M 1 = (2x + 28) m 3= (6x + 4) What is m<2 Enter your answer in the box.
1 answer:
Answer:
m∠2 = 140°
Step-by-step explanation:
m∠1 = m∠3, since they're vertical angles.
Solve for x:
Plug in 6 for x for either m∠1 or m∠3. Doesn't matter since they're equal.
m∠1 = (2(6) + 28)°
m∠1 = (12 + 28)°
m∠1 = 40°
Now that we know m∠1, we can now solve for m∠2.
m∠1 + m∠2 = 180°
40° + m∠2 = 180°
m∠2 = 140°
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Answer:
35 combinations
Step-by-step explanation:
You have to use the formula for finding combinations in probability. It looks like this:
₇C₃ =
so that gives you
₇C₃ =
The 4 factorials cancel each other out, and when you do the math, you get 210/6. That divides evenly into 35. So there are 35 combinations.