**Answer:**

False.

**Step-by-step explanation:**

Z = 70 because 5x5 is 25 so u have to do 14x5 which is 70

△DEF is rotated about point N to △D′E′F′.

A rotation is a transformation that turns a figure about a fixed point called the center of rotation. In your case the center of rotation is point N. A rotation is an isometric transformation: the original figure and the image are congruent. Main properties of rotation:

1) A rotation preserves lengths of segments.

2) A rotation preserves degrees of angles.

3) A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

Therefore, option C is true (because the original figure and the image are congruent) and option D is false (because the original figure and the image must be congruent).

All corresponding points on the image and pre-image are equidistant to point N. This option is true (because rotation preserves lengths of segments), thus, DN≅D'N'.

**Answer:**

d = - 8

**Step-by-step explanation:**

3(d-8) - 5 = 9(d+2) + 1

3d-24 - 5 = 9d+18 + 1

3d - 29 = 9d + 19

9d - 3d = -29 - 19

6d = - 48

6d / 6 = -48/6

d = -8

This is a system of equations. The best way to solve it is by realizing that you have two equations equal to y. Since y = y, it follows that

. Solving for x, you get 4.

Then, substitute 4 into one of the original equations to find y.

.

The solution is

. I have attached a graphical representation of the solution as well.