Answer:
C.y=5, x=10
Step-by-step explanation:
In this case when you have a triangle that is being cut by paralell lines you can use the Triangle Proportionality Theorem, which states that a triangle that is cut by a parallel line to any side the resultant sides would be proportional to those of the original triangle.
So you equation would be like this:
[tex]\frac{15}{12} =\frac{y}{4}[/tex]
If you clear the function to get the value of X it´ll look like this:
[tex]y=\frac{15*4}{12}[/tex]
[tex]y=\frac{60}{12}[/tex]
[tex]y=5[/tex]
Now that we have calculated the length of Y we can calculate the length of X
Since [tex]x+y=15[/tex]
Then
[tex]x=15-y[/tex]
[tex]x=15-5[/tex]
[tex]x=10[/tex]
So the value of X would be 10.
