Answer:
(n-2)180 (this is the equation to find the sum of interior angles)
(4-2) 180 (plug in the amount of angles in the polygon and then solve)
2* 180
360
360 - 115 -100- 73= 72 (360 is the sum of all angles for this polygon. so subtract the known angles to find the unknown one)
measure of angle B is 72 degrees
Step-by-step explanation:
Answer: 70 cubic feet
Step-by-step explanation:
Hi, to answer this question we have to apply the formula of a rectangular prism.
V = length x width x height
Since the area of a rectangle is : A = length x width
So, the volume is also:
Volume = area x height
Replacing with the values given and solving for V:
V =35 ft2 x 2 ft = 70 cubic feet
Feel free to ask for more if needed or if you did not understand something.
Answer:
z=15u+2z=10
Step-by-step explanation:
This is correct because if you check your work by dividing by 2. or multiplying 0.5 You will see it's correct.
mechanic #1's rate = x
mechanic #2's rate = y
* Their rate is dollars per hour ($/hr)
mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1
and mechanic #2 worked for 5 hours
5y = money earned by mech#2
together they charged a total of $1150. So the amount of money earned by both mechanics.
20x + 5y = 1150
the sum of the two rates was $95 per hour.
x + y = 95
which means
x = 95 - y
plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.
20(95 - y) + 5y = 1150
solve for y
1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr
Now use this to solve for x
x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr
mech#1 charged 45$/hr
mech #2 charged 50$/hr
