by 2

2x/2 = 3/2

x = 3/2

Therefore, the correct option is D, which is 3/2.

User Ddotsenko
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