Please answer. In parallelogram WXYZ, diagonals WY and XZ intersect at point A. Give WA=x^2-48 and AY=x^2-6x. What is WY? Show y

Question

3 years ago

8

our work

1 answer:

netineya [11] · Answer 1 · 2022-11-23T12:20:17+03:00

The diagonals of a parallelogram are congruent

The length WY is 32

<h3>How to determine the length WY</h3>

Given that:

$WA = x^2 - 48$ and

$AY = x^2 - 6x$

Then, we have:

$x^2 - 48 = x^2 - 6x$ diagonal

Subtract x^2 from both sides

$- 48 =- 6x$

Divide both sides by -6

$x = 8$

The length WY is calculated as:

$WY=2 * WA$

So, we have:

$WY=2 * [x^2 - 48]$

Substitute 8 for x

$WY=2 * [8^2 - 48]$

Simplify

$WY=32$

Hence, the length WY is 32