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HELP PLEASEEEEEEEEEEEEEEEEEE

XZ=n, WZ=2n-5, and the perimeter of triangle XWZ is 20. What is the value of n?


ANSWERS
3,5,7,6

HELP PLEASEEEEEEEEEEEEEEEEEE XZ=n, WZ=2n-5, and the perimeter of triangle XWZ is 20. What-example-1

2 Answers

5 votes
The answer you seek is 5. Enjoy
User Settapon H
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2 votes

Answer: The value of 'n' is 6.

Step-by-step explanation: Given that ΔXWZ is an isosceles triangle, where XZ = n, WZ = 2n - 5, and the perimeter of the triangle is 20 units.

We are to find the value of 'n'.

As given in the figure, in ΔXWZ,

WX = WZ.

So, WX = 2n - 5.

We know that the perimeter of a triangle is equal to the sum of its three sides, so the perimeter of ΔXWZ is given by


P=XZ+WX+WZ=n+(2n-5)+(2n-5)=5n-10.

According to the question, we have


P=20\\\\\Rightarrow 5n-10=20\\\\\Rightarrow 5n=30\\\\\Rightarrow n = 6.

Thus, the value of 'n' is 6.

User Alex Newman
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7.6k points