Answer:
3x +89 + 8x + 58 =180 (they are supplementary angles, so added together they are equal to 180)
11x + 147= 180 (combine like terms on the left side of the = sign)
11x= 33 (subtract 147 from both sides and then divide by 11 to isolate x)
x= 3 (this is x)
3x +89 (this is the measure of angle MON, plug in x and solve)
3(3)+89
9+89
98 degrees (this is your answer)
Step-by-step explanation:
The measure of the smaller angle is 64°.
Answer:
2024 ways
Step-by-step explanation:
Because order doesn't matter in this scenario, we can use the binomial function , where n is the total number of items (students in this case) and k is the number of items we'd like to choose.
This binomial function is equivalent to:
, where n! means n * (n - 1) * (n - 2) * ... * 2 * 1
Here, we have .
Thus, the answer is 2024 ways.
<em>~ an aesthetics lover</em>