Question

If SF = 5x + 2, SK = 27, and KF = 3x - 1, find KF.

Answer 1

Answer:

KF = 35

Step-by-step explanation:

Since it's a line with K in the middle, we know that the distance SF is the same as SK + KF.

(Start at S, first go to K, then continue to F. You've traveled the same distance as from S to F.)

SF = SK + KF

Let's put in the values we got.

5x + 2 = 27 + (3x -1)

Opening the parenthesis.

5x + 2 = 27 + 3x - 1

5x + 2 = 26 + 3x

Now let's subtract 3x from both sides.

2x + 2 = 26

Now, subtract 2 from both sides.

2x = 24

If we divide by 2...

x = 12

We know that...

KF = 3x -1

Since x is 12, let's put that in.

KF = 3 * 12 - 1 = 36 - 1 = 35

Answer: KF is 35 !