MATH SOLVE

4 months ago

Q:
# WXYZ is an isosceles trapezoid with legs WX and YZ and a base XY. If the length of WX is 6x+5, the length of XY is 10x+4 and the length of YZ is 8x-3, find the value of x

Accepted Solution

A:

Solution:As per the problem we haveWXYZ is an isosceles trapezoid with legs WX and YZ and a base XY. The length of WX is 6x+5, the length of XY is 10x+4 and the length of YZ is 8x-3.The diagram representing the above given data has been attached.Since WXYZ is an isosceles trapezoid with legs WX and YZ.So we can write [tex] wx=yz\\

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\Rightarrow 6x+5=8x-3\\

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\text{Take the like terms together we get}\\

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\Rightarrow8x-6x=5+3\\

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\text{Simplify we get}\\

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\Rightarrow2x=8\\

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\Rightarrow x=4 [/tex]Hence we get x=4

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\Rightarrow 6x+5=8x-3\\

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\text{Take the like terms together we get}\\

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\Rightarrow8x-6x=5+3\\

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\text{Simplify we get}\\

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\Rightarrow2x=8\\

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\Rightarrow x=4 [/tex]Hence we get x=4