Answer:
Step-by-step explanation:
24
The LCM of 6 and 8 is 24. To find the least common multiple (LCM) of 6 and 8, we need to find the multiples of 6 and 8 (multiples of 6 = 6, 12, 18, 24; multiples of 8 = 8, 16, 24, 32) and choose the smallest multiple that is exactly divisible by 6 and 8, i.e., 24.
Answer:
Step-by-step explanation:
We are told that n = 3m + 6. Substitutte 3m + 6 for n in the second equation, obtaining:
(3m + 6) - 2m = 2, or 3m + 6 - 2m = 2.
Combining like terms yields
m = -4.
Knowing that m = -4 allows us to calculate n. Use the first equation, n = 3m + 6, for this purpose: n = 3(2) + 6 = 12.
Thus, the solution is (2, 12).
<em>x</em> and <em>w</em> are parallel lines, so
• angles 2 and the one labeled 75º are congruent because they are alternating interior angles, and
• angles 1 and 2 are supplementary because they form a linear pair.
The first observation tells you that angle 2 has measure 75º, and angle 1 has measure <em>m</em> such that
<em>m</em> + 75º = 180º
so angle 1 has measure 180º - 75º = 105º.
