Question

1. if uw = 6x - 35, find uw.

u ---- v (19) ---- w (4x - 20)

Explanation:

Step1: Determine UW formula

From the number line, \( UW = UV + VW \). So \( 6x - 35 = 19 + (4x - 20) \).

Step2: Solve for x

Simplify the equation: \( 6x - 35 = 4x - 1 \). Subtract \( 4x \): \( 2x - 35 = -1 \). Add 35: \( 2x = 34 \). Divide by 2: \( x = 17 \).

Step3: Calculate UW

Substitute \( x = 17 \) into \( UW = 6x - 35 \): \( 6(17) - 35 = 102 - 35 = 67 \).

Answer:

67