114 students choose to attend one of three after school activities: football, tennis or running. There are 53 boys. 53 students
choose football, of which 27 are girls. 23 students choose tennis. 28 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
1 answer:
Answer:
1/3
Step-by-step explanation:
The attachment shows a table with the given information filled in. Since we know 53 chose football and 23 chose tennis, the remaining 38 must have chosen running.
Then 38 out of 114 students chose running. The probability that one of those is picked at random is ...
p(running) = 38/114 = 1/3
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Answer: 89
43 + x = 132 => Exterior Angle Theorem
^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.
x = 89
**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**
43 + x = 132 => Exterior Angle Theorem
^
The measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles. That means the two remote interior angle add up to the exterior angle.
x = 89
**To find the last angle: 89 + 43 + x = 180 => Triangle Sum Theorem states that the interior angles of a triangle add up to 180. The last angle would be 48.**