Question

16 part 1 the shapes are similar but not in the same position. create a proportion to solve for x: 21 12 3 4 x 84 91 28 proportion - \\( \frac { 3 } { 21 } = \frac { x } { 91 } \\) part 2 find the measure of x: x = 13

Explanation:

Step1: Cross - multiply the proportion

Given the proportion \(\frac{3}{21}=\frac{x}{91}\), cross - multiplying gives \(3\times91 = 21\times x\).

Step2: Simplify the equation

\(3\times91=273\), so the equation becomes \(273 = 21x\).

Step3: Solve for \(x\)

Divide both sides of the equation \(273 = 21x\) by \(21\). We have \(x=\frac{273}{21}\).
Since \(273\div21 = 13\).

Answer:

\(x = 13\)