32= 4.81648 ^-^ you do 2 divided by 32, which is 16, then multiply that by the 0.30103
3 is the scale factor you would use to dilate Figure A to Figure B.
A triangle is rotated around N to give the primed version.
A. Same shape and size -- TRUE. Rotation doesn't change shape or size.
B. Corresponding points are equidistant to N. That's TRUE, each point is rotated around N to get its corresponding point, which will be the same distance from N.
C. DN=D'N. TRUE, just an example of corresponding points.
D. Corresponding side lengths unequal, FALSE. Rotation doesn't change lengths.
Answer:
28
Step-by-step explanation:
Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:
3x+4 = 5x-6
3x+10 = 5x
10 = 2x
x = 5
Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:
(3*(5)+4)*2
=(15+4)*2
=19*2
=28
(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)
Therefore, the length of AC is 28.
