Given line p is parallel to line q and measure of angle 10 = 3x - 7 and the measure of angle 13 = 4x - 9, find the value of x.

the answer is a

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

the answer is 8/21

hope this

answer is because 4×10=40

and 98×4= is 392

40,392