Question

M and L are midpoints of AB and AC

Answer 1

whats the Q.

Answer 2

find x and y

Answer 3

i just dont know the equation

Answer 4

damn idk

Answer 5

@mathmale

Answer 6

Without actually going through the proofs, I'd say that the 2 triangles you see in this picture are SIMILAR. If that's the case, then Angles ABC and AML are equal. What equation in x and y does that give you?

Answer 7

i have no idea how to set up the equation

Answer 8

@mathmale

Answer 9

oh its 2 equations would it be 10y+2+8x+32
and
12y-20=6x+2?

Answer 10

Look carefully at the picture. Angle AML has measure (size) what?

Answer 11

10y+2

Answer 12

Right, and what about the measure of Angle ABC?

Answer 13

8x+32

Answer 14

Again, very good. Since these angles are equal, write the equation 8x+32 = ?

Answer 15

8x+32 = 10y+2

Answer 16

You're doing fine. Now, if we could come up with one more equation, we'll have enuf info from which to find x and y. Take another look at the picture and see if you can find any more info that we could use to set up another equation.

Answer 17

Because of that word, "midpoint," we know that one of the triangles is twice the size of the other one. Does that help you at all?

Answer 18

is it 6x+2=12y-20?

Answer 19

no thats wrong

Answer 20

You're certainly getting there. But look carefully: does it appear that ML has the same length as BC?

Answer 21

If not, could you fix your equation?

Answer 22

is ml half of bc?

Answer 23

Yes. Very good. Now, how can you use that info to write a new, and correct, equation in x and y?

Answer 24

10y+2=1/2(8x+32)

Answer 25

As you said, ML is half of BC. This is the same as saying that 2ML = BC.
What is ML? Multiply that by 2, then set the result equal to BC.

Answer 26

Hint: BC = 12y-20.

Answer 27

oh right i meant 10y+2=1/2(12y-20)