Answer:
w = 42
Step-by-step explanation:
A linear pair is a pair of adjacent angles which add up to 180 degrees(supplimentary).
Given m<1 = w + 5, m<2 = 3w + 7, and the fact that m<1, and m<2 form a linear pair. This relationship can be given by:
m<1 + m<2 = 180.
To solve just substitute the expressions given by the angles, and solve.
m<1 + m<2 = 180
| |
v v
(w+5)+(3w+7) = 180 →
4w + 12 = 180
-12 -12
___________
4w = 168
÷4 ÷4
_______
w = 42
There is no problem on here
Answer:
2.06
Step-by-step explanation:
The formula for critical value = Margin of Error / Standard Error
Margin of Error = z × Standard deviation/√n
Mean for the month of March = $305.30
Standard deviation = $46.50
n = number of samples = 26 homes
z score for 95% confidence interval = 1.96
= 1.96 × $46.50/√26
= 17.874024556
Standard error = standard deviation/√n
= $46.50/√26
= 9.1194002839
Critical value = Margin of Error/Standard Error
= 17.874024556/9.1194002839
= 2.06
Answer:
195 degrees
Step-by-step explanation:
Once again, since the total degree measure of a circle is 360 degrees, if one arc of the circumference is 165 degrees then the rest of the circle is 360-165=195 degrees. Hope this helps!
Answer:
Part a) The area of the pool is
Part b) The area of the pool and the walkway is
Step-by-step explanation:
we know that
The area of the rectangle is equal to
where
L is the length side
W is the width side
Part a) What is the area of the pool?
we have
substitute the values
Part b) What is the area of the pool and the walkway?
we have
substitute the values