The answer is A. Each time it is multiplied by a higher number so 1 x 2 = 2 . 2 x 3 = 6 . 6 x 4 = 24 . 24 x 5 = 120 . 120 x 6 = 720
Add 12 to 16 on the other side to make 4x = 28. Then divide 28 by 4, which equals 7. Solution is x = 7
Your end result has to come out with the unit "gallons."
Write and solve an equation of ratios, as follows:
180 miles 420 mi
-------------- = ------------
12 gal x
Then 180x = 5040, or x = 20
The car would need 20 gallons of gas to travel 420 miles.
In the given figure above, we can use the formula for tangent-tangent angle. This is under the type of angle whose vertex is outside the circle and its sides intersects the circle.
Applying the tangent-tangent angle formula:
m∠APB =
(ALB - AB)
m∠APB = angle of the vertex
ALB = measure of arc ALB
AB = measure of arc AB
we all know that the total measure of arc is equal to 360, hence, ALB + AB = 360
let: x = measure of arc AB
360 - x = measure of arc ALB
substitute:
78 =
{(360 - x) - x}
78 =
(360 - 2x)
78 = 180 - x ⇒ simplifying further by dividing both 360 and -2x by 2
x = 180 - 78 ⇒ combining like terms
x = 102
arc AB = 102 ⇒ Answer