Given: lines l and m are parallel, and line t is a transversal.
angle pair result/justification
1 and 2 are equal (vertical angles)
6 and 8 are equal (corresponding angles)
1 and 4 are equal (alternate exterior angles)
4 and 8 are supplementary angles (i.e. add up to 180 degrees, a straight angle)
Note:
alternate angles are on opposite sides of the transversal, and each attached to a different (parallel) line.
If they are both enclosed by the parallel lines, they are alternate interior angles (examples: angles 2 and 3, 6 and 7)
If they are both outside of the two parallel lines, they are alternate exterior angles (examples: angles 1 and 4, 5 and 8)
The efficiency of Franklin: 200/14 ft^2/hr
Scott: 200/10 ft^2/hr
So together: 200 / (200/14 + 200/10) = 5.83 hours
Step-by-step explanation:
There are 2 questions in one.
1)
<u>Roberta is 20 years older than Julian. In 4 years, Roberta's age will be twice Julian's age:</u>
---------------------------
2)
<u>Roberta is twice as old as David. In 10 years, Roberta will be 8 less than three times David's present age:</u>
Correct choice is A
The answer is B) 108 cubic inches because since prism H is three times the height of prism G's height , the volume of prism H is three times prism G volume therefore you multiply prism G's height; 36 by 3 to get 108
You have to multiply 18 by three which is 54 inches.
then you have to divide 54 by 12 because a foot is 12 inches.
when you do that you should get 4.5
then you subtract 4.5 by 5.5 and get 1 foot of rope left
18*3=54
54/12=4.5
5.5-4.5=1.0
1 foot of rope
