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Mathematics, 03.12.2020 22:50 nevaehkb

Look at the figure shown below: A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line.

Patricia is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 35.

StatementReason
1.Segment ST is parallel to segment QRGiven
2.Angle QRT is congruent to angle STPCorresponding angles formed by parallel lines and their transversal are congruent
3.Angle SPT is congruent to angle QPRReflexive property of angles
4.Triangle SPT is similar to triangle QPRAngle-Angle Similarity Postulate
5.28:40 =Corresponding sides of similar triangles are in proportion
Which of the following can she use to complete statement 5? (1 point)

x:15

x:(x + 15)

28:15

28:(x + 15)

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Answers: 3

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