Answer:
True
Step-by-step explanation:
The polygons given have 5 sides, so the sum of their interior angles is (5-2) * 180 = 540. Next, there are 4 pairs of corresponding sides. Writing those sides as a, b, c, and d, for each pentagon, we can write
540 = a + b + c + d + missing angle
540 = a + b + c + d + missing angle
As is shown here, if a, b, c, and d are the same, 540 - (a+b+c+d) = missing angle is the same as well. Therefore, there are 5 corresponding angle pairs for the two polygons. Furthermore, because there are only 5 angles for each polygon, and because having all corresponding angles be equal makes polygons similar to each other, the polygons given are similar
Answer:
Step-by-step explanation:
Givens
d = 3"
h = 1 inch
pi = 3.14
Formula
V = pi r^2 h
Solution
r = d/2
r = 3/2 = 1.5
V = 3.14 * 1.5^2 * 1
V = 3.14 *2.25
V = 7.065
Answer: OPTION C.
Step-by-step explanation:
In order to solve the given exercise, you can follow these steps:
1. Given the following function f(x):
You must substitute 
into the function f(x). Then:
2. Evaluating, you get:
3. Now, the next step is to substitute 
into the function g(x):
4. Finally, evaluating, you get the following result:
You can identify that it matches with the Option C.
Answer:
160 cars
Step-by-step explanation:
The computation of the number of more cars he washed this year is given below;
Last year, he washed 20 cars a week so on yearly basis he washed
= 20 cars × 52 weeks
= 1,040 cars
And, this year he washed 1,200 cars
So, the number of more cars he washed this year is
= 1,200 cars - 1,040 cars
= 160 cars
