Answer:
39.2°
Step-by-step explanation:
Vertical angles are always congruent.
One method to see it's a trapezoid is to find the slope of lines BC and AD.
The slope formula is
m = (y2-y1)/(x2-x1)
You should find that BC and AD both have the same slope (of -1), so that means the lines are parallel. That proves we have a trapezoid.
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To prove this trapezoid is isosceles, you can use the distance formula
to find the lengths of AB and CD (the two non-parallel sides). You should find that AB = CD.
Because AB and CD are horizontal and vertical respectively, this means you can simply count out the spaces to find that AB and CD are 3 units each. For any other rotated version of this trapezoid, use the distance formula instead.
<span>If Bob works alone for one hour, he will get 1/6 of the yard work done. Working alone for two hours, Bob will get 2/6 = 1/3 of the yard work done. When Bob and Tom work together for two hours to finish the yard work, Bob will have done 1/3 of the work, which means Tom must have done 2/3 of the work in the two hours. Therefore if Tom works alone, the time he would take to finish the yard work is given by:
2/(2/3)=(you can calculate) hours</span>
Answer:
The answer should be 42
Step-by-step explanation:
One-third of 42 is 14 if you subtract 6 from 14, you should get 8.