Questions: Solve for x. A) 8 B) 9 C) -9 D) -8

Solve for x. A) 8 B) 9 C) -9 D) -8
Transcript text: Solve for $x$. A) 8 B) 9 C) -9 D) -8
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Solution

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Solution Steps

Step 1: Set up the equation

Since BC and ST are parallel, the segments they create are proportional. Therefore, we can set up the following proportion:

(x+19)/(x+29) = RB/RS = CT/ST

Since BC=CT, we know that RB/RS = CT/ST = 1/2. This simplifies our proportion to:

(x+19)/(x+29) = 1/2
Step 2: Solve for x

Cross-multiply to eliminate the fractions:

2(x+19) = x+29

Distribute the 2 on the left side:

2x + 38 = x + 29

Subtract x from both sides:

x + 38 = 29

Subtract 38 from both sides:

x = 29 - 38

x = -9

Final Answer: The final answer is $\boxed{C}$

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