Answer:
Choice A.......< B is 147 degrees
Step-by-step explanation:
The total sum of the interior angles of a pentagon is 540 degrees
...So let's count the angles that we already have:
<A is 90
<B is ?
<C is 105
<D is 108
<E is 90
Noticed that both angles A and E are 90 since they have that little square that represents a straight angle.
Let's find the value for <B
90+ x + 105 + 108 + 90= 540
393 + x= 540
x= 540 -393
x = 147
So angle B is 147 degrees
Sal: 25 +5x = 240
Divide 5 from both sides so it would be 5+ x=240/5
Subtract 5 from both sides x=48-5
X= 43
Elena: 15 + 5x=300
Divide 5 from both sides so it would be 3 +x=300/5
Subtract 15 from both sides x=60-3
X=57
So Sal jogged for 43 minutes. While Elena jogged for 57 minutes
Answer:
Step-by-step explanation:
<u>Points given:</u>
- (-1, 3), (1, 1), (3, -1), (5, -3)
<u>Slope-intercept form:</u>
<u>Finding the slope using slope formula and the first two points:</u>
- m = (1 - 3)/(1 - (-1)) = -2 / 2 = -1
<u>Finding y-intercept using the slope and the first point:</u>
- 3 = (-1)*(-1) + b
- 3 = 1 + b
- b = 3 - 1
- b = 2
<u>So the equation is:</u>
The answer for this is 12.
Answer:
(5953.52,6046.49)
Step-by-step explanation:
We are given the following in the question:
Mean, 
= 6,000 pounds
Sample size, n = 40
Alpha, α = 0.05
Standard deviation, σ = 150 pounds
95% Confidence interval:
Putting the values, we get,
are the limits within which 95% of the sample means occur.
