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For the diagram below, calculate the value of x. Show your work.

For the diagram below, calculate the value of x. Show your work.-example-1
User ConFusl
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1 Answer

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the value of x in the diagram is 6.

From the diagram, we can see that two sides of a triangle are labeled:

Side BD: 9x - 35

Side AC: 2x + 7

We are also given that these two sides are equal in length. Therefore, we can write the following equation:

9x - 35 = 2x + 7

Step 2: Solve the linear equation

We can solve the equation for x using simple algebraic operations. Here's how we do it:

Add 35 to both sides:

9x = 2x + 42

Subtract 2x from both sides:

7x = 42

Divide both sides by 7:

x = 6

Therefore, the value of x in the diagram is 6.

User Aeldron
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