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3 years ago

Please help number 4 and 6

Mathematics

1 answer:

KatRina [158]3 years ago

4 0

Answer:

4a. See attached.

4b. 32

6. x = 4.5, LM = 7.5, LN = 10.5

Step-by-step explanation:

4b. The midline of a triangle is half the length of the baseline it is parallel to. Hence the segment FH is twice the length of CD, or 2·16 = 32.

___

6. The angle bisector MP divides the triangles segments so those on one side of it are proportional to corresponding ones on the other side of it. Here, that means ...

x/(x+3) = 6/10

10x = 6x + 18 . . . . multiply by 10(x+3)

4x = 18 . . . . . . . . . subtract 6x

x = 4.5 . . . . . . . . . divide by 4

Then segment LM is x+3 = 4.5+3 = 7.5, and LN = x+6 = 4.5+6 = 10.5.

The blanks are filled as ...

x = 4.5 LM = 7.5 LN = 10.5

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