Answer:
(−x, y)(x−4, y+2)
Step-by-step explanation:
If the figure is to be congruent, there must be no dilation. Any transformation having a multiplier on x or y cannot be a solution.
The only remaining choice is the one shown above, which involves a reflection across the y-axis and a translation.
Answer:
B
Step-by-step explanation:
The volume of a square pyramid can be found using:
v=1/3 bh
Where b is the area of the base, and h is the height
First, let's find the area of the base
a=l*l
We know the length is 5, so we can substitute it in
a=5*5
a=25
Now we know b(area), is 25, and we know the volume is 75, so we can substitute them in
v=1/3 bh
75=1/3(25)h
Divide both sides by 1/3, or multiply both sides by the reciprocal, 3/1
225=25h
Divide both sides by 25
h=9
So, the height is 9 feet , or choice B
Answer:
The side of the hypotenuse is 12.233 centimeters.
Step-by-step explanation:
The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:
(1)
Where 
is the length of the hypotenuse, measured in centimeters.
Then, we clear the variable within (1):
The side of the hypotenuse is 12.233 centimeters.
