Question

Find x if AC = 22, AB = x + 22, and BC = x + 20.

Answer 1

Explanation:

We are given that AC = 22, AB = x + 22 and BC = x + 20, and we are trying to find the value of x.

Since we know that AB + BC = AC, we can use this equation to solve for x.

x + 22 + (x + 20) = 22

Simplifying the equation, we get

2x + 42 = 22

Subtracting 42 from both sides,

2x = -20

and finally,

x = -10

So the value of x is -10

We can check the solution by substituting x = -10 back into the original equation and see if they are true:

AB = x + 22 = -10 + 22 = 12

BC = x + 20 = -10 + 20 = 10

AB + BC = 12 + 10 = 22

So all the equation are true, therefore x = -10