Answer:
62
Step-by-step explanation:
First off, vertical angles are always congruent. Which means <A will be equal to <B.
m<A=8x+14
m<B=2x+50
8x+14=2x+50
So you want to get x alone so subtract 2x from each side.
6x+14=50
Since the variable is not alone you will also need to subtract 14 from both sides.
6x=36
You will need to divide both sides by 6
x=6
You now have x. You need angle B though so your not finished.
Plug 6 in for x.
2(6)+50
12+50
62
<B=62
Try this solution (note, this is not the only way):
Q1: if sin(x- 3pi/2)=-sin(3pi/2- x)=--cosx=cosx, then sin(x- 3pi/2)=cosx and sin(x- 3pi/2)=<u>7/25</u>.
Q2: if tan(x)=√3 and x∈(180°;270°), then x=arctan√3+180°=60+180=240°.
If x=240°, then sin(x-210°)=sin30°=<u>0.5</u>.
The answer is a because vertical sides are at a different angle then the horizontal sides but both horizontal and vertical sides are parallel not congruent.<span />
Answer:
l = 10 m
w = 5 m
Steps:
Set equations:
l = 2w
30 = 2l + 2w
Substitute 2w with l in second equation to find l:
30 = 2l + 2w
30 = 2l + l
10 = l
Plug in 10 into first equation to find w:
l = 2w
10 = 2w
5 = w
Answer:
Step-by-step explanation:
We are given the following in the question:
Population mean = 200
Population standard deviation = 50
Sample size, n = 100
We have to estimate the expected value of the sample mean.
The best point estimate for the sample mean is the population mean.
Thus, we can write:
Thus, the expected value of the sample mean is 200.
