Answer:
B. 31°, 106°, and 43°.
Step-by-step explanation:
the sum of the measures of the angles in a triangle add up to 180°, so:
3x+1+11x-4+5x-7=180
19x-10=180
19x=190
x=10
now that we know x is equal to 10, we can find the three angle measures:
3x+1 -> 3(10)+1 = 31°
11x-4 -> 11(10)-4 = 110-4 = 106°
5x-7 -> 5(10)-7 = 50-7 = 43°
so, the answer is B.
Answer:
m=3/2
Step-by-step explanation:
Answer:
x=81°
Step-by-step explanation:
The sum of all angles in a triangle is 180°
57+42=99
180-99=81
The answer is m = 7.
1. (<span>13−m=2(m−4) </span>Regroup terms
2. Expand (<span>13−m=2m−<span>8)
3. </span></span>Add <span><span>m</span></span> to both sides (<span>13=2m−8+<span>m)
4. </span></span>Simplify (<span>2m−8+m</span> to <span><span><span>3m−8)
5. add 8 to both sides (13 + 8 = 3m)
6. </span></span></span>Simplify <span>13+8 to 21
7. </span>Divide both sides by <span><span>33</span></span> (21/3 = m)
8. simplify 21/3 to 7 (7 = m)
9. switch sides ( finally m = 7)
