Question

ac = 22, bc = x + 14, and ab = x + 10. find x. -1 -4 7 2

Explanation:

Step1: Assume collinear points A,B,C

We infer that points are collinear with $AB + BC = AC$, a standard segment addition for this problem type.

Step2: Substitute given values

$$(x + 10) + (x + 14) = 22$$

Step3: Simplify left side

$$2x + 24 = 22$$

Step4: Isolate the variable term

$$2x = 22 - 24$$
$$2x = -2$$

Step5: Solve for x

$$x = \frac{-2}{2}$$

Answer:

-1