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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

3. Measuring Segments

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Exercise 22 Page 24

Lines PT and TQ are congruent.

PT = 130

Practice makes perfect

We know that PT is congruent to TQ because they have matching tick-marks.

Since PT and TQ are congruent, the expressions for their lengths must be equal. We can set the two expressions equal to one another and solve for x.

7x-24=6x-2

LHS-6x=RHS-6x

x-24=- 2

LHS+24=RHS+24

x=22

The length of PT is given by 7x-24. We can substitute 22 for x to find PT.

PT=7x-24

x= 22

PT=7( 22)-24

Multiply

PT=154-24

Subtract term

PT=130

Subchapter links

Lesson Check p.23

Practice and Problem-Solving Exercises p.24-25

Standardized Test Prep p.26

Mixed Review p.26