Answer:
1.148698
Step-by-step explanation:
Answer:
Multiply the rate per hour by the number of hours (n) and add the deposit.
A)
Bike shop x: c = 2.75n + 3.00
Bike shop z: c = 1.75n + 7.00
B) to find when they will cost the same set the equations equal to each other and solve for n:
2.75n + 3.00 = 1.75n + 7.00
Subtract 3 from each side:
2.75n = 1.75n + 4.00
Subtract 1.75n from both sides:
1.00n = 4.00
Divide both sides by 1:
n = 4 hours
Answer:
The distance added to each dimension is 2 yards.
Step-by-step explanation:
The initial dimensions of the rectangular fence is 8 yards by 4 yards.
The initial area of the rectangular fence = area of a rectangle
area of a rectangle = length x width
So that,
The initial area of the fence = 8 x 4
= 32
The initial area of the fence is 32 square yards.
But, with the new dimensions, area = 60 square yards.
(4 + x) x (8 + x) = 60
+ 12x + 28 = 60
+ 12x - 32 = 0
(x + 14) = 0 or (x - 2) = 0
x = -14 or x =2
Thus, x = 2
The distance added to each dimension is 2 yards.
∠A, ∠B, ∠C - interior angles of a triangle.
∠A 1 , ∠B 1 , ∠C 1 - exterior angles of a triangle.
∠A + ∠B + ∠C = 180°
∠A + ∠A 1 = 180°
Therefore: ∠A 1 = ∠B + ∠C ( two remote interior angles )
Answer:
An exterior angle of a triangle is equal to the sum of the two remote interior angles.
Answer: B
Step-by-step explanation:
