Lines g, h, and l are parallel and m< 2 = 132°.
2 answers:
Answer:
A
Step-by-step explanation:
If you take a look at m∠8 & m∠6 and m∠4 & m∠2, they all form linear pairs, and linear pairs sum up to 180°, and m∠6 and m∠2 are in correspondence with each other [equivalent angle measures], according to the Angle Correspondence Theorem:
180° = 132° + m∠8
- 132° - 132°
____________________
I am joyous to assist you anytime.
You might be interested in
Answer:
volume V of the solid
Step-by-step explanation:
The situation is depicted in the picture attached
(see picture)
First, we divide the segment [0, 5] on the X-axis into n equal parts of length 5/n each
[0, 5/n], [5/n, 2(5/n)], [2(5/n), 3(5/n)],..., [(n-1)(5/n), 5]
Now, we slice our solid into n slices.
Each slice is a quarter of cylinder 5/n thick and has a radius of
-k(5/n) + 5 for each k = 1,2,..., n (see picture)
So the volume of each slice is
for k=1,2,..., n
We then add up the volumes of all these slices
Notice that the last term of the sum vanishes. After making up the expression a little, we get
But
we also know that
and
so we have, after replacing and simplifying, the sum of the slices equals
Now we take the limit when n tends to infinite (the slices get thinner and thinner)
and the volume V of our solid is
