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Mekhanik [1.2K]
3 years ago
15

Write a proof to show that opposite angles of a parallelogram are congruent. Be sure to create and name the appropriate geometri

c figures. This figure does not need to be submitted.
Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0
Parallelograms, have 2 pairs of parallel lines. The diagnosis are congruent, so one diagnosis makes 2 congruent triangles. Use the WSS triangle theorem. We have congruent angles.
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BRAINLIESTT ASAP! PLEASE HELP ME :)<br><br> Solve for x given that CE=36. Show your work.
grigory [225]
<h3>Answer: x = 7</h3>

Explanation:

Segment addition postulate

CD+DE = CE

this basically is the idea of gluing smaller pieces together to get a larger structure. We can go in reverse to break up a large item into smaller bits. This is assuming there is no leftovers, overlaps, or parts wasted/lost.

CD = 9

DE = 3x+6

CE = 36

----

CD+DE = CE

9+3x+6 = 36

3x+15 = 36

3x = 36-15

3x = 21

x = 21/3

x = 7

-----

If x = 7, then

DE = 3x+6 = 3*7+6 = 21+6 = 27

and

CD+DE = 9+27 = 36 = CE

confirming our answer

6 0
2 years ago
3 to the power of -4
leva [86]
Three to the power of negative four is 81
3 0
2 years ago
Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
What function can be used to model data pairs that have a common ratio?
liubo4ka [24]
Correct answer is C.

For example 2, 4, 8, 16, 32...

2=\frac{4}{2} = \frac{8}{4} = \frac{16}{8} = \frac{32}{16} =...

y=2^x
4 0
3 years ago
Read 2 more answers
Please help I’ll mark brainliest if u give a small explanation
makvit [3.9K]

Answer:

35

Step-by-step explanation:

yeah becuse 35fttttt

6 0
3 years ago
Read 2 more answers
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