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Analyze the diagram below and complete the instructions that follow.

If BA is a midsegment of AXYZ, find x.
A. 5
B. 6
C. 10
D 12

Analyze the diagram below and complete the instructions that follow If BA is a midsegment of AXYZ find x A 5 B 6 C 10 D 12 class=

Respuesta :

Answer:  B) 6

Explanation:

Since AB is the midsegment, this means AB is half as long as YZ.

Put another way, YZ is twice as long as AB.

So,

2*AB = YZ

2*(x-1) = 10

x-1 = 10/2

x-1 = 5

x = 5+1

x = 6

If BA is the midsegment of ΔXYZ, the value of x is 6

Midsegment

Midsegment is the line segment connecting the midpoints of two sides of a triangle.

Using the triangle Midsegment Theorem,

AB = 1 / 2 YZ

AB = 1 / 2 (10)  

x - 1  =  5

add 1 to both sides of the equation

x - 1 + 1 = 5 + 1

x = 6

Therefore, If BA is the midsegment of ΔXYZ, the value of x is 6

learn more on mid segment here: https://brainly.com/question/2501408

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