Question

What is the value of x?

Answer 1

Answer:

x = 28

Step-by-step explanation:

Triangle ABP and triangle CDR are similar.  Thus, we can solve this problem for x using an equation of proportions:

hypotenuse     leg length

    15+42               10+x

----------------     =   ----------

       42                     x

Then (15+42)x  =  42(10+x) after cross multiplication

      57x            =  420 + 42x

Subtracting 42x from both sides, we get

      15x             =    420.

Dividing both sides by 15 results in

        x               =   28