Answer:
x=7.7 units
y=11.1 units
Step-by-step explanation:
This problem uses ratios of similar triangles to find the missing sides of the triangle. You need to compare similar sides of the triangle to find the missing sides.
[tex]\frac{18}{28} =\frac{x}{12}[/tex]
[tex](18)(12)=28x[/tex]
[tex]216=28x[/tex]
[tex]216/28=28x/28[/tex]
[tex]7.7=x[/tex]
Therefore x=7.7 units
Next, we need to solve for Y.
[tex]\frac{18}{28} =\frac{20}{y+20}[/tex]
[tex]18(y+20)=(28)(20)[/tex]
[tex]18y+360=560[/tex]
[tex]18y+360-360=560-360[/tex]
[tex]18y=200[/tex]
[tex]18y/18=200/18[/tex]
[tex]y=11.1[/tex]
Therefore y=11.1 units
