Answer:
x = 23
y = 110
Step-by-step explanation:
70 and 3x+1 are alternate exterior angles and that means they are equal
70 =3x+1
Subtract 1 from each side
69 = 3x
Divide by 3
69/3 =3x/3
23 =x
70 and y are same side exterior angles and that means they are supplementary ( add to 180)
70+y = 180
y = 180-70
y = 110
Answer:
a) The probability that at least 5 ties are too tight is P=0.0432.
b) The probability that at most 12 ties are too tight is P=1.
Step-by-step explanation:
In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.
a) We can express the probability that at least 5 ties are too tight as:

The probability that at least 5 ties are too tight is P=0.0432.
a) We can express the probability that at most 12 ties are too tight as:

The probability that at most 12 ties are too tight is P=1.
That's the second one,
180 - x = r
Whenever two lines cross we get congruent opposite angles and supplemental adjacent angles, i.e. they add to 180 degrees.
The first one is almost right; we have r+y+z=180 and r+x=180 so x=y+z not quite what was written.
Answer:
C. Multiply 3 by 18
Step-by-step explanation:
Susan reads:
1 page in 3 mins
So,
1 page = 3 mins
<u><em>If we want the time for 18 pages, we would multiply both sides by 18</em></u>
So,
18 pages = 3×18 mins
18 pages = 54 mins
Answer:
A and B are the remaining angles because of course a triangle always adds up to 180 degrees so you subtract 125.5 from 180 and get 54.25, then you look for the teo angles that when added together total 54.25 and you have your angle then using your three angles you calculate your area to be 772.04
Step-by-step explanation: