Question

If n is parallel to m find the value of x and the value of y?

Answer 1

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:

$\frac{15}{12} =\frac{y}{4}$

If you clear the function to get the value of X it´ll look like this:

$y=\frac{15*4}{12}$

$y=\frac{60}{12}$

$y=5$

Now that we have calculated the length of Y we can calculate the length of X

Since $x+y=15$

Then

$x=15-y$

$x=15-5$

$x=10$

So the value of X would be 10.

Answer 2

C is the correct answer



good luck