Math Problem Statement

X value?

Solution

To help you find the value of xx, I need to extract and analyze the information from the image you provided. Let me take a closer look at it first.The image you provided contains a geometry problem involving a line segment. The problem shows a line segment ABAB with AA at one end and BB at the other end. The entire length of ABAB is labeled as 20 units. The segment is divided into two parts: ACAC and CBCB, with AC=2xAC = 2x and CB=x+4CB = x + 4.

To find xx, we can use the equation:

AC+CB=ABAC + CB = AB

Substituting the values, we get:

2x+(x+4)=202x + (x + 4) = 20

Now, let's solve for xx:

2x+x+4=202x + x + 4 = 20

3x+4=203x + 4 = 20

Subtract 4 from both sides:

3x=163x = 16

Finally, divide by 3:

x=1635.33x = \frac{16}{3} \approx 5.33

So, the value of xx is approximately 5.335.33 units.

Would you like further details, or do you have any other questions?

Here are some related questions you might consider:

  1. How would the value of xx change if CBCB was x+5x + 5 instead of x+4x + 4?
  2. What would be the length of ACAC and CBCB after finding xx?
  3. How can we verify the solution by substituting xx back into the original lengths?
  4. How does this problem change if the total length ABAB is doubled?
  5. What type of mathematical concepts are being applied in this problem (e.g., linear equations)?

Tip: When solving equations involving variables on both sides, always simplify and combine like terms first to make solving easier.

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Math Problem Analysis

Mathematical Concepts

Geometry
Linear Equations

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9