Question

Given CS = 3, SB = 6, CR = 4, and RA = x. What must the value of x be in order to prove SR || BA? Justify your answer.

Answer 1

To prove that SR || BA, we need to show that the corresponding angles are equal. Given the values of CS, SB, and CR, we can use the proportionality theorem to find the value of x.

Step-by-step explanation:

Given:

• CS = 3
• SB = 6
• CR = 4

We can use the proportionality theorem to find the value of x, which represents RA.

Using the proportionality theorem, we have:

SR/BA = CR/CS

x/6 = 4/3

Cross-multiplying gives:

3x = 24

x = 8

Therefore, the value of x must be 8 in order to prove SR || BA.

Learn more about Proving Parallel Lines

Answer 2

See below

Step-by-step explanation:

Since the triangles appear to be similar, let's set up a proportion and get what the value of x must be for the triangles to be similar.

CS/CR = CB/CA

3/4 = 9/c

3c = 36

CA equals 12

Now, if we subtract the value of CR, since AB + BC = AC, we will have the value of RA and the value x.

12 - 4 = 8

X must equal 8 for the triangles to be similar.

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