Which of the following equations has the solution x = 5? a. 2x + 9 = 15 b. 3x + 7 = 22 c. 2x – 5 = 17 d. 3x – 6 = 15

B. 3x+7=22

Step-by-step explanation:

Lets solve each equation alone to find the possible solutions.

A. 2x+9=15

Putting like terms together.

2x=15-9

2x=6

x=3

B. 3x+7=22

Collecting like terms together:

3x=22-7

3x=15

x=5

C. 2x-5=17

2x=17+5

2x=22

x=11

D. 3x-6=15

3x=15+6

3x=21

x=7.

The only equation that gives x=5 is B. 3x+7 =22

Length of rotated segment = 94 cm

Step-by-step explanation:

Rotation is transformation of a figure or a segment about a center which rotates the figure or segment about the center with the angle of rotation.

Rotation is that type of transformation in which the image and pre-image are congruent. This means that rotation has no effect on shape and size of figure or segment  and thus, the shape and size of the figure or segment remains same after rotation.

It is given that a segment of length 94 cm is rotated degrees around a center .  

The rotation will have no effect on size of the segment as stated above.

Thus, the segment after rotation will still measure 94 cm.