Question

7 for the rhombus, find the value of x. (7x - 17)° (5x + 9)° 7x - 17 = 5x + 9 x =

Explanation:

Step1: Start with the equation

We have the equation \(7x - 17 = 5x + 9\) from the properties of a rhombus (the diagonal bisects the angles, so these two angles are equal).

Step2: Subtract \(5x\) from both sides

\(7x - 5x - 17 = 5x - 5x + 9\), which simplifies to \(2x - 17 = 9\).

Step3: Add 17 to both sides

\(2x - 17 + 17 = 9 + 17\), so \(2x = 26\).

Step4: Divide by 2

\(\frac{2x}{2}=\frac{26}{2}\), which gives \(x = 13\).

Answer:

13