Solve the triangle. B = 36°, a = 38, c = 18

b ≈ 41.7, C ≈ 28.2, A ≈ 115.8
b ≈ 25.7, C ≈ 24.2, A ≈ 119.8
b ≈ 25.7, C ≈ 116.8, A ≈ 27.2
b ≈ 41.7, C ≈ 24.2, A ≈ 119.8

b ≈ 25.7, C ≈ 24.2, A ≈ 119.8

Step-by-step explanation:

b² = a² + c² - 2ac·cos(B)

b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475

b ≈ 25.715

sin(C)/c = sin(B)/b

C = arcsin(c/b·sin(B)) ≈ 24.29515°

∠A can be found as 180° - ∠B - ∠C

A = arcsin(a/b·sin(B)) ≈ 119.70485°

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

step-by-step explanation:

if you want to separate 54 into 6 individual tiers then you need to divide if you want to separate 54 into 6 individual tiers then you need to divide 6 and 54.

if you divide 9 by 6 you will get 54.

- hope i .