In AABC, ZA= 58° and m2 B = 45° Select the triangle that is similar to AABC.
O A. AMNP, in which m2M = 58° and
MZN = 103°
B. AXYZ, in which m2 X= 45° and
m2Y = 103
C. AHIJ, in which mZH= 58° and
m2J = 77°
O D. APQR, in which m2 P= 58° and
mZR= 70°

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

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105

6 adults and 9 children went.

a + c = 15

12a + 9c = 153

12(6) + 9(9) = 153

72 + 81 = 153