Question

In the figure below, KLMN is a rhombus.
If KN=2x-1 and KL=8x-7, find the value of x.

Answer 1

Answer:

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Step-by-step explanation:

Since KLMN is a rhombus, opposite sides are equal in length.

So, KN = KL.

We have:

\[ KN = KL \]

\[ 2x - 1 = 8x - 7 \]

Solving for x:

\[ 2x - 1 = 8x - 7 \]

\[ 7 - 1 = 8x - 2x \]

\[ 6 = 6x \]

\[ x = 1 \]

So, the value of x is 1.