The graph of g(x) = f(x) + 5 will have the graph of f(x) moved 5 units upward. The best choice is the last one.
_____
Adding 5 to each y-value (the output of f(x)) moves it upward by 5 units.
Answer:
option D. 126 cm
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Triangles PQR and XYZ are similar by AA Similarity Theorem
so

Let
z ---> the scale factor

substitute the given values

step 2
Find the perimeter of triangle XYZ
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
p_1 ----> the perimeter of triangle XYZ
p_2 ---> the perimeter of triangle PQR
so

The perimeter of triangle PQR is

we have

substitute


therefore
The perimeter of triangle XYZ is 126 cm
The lateral surface area is the area of the side thing, not the 2 circles.
If we imagine to stretch the side out, we can get a rectangle with base the circumference to the base circle, and height of 9 inches.
Therefore this area is pi*8*9=72π
We can guess and check:
we know 105 tickets were sold for a total of 922 dollars
We know there were 10 dollar & 8 dollar tickets sold.
44(10)+64(8)
410+512
922 dollars
44 $10 tickets sold
Answer:
37°
Step-by-step explanation:
figure consists of 2 6 side polygon
sum of interior angles: 180 x (6 - 2) x 2 =1440
x = 1440 - (135 + 107 + 126 + 325 + 125 + 95 + 120 + 90 + 280) = 37°