6) The perimeter of a triangle is 95 cm. The sides of the triangle are labeled 1, 2, and 3. The 2nd side is four less than three times the length of the 1st side. The 3rd side is five more than the length of the 1st side. Let n = the length of the 1st side in centimeters a) Write an expression that represents the length of the 2nd side. Express your answer in terms of n. Do not introduce another variable. b) Write an expression that represents the length of the 3rd side. Express your answer in terms of n. Do not introduce another variable.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem 6**

The perimeter of a triangle is 95 cm. The sides of the triangle are labeled 1, 2, and 3. The 2nd side is four less than three times the length of the 1st side. The 3rd side is five more than the length of the 1st side.

*Let \( n \) = the length of the 1st side in centimeters*

**a)** Write an expression that represents the length of the 2nd side. Express your answer in terms of \( n \). *Do not introduce another variable.*

________________________________________________________________________________________

**b)** Write an expression that represents the length of the 3rd side. Express your answer in terms of \( n \). *Do not introduce another variable.*

________________________________________________________________________________________

**c)** Write and solve an equation to find the length of the 1st side.

________________________________________________________________________________________
Transcribed Image Text:**Problem 6** The perimeter of a triangle is 95 cm. The sides of the triangle are labeled 1, 2, and 3. The 2nd side is four less than three times the length of the 1st side. The 3rd side is five more than the length of the 1st side. *Let \( n \) = the length of the 1st side in centimeters* **a)** Write an expression that represents the length of the 2nd side. Express your answer in terms of \( n \). *Do not introduce another variable.* ________________________________________________________________________________________ **b)** Write an expression that represents the length of the 3rd side. Express your answer in terms of \( n \). *Do not introduce another variable.* ________________________________________________________________________________________ **c)** Write and solve an equation to find the length of the 1st side. ________________________________________________________________________________________
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