In the diagram below of triangle BCD, E is a midpoint of BC and F is a midpoint of CD. If EF = 44 - 8x, and BD = 44 - 5x, what is the measure of BD?

BD = 24

Step-by-step explanation:

EF = 44 - 8x,

BD = 44 - 5x.

Since EF is a midsegment of ∆BCD, therefore, based on the Midsegment Theorem,

Multiply both sides by 2

Collect like terms

Divide both sides by 11

x = 4

BD = 44 - 5x

Plug in the value of x

BD = 44 - 5(4) = 44 - 20

BD = 24

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.