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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=

5 answers

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 \( 73 \).

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

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:

\[ 192 + 2x = 157 \]

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

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

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

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

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

wrong

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:

\[ 35 + 2x = 157 \]

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

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

  1. 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!