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A triangle has side lengths of (n+9p) centimeters, (6n-8q) centimeters, and (2q-4p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle? 9nq-3pq 7n-12 q+11 p 5p+7n-6q -2pq+10 np-2nq

A triangle has side lengths of (n+9p) (n+9 p) centimeters, (6n−8q) (6 n-8 q) centimeters, and (2q−4p) (2 q-4 p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?\newline9nq−3pq 9 n q-3 p q \newline7n−12q+11p 7 n-12 q+11 p \newline5p+7n−6q 5 p+7 n-6 q \newline−2pq+10np−2nq -2 p q+10 n p-2 n q

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Q. A triangle has side lengths of (n+9p) (n+9 p) centimeters, (6n−8q) (6 n-8 q) centimeters, and (2q−4p) (2 q-4 p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?\newline9nq−3pq 9 n q-3 p q \newline7n−12q+11p 7 n-12 q+11 p \newline5p+7n−6q 5 p+7 n-6 q \newline−2pq+10np−2nq -2 p q+10 n p-2 n q
  1. Identify Formula: : Identify the formula for the perimeter of a triangle.\newlineThe perimeter of a triangle is the sum of the lengths of its sides, represented as P=a+b+cP = a + b + c, where PP is the perimeter, and aa, bb, and cc are the lengths of the sides of the triangle.
  2. Add Expressions: : Add the expressions for the side lengths to find the perimeter.\newlinePerimeter = n+9pn+9p + 6n−8q6n-8q + 2q−4p2q-4p
  3. Combine Like Terms: : Combine like terms in the expression.\newlinePerimeter = n+6n+9p−4p−8q+2qn + 6n + 9p - 4p - 8q + 2q\newlinePerimeter = 7n+5p−6q7n + 5p - 6q
  4. Check Answer Choices: : Check the answer choices to see which one matches the calculated perimeter.\newlineThe correct expression for the perimeter is 7n+5p−6q7n + 5p - 6q.

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