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Applying the Segment Addition Postulate
Point B lies between points A and C on AC. Let x
represent the length of segment AB in inches.
A
B
3x
Use the segment to complete the statements.
The value of x is v.
The length of AR in inches is
✓x
C
The length of BC in inches is
20 inches
Intro

Applying the Segment Addition Postulate Point B lies between points A and C on AC Let x represent the length of segment AB in inches A B 3x Use the segment to c class=

Respuesta :

Answer:

x = 5, AB=5, BC = 15

Step-by-step explanation:

AC = AB + BC (Segment Addition)

AC= 20, AB =x Bc = 3x,

20= x+3x 20=4x

x=5

AB=x, AB =5

BC=3x BC= 15

The segment addition postulate states gives the value of x as 5, given

that the sum of x and 3·x is 20.

Responses:

  • The value of x is 5
  • The length of [tex]\overline{AB}[/tex] is 5 inches
  • The length of [tex]\overline{BC}[/tex] is 15 inches

How does segment addition postulate give the value of x?

From the given diagram, we have;

[tex]\overline{AB}[/tex] = x

[tex]\overline{BC}[/tex] = 3·x

According to segment addition postulate we have;

[tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] = [tex]\overline{AC}[/tex] = 20 inches

Which gives;

x + 3·x = 20

Therefore;

4·x = 20

[tex]x = \dfrac{20}{4} = 5[/tex]

  • The value of x is 5
  • The length of [tex]\overline{AB}[/tex] is 5 inches

[tex]\mathbf{\overline{BC}}[/tex] = 3·x  

[tex]\mathbf{\overline{BC}}[/tex] = 3 × 5 = 15

  • The length of [tex]\overline{BC}[/tex] is 15 inches

Learn more about segment addition postulate here:

https://brainly.com/question/1397818

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