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Chapter 1: Q4. (page 28)

When RN=7,NC=3x+5 and RC=18, what is the value of x?

Short Answer

Expert verified

The value ofx is 2.

Step by step solution

01

Step 1. Write the Segment Addition Postulate.

The Segment Addition Postulate states that:

If a pointB lies between the pointsA andC then AB+BC=AC.

02

Step 2. Draw the diagram.

The given diagram is:

03

Step 3. Write the equation expressing the relation between RN, NC, and RC by using the Segment Addition Postulate.

From the given diagram it can be noticed that:

The pointN is lying between the pointsR and C.

Therefore, by using the segment addition postulate:

RN+NC=RC

04

Step 4. Substitute the values of RN, NC, and RC in the above equation.

RN+NC=RC7+3x+5=18

05

Step 5. Solve the above equation to find the value of x.

3x+12=183x=18-123x=6x=2

Therefore, the value ofx is 2.

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