Answer:
x + 4 < 12
Step-by-step explanation:
Answer:
9:10 P.M.
Step-by-step explanation:
The least common multiple (LCM) of 12 and 10 is 60. The lighthouses will blink together again 60 minutes later, at 9:10 P.M.
__
<em>Comment on finding the LCM</em>
The LCM can be found several ways. One way is to factor out the greatest common factor (GCF) and write each number in terms of that:
12 = 2×6
10 = 2×5
Then the LCM is the product of the unique factors:
LCM(12, 10) = 2×6×5 = 60
This is equivalent to dividing the product of the two numbers by their GCF:
LCM(12, 10) = 12×10/GCF(12, 10) = 12×10/2 = 60
One can also write each number in terms of its prime factors, then form the product of each of those to its highest power:
12 = 2²×3
10 = 2×5
LCM(12, 10) = 2²×3×5 = 60
x + 33° = 180° (It's forming a linear pair that's why the sum is 180°.)
x = 180° - 33°
x = 147°
D. No, because not enough is information given to prove the triangles congruent by SAS
Answer:
3
Step-by-step explanation:
5x-22 = -7
5x=15
x = 3