Which relationship is always true for the angles r, x, y, and z of triangle abc? a triangle is shown with a leg extending past the top vertex. the vertices are labeled abc. angle y is located inside the triangle at vertex b. angle z is located inside the triangle at vertex c. angle x is located outside the triangle between beside vertex a and the extended leg. angle r is located inside the triangle at vertex a. x + z = y 180 degrees − x = r x + y + z = 180 degrees x + y + z = 90 degrees

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

answer: rolling a number cube and flipping a coin.

step-by-step explanation:

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130