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Answer:
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Step-by-step explanation:
Answer:
z= 13
x= 36
y= 18
Step-by-step explanation:
Solving for z.
We know that 108 degrees and (8z+4) are alternate exterior angles, so they are equal to each other.
We can set both of those angles equal to each other, and solve for our missing side, z.
108= 8z+4
104=8z
z= 13
Solving for x.
We know that 108 degrees and (3x) are alternate interior angles, so they would equal each other.
We can set both of these angles equal to each other, and solve for our missing side, x.
3x=108
x= 36
Solve for y.
We know that (4y) and (3x) are same side interior angles, so they would make 180 degrees. We know that (3x) would equal 108.
4y+108=180
4y= 72
y= 18
4 minutes 34 seconds will takes to empty the tank, if the starts completely full and oil drained at a rate of 2.5
per minute.
Step-by-step explanation:
The given is,
Tank is shaped like a cylinder that is 3 ft long with a diameter of 2.2 ft.
Oil drained at a rate of 2.5
per minute.
Step:1
Time taken to dry the oil tank is,
T =
....................................(1)
Step:2
Volume of the oil is,
.................................................(2)
Where, r - Radius of Cylinder

r = 1.1 ft
From eqn (1),
V =
×
× 3
= 11.40398 
Step:3
From equation (1)
=
= 4.56
= 4.56 minutes
T = 4 minutes 34 seconds
Result:
Time taken to dry the oil tank is 4 minutes 34 seconds, if a cylinder is 3 ft long with a diameter of 2.2 ft and oil is drained at a rate of 2.5ft^3 per minute.
Hey there! :)
Answer:
y = x - 3.
Step-by-step explanation:
Given:
Slope = 1
Point on line: (8, 5)
Plug these into the formula y = mx + b, where:
m = slope
x = x coordinate of point
y = y coordinate of point
5 = 1(8) + b
5 = 8 + b
Subtract both sides by 8:
5 - 8 = 8 -8 + b
-3 = b
Rewrite the equation:
y = x - 3.