Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for the value of z. (7z+7)° (9z-7)°

Question

solve for the value of z. (7z+7)° (9z-7)°

Explanation:

Step1: 对顶角相等,列方程

因为对顶角相等,所以\(7z + 7 = 9z - 7\)

Step2: 移项求解

移项可得:\(7 + 7 = 9z - 7z\),即\(14 = 2z\)

Step3: 计算z的值

两边同时除以2,\(z = \frac{14}{2} = 7\)

Answer:

\(z = 7\)