Mathematics: If n ||m, find the value of x and the value of y. a. y = 3.75, x = 11.25 b. y=4.x = 11 c. y = 5, x = 10 d. not enough information to determine

I voted b, the grade still hasn t come back yet...Step-by-step explanation:...

If n ||m, find the value of x and the value of y.

nayiiii1874

10.03.2022

Option C

y=5 , x=10

Step-by-step explanation:

If the lines m and n are parallel then the large triangle and the small triangle are similar triangles, because they have equal angles.

By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a ', b' and c 'then:

$\frac{a}{a'}=\frac{b}{b'} =\frac{c}{c'}$

In this case

$a = 12\\a' = 4\\c = 15\\c' = y$

So:

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

$3=\frac{15}{y}$

$y=\frac{15}{3}$

y=5

Therefore

if x+y=15 and y=5 then x =10

Finally

y=5 , x=10

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