Remember the distance formula




Answer:
B. 2 in.
Step-by-step explanation:
First, put the two perimeters together to form a fraction.
192/48, which can simplify to 4/1
Now, following the order in which you put the perimeters (I used C/D,) set it equal to the sides.

Now, cross multiply. (multiply 1 and 8, 4 and x.)

Now, solve.
x=2 inches.
Answer: 3rd option : Angle 2 and 7
Step-by-step explanation:
Alternate exterior angles are located on the outside of the parallel line on opposite sides.
Therefore, the alternate exetrior angles are 1 and 8 and 2 and 7.
Since there is no option for angle 1 and 8, the correct answer is the 3rd option --> Angle 2 and 7.
Answer:
D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.
Step-by-step explanation:
The coordinates of triangle A are (-2,1) , (1,1), (1,-1) and (-2, -1) while that of triangle B are (-3, 6), (3, 6), (3, -3) and (-3, 3).
To transform A to be we need a combination of two transformations, and that is dilation and rotation.
If A is dilated by a scale factor three through the origin as the center of dilation and then rotated through 90° clockwise with the origin as the center of origin, then rectangle B will be obtained.
Answer:
16
Step-by-step explanation:
f (x)= -5x+1.
Let x = -3
f(-3) = -5(-3) +1
=15 +1
= 16