23-12-2020
Mathematics

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NP and MQ are medians of triangle NML. Find XQ if MQ=3x-3 and XQ=2x-6. PLEASE HELP

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sqdancefan sqdancefan

02-01-2021

9514 1404 393

Answer:

4

Step-by-step explanation:

We assume that point X is the intersection point of the medians. Then ...

MQ = 3XQ

3x -3 = 3(2x -6)

3x -3 = 6x -18 . . . eliminate parentheses

15 = 3x . . . . . . . . . add 18-3x

5 = x . . . . . . . divide by 3

Now, we can find XQ:

XQ = 2x -6 = 2(5) -6

XQ = 4

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