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Paladinen [302]
4 years ago
7

Can you help you guy for this question please

Mathematics
2 answers:
Anestetic [448]4 years ago
8 0

Answer:

13

Step-by-step explanation:

Triangles WZX and WZY are congruent

So,

WX = WY

5n - 2 = 2n + 7

3n = 9

n = 3

WY = 2(3) + 7

6 + 7

13

Rudiy274 years ago
7 0
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

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So, the bottom two tangents are 98 and 98, the right-side are both 22 and 22, the top are both 27 and 27, and the left are 22 and 22. We need to find the perimeter, or the sum of all the sides of the polygon. Seeing as the sides of the polygon are formed by all the tangent lines, we just have to find the sum of all the tangent lines.

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