Grace has a segment with endpoints A(3, 2) and B(6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio. She knows that the distance between the x-coordinates is units. Which of the following fractions will let her find the x-coordinate for point C?
A.3/5
B.3/2
C.2/3
D.2/5

D.2/5

Step-by-step explanation:

Took the test

The answer is 2/5

Step-by-step explanation:

The reason for this is that to solve the problem you would have to figure out the fraction form of 2:3. The fraction form of 2:3 is 2/5. None of the other fractions relate to solving this problem so they are irrelevant.

Therefore the answer would be 2/5.

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parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

probability for j is 1/4

while

a is 1/6