Point V is on line segment \overline{UW}
UW
. Given VW=5x-4,VW=5x−4, UV=2x,UV=2x, and UW=5x,UW=5x, determine the numerical length of \overline{VW}.
VW
.

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Answer:

Vw=6

Step-by-step explanation:

The numerical length of VW is 16 units.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

For example 12 -2 = 10

Given VW = 5x-4,

VW = 5x−4,

UV = 2x, and

UW = 5x,

By segment addition postulate:  UV + VW = UW

Substituting expressions given for each:

⇒ 2x + 5x − 4 = 5x

⇒ 2x = 4

⇒ x = 4

So, VW = 5(4) - 4

VW = 20 - 4

VW = 16

Hence, the numerical length of VW is 16 units.

Learn more about the arithmetic operations here:

brainly.com/question/25834626

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