Answer:
B. x=26.4, y=17
Step-by-step explanation:
Taking the two triangles to be similar, you can apply the formula for ratio of sides.The ratio of two corresponding sides is the same.
In this question ;
The side with length 22 corresponds to that with length 10
The side with length 37.4 corresponds to that with length y
Hence
[tex]\frac{22}{10} =\frac{37.4}{y}[/tex]
cross-multiply
[tex]22y=37.4*10\\\\\\22y=374\\\\\\y=\frac{374}{22} =17[/tex]
The side with length 12 corresponds to that with legth x
Apply the same formula for ratio of corresponding sides
[tex]\frac{22}{10} =\frac{x}{12}[/tex]
Cross-multiply
[tex]22*12=10*x\\\\\\264=10x\\\\\\\frac{264}{10} =x\\\\\\x=26.4[/tex]
