Question

multiple choice 1 point the two triangles are similar. write a proportion to solve. solve for x in the following figure. 22 ft. 4x + 1 18 ft. 7.5 ft. 2.042 2.278 1.284 1.523

Explanation:

Step1: Set up similarity proportion

$\frac{22}{4x+1} = \frac{18}{7.5}$

Step2: Cross-multiply to eliminate fractions

$22 \times 7.5 = 18(4x+1)$

Step3: Calculate both sides

$165 = 72x + 18$

Step4: Isolate the term with x

$72x = 165 - 18$
$72x = 147$

Step5: Solve for x

$x = \frac{147}{72}$

Answer:

2.042