Question

4 numeric 2 points find the value of x. provide just the number. round to two decimal places. answer

Explanation:

Step1: Use the property of similar right - angled triangles

Since the two right - angled triangles are similar (the sum of the non - right angles in each triangle gives a relationship where the triangles have equal corresponding angles), we can use the proportion of their sides. The proportion is \(\frac{12}{7}=\frac{x}{4}\).

Step2: Solve the proportion for \(x\)

Cross - multiply the proportion \(12\times4 = 7x\). Then \(x=\frac{12\times4}{7}\).
Calculate \(12\times4=48\), so \(x = \frac{48}{7}\approx6.86\)

Answer:

\(6.86\)