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Chapter 2: Q6 (page 49)

Use the conditional: If AB炉and CD炉intersect, then AB鈫�and CD鈫�intersect.

Point M is the midpoint of RT炉鈰�RM=x, and RT=4x鈭�6. Find the value of x.

Short Answer

Expert verified

The number 3 represents the required value.

Step by step solution

01

Step 1. Observe the given information.

The provided information represents that the point M represents itself as the midpoint of RT炉.

02

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.

RM=12RT

03

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=124x鈭�6

x=2x鈭�3

x=3

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Most popular questions from this chapter

Tell whether each statement is true or false. Then write converse and tell whether it is true or false.

Statement: If x=鈭�6,thenx=6.

Justify each step.

15y+7=12鈭�20y

35y+7=12

35y=5

y=17

Justify each statement with a property from algebra or property of congruence.

If z5=10then z=50.

Justify each step.

x鈭�2=2x+85

5x鈭�2=2x+8

5x鈭�10=2x+8

3x鈭�10=8

3x=18

x=6

State the number that is paired with the bisector of 鈭�CDE.
See all solutions

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