In triangle abc, angle abc is a right angle included between ab = 3 units and bc = 2 units. triangle abc is dilated by a scale factor of 0.5 with point b as the center of dilation, resulting in the image triangle a'b'c. which statement about a'b' is true?

a'b' is 1.5 units long and lies on the same line as ab.

a'b' is 3 units long and lies on the same line as ab.

a'b' is 1.5 units long but lies on a different line than ab.

a'b' is 3 units long but lies on a different line than ab.

Which steps could be part of the process in algebraically solving the system of equations, y+5x=x^2+10 and y=4x-10

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.

Aright cylinder has a diameter of 8 m and a height of 6m. what is the volume of the cylinder