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Answer:
x = 28
Step-by-step explanation:
Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.
Thus,
<AOD = <BOC
<AOD = 152°
<BOC = 3x + x + (x + 12) (angle addition postulate)
<BOC = 5x + 12
Since <AOD = <BOC, therefore,
152° = 5x + 12 (substitution)
152 - 12 = 5x (subtraction property of equality)
140 = 5x
140/5 = x (division property of equality)
28 = x
x = 28
1 centimeter is equivalent to 10 millimeters. So 15x10=150 millimeters.
Hope this helped! :D
Answer:
3 friends are older than the average.
Step-by-step explanation:
First find the mean. The mean can be found adding all the numbers in the set together and dividing by the amount of numbers in the giving set:
(25 + 36 + 33 + 36 + 30)/5 = (160)/5 = 32
The average age is 32. There are 3 friends that are older than the average (33 , 36 , 36, respectfully).
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