Chapter 2: Q6 (page 49)

Use the conditional: If $\bar{A B}$ and $\bar{C D}$ intersect, then $\vec{A B}$ and $\vec{C D}$ intersect.
Point M is the midpoint of $\bar{R T} \cdot R M = x$ , and $R T = 4 x - 6$ . Find the value of x.

Short Answer

Expert verified

The number 3 represents the required value.

Step by step solution

Step 1. Observe the given information.

The provided information represents that the point M represents itself as the midpoint of $\bar{R T}$ .

Step 2. Make an equation to determine the value of x.

The midpoint theorem can be used to determine the value of x. So, by using this make an equation.

$R M = \frac{1}{2} R T$

Step 3. Determine the value of x.

Substitute the given value of RM and RT into the obtained equation after it performs the simplification.

$x = \frac{1}{2} (4 x - 6)$

$x = 2 x - 3$

$x = 3$

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Use the conditional: If $\bar{A B}$ and $\bar{C D}$ intersect, then $\vec{A B}$ and $\vec{C D}$ intersect.
Point M is the midpoint of $\bar{R T} \cdot R M = x$ , and $R T = 4 x - 6$ . Find the value of x.

Short Answer

Step by step solution

Step 1. Observe the given information.

Step 2. Make an equation to determine the value of x.

Step 3. Determine the value of x.

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Use the conditional: If AB¯and CD¯intersect, then AB→and CD→intersect.Point M is the midpoint of RT¯⋅RM=x, and RT=4x−6. Find the value of x.

Short Answer

Step by step solution

Step 1. Observe the given information.

Step 2. Make an equation to determine the value of x.

Step 3. Determine the value of x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Discrete Mathematics

Calculus

Theoretical and Mathematical Physics

Decision Maths

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Use the conditional: If $\bar{A B}$ and $\bar{C D}$ intersect, then $\vec{A B}$ and $\vec{C D}$ intersect.
Point M is the midpoint of $\bar{R T} \cdot R M = x$ , and $R T = 4 x - 6$ . Find the value of x.