MATH SOLVE

4 months ago

Q:
# please help number 4 and 6

Accepted Solution

A:

Answer: 4a. See attached. 4b. 32 6. x = 4.5, LM = 7.5, LN = 10.5Step-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 4Then 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