Question

question 5 (1 point)
solve for x.

x =
blank 1:

question 6 (1 point)

x =
blank 1:

Explanation:

Question 5

Step1: Identify angle - relationship

Assume the angles are corresponding or alternate - interior (since parallel lines are likely assumed from the context of the problem), so \(6x + 38=45\).

Step2: Solve the equation for \(x\)

Subtract 38 from both sides: \(6x=45 - 38\), so \(6x = 7\). Then \(x=\frac{7}{6}\).

Step1: Identify angle - relationship

Assume the angles are vertical angles (since they are opposite each other at the intersection of two lines), so \(5x=3x + 28\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides: \(5x-3x=28\), so \(2x = 28\). Then divide both sides by 2, \(x = 14\).

Answer:

\(\frac{7}{6}\)

Question 6