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.
2 answers:
WX and ZY make up the legs, as illustrated in the diagram.
Since it is an isosceles trapezoid, the legs are congruent; that means
6<em>x</em> + 5 = 8<em>x</em> - 3
When solving this equation, we do not want a variable on both sides. We will cancel the 6<em>x</em> to avoid negatives:
6<em>x</em> + 5 - 6<em>x</em> = 8<em>x</em> - 3 - 6<em>x</em>
5 = 8<em>x</em> - 3 - 6<em>x</em>
Combine like terms:
5 = 2<em>x</em> - 3
Cancel the 3 by adding:
5 + 3 = 2<em /><em>x</em> - 3 + 3
8 = 2<em>x</em>
Cancel the 2 by dividing:
8/2 = 2<em>x</em>/2
4 = <em>x</em><em />
Since it is an isosceles trapezoid, the legs are congruent; that means
6<em>x</em> + 5 = 8<em>x</em> - 3
When solving this equation, we do not want a variable on both sides. We will cancel the 6<em>x</em> to avoid negatives:
6<em>x</em> + 5 - 6<em>x</em> = 8<em>x</em> - 3 - 6<em>x</em>
5 = 8<em>x</em> - 3 - 6<em>x</em>
Combine like terms:
5 = 2<em>x</em> - 3
Cancel the 3 by adding:
5 + 3 = 2<em /><em>x</em> - 3 + 3
8 = 2<em>x</em>
Cancel the 2 by dividing:
8/2 = 2<em>x</em>/2
4 = <em>x</em><em />
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