Question

HELP ASAP PLZ 39 POINTS Find x, y, u, v

Answer 1

Answer:

x = 9; y = 12; u = 24; v = 32

Step-by-step explanation:

The corresponding sides of similar triangles are in the same ratio to each other.

      3/5 = (3 + x)/20     Multiply each side by 20

20×3/5 = 3 + x

       12 = 3 + x             Subtract 3 from each side

        x = 9

=====

      4/5 = (4 + y)/20     Multiply each side by 20

20×4/5 = 4 + y

       16 = 4 + y              Subtract 4 from each side

        y = 12

=====

      3/5 = (3 + x + u)/60     Multiply each side by 60

60×3/5 = 3 + x + u

       36 = 3 + x + u             Insert the value of x

       36 = 3 + 9 + u

       36 = 12 + u                 Subtract 12 from each side

         u = 24

=====

      4/5 = (4 + y + v)/60     Multiply each side by 60

60×4/5 = 4 + y + v

       48 = 4 + y + v             Insert the value of y

       48 = 4 + 12 + v

       48 = 16 + v                 Subtract 16 from each side

         v = 32

x = 9; y = 12; u = 24; v = 32