Question

The picture is not drawn to scale.Find the value of xxx if D=157, A=24, B=2x+11D=157,\ A=24,\ B=2x+11D=157, A=24, B=2x+11 .x=x=x=

Answer 1

D=157 A=24 and B=2x+11 you need to find out what x is it needs to all add up to 157

Answer 2

wrong

Answer 3

To find the value of \( x \), we have the following equations:

1. \( D = 157 \)
2. \( A = 24 \)
3. \( B = 2x + 11 \)

Since the problem suggests \( D \), \( A \), and \( B \) might be related in some way, it appears we can equate \( B \) with \( D \) or use the values we have.

Since \( B = 2x + 11 \) and we know \( D = 157 \), we can set up the equation:

\[
B = D
\]

Substituting the value of \( D \):

\[
2x + 11 = 157
\]

Now, we can solve for \( x \):

1. Subtract 11 from both sides:
\[
2x = 157 - 11
\]
\[
2x = 146
\]

2. Divide both sides by 2:
\[
x = \frac{146}{2}
\]
\[
x = 73
\]

Thus, the value of \( x \) is \( 73 \).

Answer 4

Given the situation you described, where \( D = 157 \), \( A = 24 \), and \( B = 2x + 11 \), and the requirement that they all add up to 157, we can set up the following equation:

\[
A + B + D = 157
\]

Substituting in the known values:

\[
24 + (2x + 11) + 157 = 157
\]

Now let's simplify the equation:

1. Combine the constant terms on the left side:

\[
24 + 11 + 157 = 192
\]

Therefore, we can rewrite the equation:

\[
192 + 2x = 157
\]

2. To isolate \( 2x \), subtract 192 from both sides:

\[
2x = 157 - 192
\]
\[
2x = -35
\]

3. Divide both sides by 2 to find \( x \):

\[
x = \frac{-35}{2}
\]
\[
x = -17.5
\]

Thus, the value of \( x \) is \( -17.5 \).

Answer 5

I apologize for any confusion. Let's clarify and solve the problem step-by-step.

You want \( A + B + D = 157 \) where:

- \( D = 157 \)
- \( A = 24 \)
- \( B = 2x + 11 \)

If we combine these, we can write the equation:

\[
A + B + D = 157
\]

Substituting the known values:

\[
24 + (2x + 11) + 157 = 157
\]

However, as \( D = 157 \), we shouldn't include \( D \) in addition:

The relationship should actually be:

\[
A + B = D
\]

So, we set up the equation:

\[
24 + (2x + 11) = 157
\]

Now, simplify it:

1. Combine the constant values on the left:

\[
24 + 11 = 35
\]

So, we have:

\[
35 + 2x = 157
\]

2. Subtract 35 from both sides to isolate \( 2x \):

\[
2x = 157 - 35
\]
\[
2x = 122
\]

3. Now divide by 2 to find \( x \):

\[
x = \frac{122}{2}
\]
\[
x = 61
\]

So, the correct value of \( x \) is **61**. Thank you for your patience!