Question

4 fill in the blank 0.75 points 3x + 2 4x - 7 2x + 5 list the side lengths of the triangle from least to greatest. 13 17 type your answer

Explanation:

Step1: Find the value of \(x\)

Since the two sides \(3x + 2\) and \(4x-7\) are equal (marked with the same tick), we set up the equation \(3x + 2=4x - 7\).
Subtract \(3x\) from both sides: \(2=x - 7\).
Add \(7\) to both sides: \(x=9\).

Step2: Calculate the lengths of each side

For \(3x + 2\): Substitute \(x = 9\), we get \(3\times9+2=27 + 2=29\).
For \(4x-7\): Substitute \(x = 9\), we get \(4\times9-7=36 - 7=29\).
For \(2x + 5\): Substitute \(x = 9\), we get \(2\times9+5=18 + 5=23\).

Answer:

\(23\), \(29\), \(29\)