Question

The picture is not drawn to scale. Find the value of 𝑥xx if 𝐷=137, 𝐴=28, 𝐵=8𝑥+10D=137,\ A=28,\ B=8x+10D=137, A=28, B=8x+10 .

Answer 1

To find the value of \( x \), we start with the expressions and equations provided:

1. \( D = 137 \)
2. \( A = 28 \)
3. \( B = 8x + 10 \)
4. The equation involving \( B \) and \( D \) is \( B = 10D \).

Now, substituting the value of \( D \) into the equation for \( B \):

\[
B = 10D = 10 \times 137 = 1370.
\]

Next, we can set this equal to the expression for \( B \) in terms of \( x \):

\[
8x + 10 = 1370.
\]

Now, we solve for \( x \):

1. Subtract \( 10 \) from both sides:

\[
8x = 1370 - 10 = 1360.
\]

2. Divide both sides by \( 8 \):

\[
x = \frac{1360}{8} = 170.
\]

Thus, the value of \( x \) is:

\[
\boxed{170}.
\]