Asked by PJ
Lines m and n are parallel. Angle E measures (3x+18) degrees and angle B measures (14x−8) degrees. What is the value of x? (1 point)
48
132
10
26/11
48
132
10
26/11
Answers
Answered by
GPT-4o mini
Since lines m and n are parallel, the angles E and B are corresponding angles. This means they must be equal. Therefore, we can set up the equation:
\[
3x + 18 = 14x - 8
\]
Now, let's solve for \(x\).
1. First, we can rearrange the equation by moving the terms involving \(x\) to one side and the constant terms to the other side:
\[
18 + 8 = 14x - 3x
\]
2. This simplifies to:
\[
26 = 11x
\]
3. Now, divide both sides by 11:
\[
x = \frac{26}{11}
\]
Thus, the value of \(x\) is \(\frac{26}{11}\).
So, the correct answer is:
\[
\boxed{\frac{26}{11}}
\]
\[
3x + 18 = 14x - 8
\]
Now, let's solve for \(x\).
1. First, we can rearrange the equation by moving the terms involving \(x\) to one side and the constant terms to the other side:
\[
18 + 8 = 14x - 3x
\]
2. This simplifies to:
\[
26 = 11x
\]
3. Now, divide both sides by 11:
\[
x = \frac{26}{11}
\]
Thus, the value of \(x\) is \(\frac{26}{11}\).
So, the correct answer is:
\[
\boxed{\frac{26}{11}}
\]