If she can ride her bike 3 miles in 24 minutes how far can she ride her bike in 72minutes. So, if we find out how many times 24 goes into 72 (by dividing it) then times the answer by 3 because that’s how many miles she can do in 24 min. That will give you the answer e.g
Sally can ride her bike 4 miles in 12 minutes so how far can she ride her bike in 24 minutes. You do:
_2_. 2x 4 = 8 so she would be able to
12) 24. Do 8 miles I. 24 minutes.
N is an odd integer
The Next Larger is N+2
N+2 + 2N = -27 + 4N
3N + 2 = 4N - 27
0 = 4N - 27 - 3N - 2
0 = N - 29
N = 29
They are 29 and 31.
31 + 2(29) = 4(29) - 27
31 + 58 = 89 = 116 - 27 yes it works
Answer: The volume is 942 cubic feet , 942 ft^3
Step-by-step explanation:
The formula for the volume of a cylinder is v = pi* r^2 * h
Where v is the volume, r is the radius and h is the height.
Input the values for pi, radius, and the height into the formula to solve for the volume.
v = 3.14* (5^2) * 12
V = 3.14* 25 * 12
V = 942
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
Answer:
x = 2
Step-by-step explanation:
For quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a).
Here, we have a=2, b=-8, so the axis of symmetry is ...
x = -b/(2a) = -(-8)/(2(2)) = 8/4
x = 2