Find the values of x and y

x = 2

y = 12

Step-by-step explanation:

In triangle ABD, CE is the mid segment.

Therefore, by mid segment theorem:

2(5x - 3) = x + 12

10x - 6 = x + 12

10x - x = 12 + 6

9x = 18

x = 18/9

x = 2

Since, DE = EA

2y - 4 = y + 8

2y - y = 8 + 4

y = 12

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step-by-step explanation:

u send me a picture of ur work

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4