So from the diagram,w e know that sides XW and WY.
This is proven through the congruence test of RHS, where there is a right angle included, a hypotenuse included and one side that is equal , which is the exact information given in the diagram, you just have to figure out the side part.
So, now that we know the two sides are equal to each other, we out it into an equation.
Our equation is side XW equals to side WY
in number form , this would be 5n-2 = 2n+7
We move the negative two to the other side as a positive number
5n = 2n+7+2
5n = 2n+9
We move the positive 2n to the other side as a negative number
5n-2n= 9
3n=9
We divide both sides by three to get the value of n
9/3 is 3.
Therefore , n is equal to three.
But, we aren't done yet because the question wants us to find the value of the side WY
We just substitute the value of n that we just found into the formula for side WY (which is 2n+7)
So, we do 2(3)+7
Which is equal to 13.
Therefore, side WY is equal to 13