Answer:
(0,0) (2,4) (-2,-4)
Step-by-step explanation:
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)
Answer:
a. 20,579.52 cubic inches
b.10,289.76 cubic inches.
c. 13.49 inches
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of a sphere:
Volume of a sphere: 4/3 π r³
Since diameter (d) = 2 radius (r)
Replacing with the value given:
34 =2r
34/2=r
r= 17 in
Back with the volume formula:
V = 4/3 π r³
V =4/3 π (17)³
V = 20,579.52 cubic inches
The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.
20,579.52/2 = 10,289.76 cubic inches.
To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76
10,289.76= 4/3 π r³
Solving for r
10,289.76/ (4/3 π)= r³
2,456.5 = r³
∛2,456.5 = r
r = 13.49 inches
Step-by-step explanation:
When x = 4,
<em> </em>
when x = 7
.PLEASE GIVE BRAINLIEST.
