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Tom [10]
3 years ago
6

I need help solving this question

Mathematics
1 answer:
mina [271]3 years ago
3 0

Option B:

The value of x is -\frac{11}{2}.

Solution:

JKLM is an isosceles trapezoid.

JK and LM are legs which are congruent sides and KL is the base.

JK = 8x - 9, KL = 7x + 10 and LM = 10x + 2

By the definition of isosceles trapezoid:

⇒ JK = LM

\Rightarrow 8x-9=10x+2

Add 9 both sides.

\Rightarrow 8x-9+9=10x+2+9

\Rightarrow 8x=10x+11

Subtract 10x from both sides.

\Rightarrow 8x-10x=10x+11-10x

\Rightarrow -2x=11

Divide by -2 on both sides.

$\Rightarrow \frac{ -2x}{-2} =\frac{11}{-2}

$\Rightarrow x = -\frac{11}{2}

The value of x is -\frac{11}{2}.

Option B is the correct answer.

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