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write the following as an algebraic expression. then simplify. the peri…

Question

write the following as an algebraic expression. then simplify. the perimeter of the isosceles triangle with base length z - 13 and legs of length z. the answer is (simplify your answer)

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a triangle is the sum of the lengths of its sides. For an isosceles triangle with two equal - length legs of length $z$ and a base of length $z - 13$, the formula is $P=z + z+(z - 13)$.

Step2: Combine like - terms

$P=(z + z+z)-13$.
Since $z + z+z = 3z$, the simplified expression is $P = 3z-13$.

Answer:

$3z - 13$