SOLUTION: 1. In 􏰀ABC, the sum of the measures of ∠A and ∠B is 47°. What is the measure of ∠C ? A. 047° B. 086° C. 094° D. 133° E. 143° 2.For 2 consecutive intege

Algebra ->  Finance -> SOLUTION: 1. In 􏰀ABC, the sum of the measures of ∠A and ∠B is 47°. What is the measure of ∠C ? A. 047° B. 086° C. 094° D. 133° E. 143° 2.For 2 consecutive intege      Log On


   



Question 798428: 1. In 􏰀ABC, the sum of the measures of ∠A and ∠B is 47°. What is the measure of ∠C ?
A. 047° B. 086° C. 094° D. 133° E. 143°
2.For 2 consecutive integers, the result of adding the smaller integer and triple the larger integer is 79. What are the 2 integers?
A. 18, 19
B. 19, 20
C. 20, 21
D. 26, 27
E. 39, 40

Answer by MathLover1(20850) About Me  (Show Source):
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1.
by definition, the sum of the measures of all three angles in triangle ABC is 180°
A%2BB%2BC=180°
if the sum of the measures of ∠A and ∠B is 47°, then
47%2BC=180°.....solve for C
+C=180-47°
+C=133°
2. let 2 consecutive integers be x and x%2B1,
if the result of adding the smaller integer (x) and triple the larger integer (3%28x%2B1%29)is 79, we have
x%2B3%28x%2B1%29=79....solve for x
x%2B3x%2B3=79
4x+=79-3
4x+=76
x+=76%2F4
x+=19...first integer
x%2B1+=20...second integer
so, answer is B. 19, 20