In the diagram below of triangle TUV, W is a midpoint of TU and X is a midpoint of UV. IfWX = 23 – 2x, and TV = 64 – 10x, what is the measure of TV?
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Step-by-step explanation:

WX = 23 – 2x,

TV = 64 – 10x,

First, create an equation you will use to find the value of x.

Thus:

(midsegment theorem of a ∆)

(substitution)

Multiply both sides by 2

Collect like terms

Divide both sides by -6

Find TV:

Plug in the value of x

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5