Question

solve for x.
30
8x - 4
30
28
x = ?

Explanation:

Step1: Set up equality of slopes

Since the transversals create proportional segments on the parallel lines, we equate the ratios:
$\frac{8x-4}{28} = \frac{30}{30}$

Step2: Simplify the right-hand side

The ratio $\frac{30}{30}$ simplifies to 1:
$\frac{8x-4}{28} = 1$

Step3: Isolate the linear term

Multiply both sides by 28 to eliminate the denominator:
$8x-4 = 28$

Step4: Solve for x

Add 4 to both sides, then divide by 8:
$8x = 32$
$x = \frac{32}{8} = 4$

Answer:

$x=4$