The area of the rectangle would be 375
Answer:
36 cm
Step-by-step explanation:
arc length = r × θ
32π = r × 8/9π
r = 36


Recall that

, which is to say

has period

. This in turn means that

will have the same solutions as

for any integer

. So the general solution to the first case is

where

is any integer.
On the other hand,

but

for any value of

, so this equation has no (real) solutions for

.
Answer:
1) Congruent
2) Supplementary
3) Congruent
4) Congruent
Step-by-step explanation:
1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.
3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.
4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.
Answer:
4L = S
4S + 6L = 56
Step-by-step explanation:
S = number of small cars
L = number of large cars
4L = S
Each small car can hold 4 people and each large car can hold 6, so if the total of people is 56, we'll have:
4S + 6L = 56
Now you put the two equations together to form the system:
4L = S
4S + 6L = 56