We can simplfiy to be 
.
We know that
is 10 and
is i, so the answer is 10i, or D.
Step-by-step explanation:
part A:
ABCD is transformed to obtain figure A′B′C′D′:
1) by reflection over x-axis, obtain the image :
A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)
2) by translation T (7 0), obtain the image :
A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)
part B:
the two figures are congruent.
the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)
40 because 3+6+12 = 21 and 8+11+21 =40
Answer:
Option C.
Step-by-step explanation:
It is given that the dilation rule is
. It means the center of dilatation is point Q and scale factor is 2.5.
Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

It is given that QU=4 and scale factor = 2.5.

Multiply both sides by 4.


We know that



The distance between U' and U is 6 units.
Therefore, the correct option is C.
Multiply:
2 boxes x 5 packs each = 10 total packs
10 packs x 8 markers per pack = 80 total markers
Any: 80 markers