subject
Mathematics, 15.12.2020 21:00 mgrvashvi6698

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. The length of PS is equal to 28, the length of SQ is equal to 12, the length of PT is equal to x, and the length of TR is equal to 15.

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

Statement Reason
1. Segment ST is parallel to segment QR. Given
2. Angle QRT is congruent to angle STP. Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle QPR. Reflexive property of angles
4. Triangle SPT is similar to triangle QPR. Angle-Angle Similarity Postulate
5. ? Corresponding sides of similar triangles are in proportion.

Which equation can she use as statement 5?
x:15 = 28:40
28:12 = x:(x + 15 )
x + 15 = 28 + 12
28:40 = x:(x + 15)

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 15:30
Find the perimeter of the figure shown above. a. 50 cm c. 30 cm b. 64 cm d. 60 cm select the best answer from the choices provided a b c d
Answers: 1
question
Mathematics, 21.06.2019 20:30
Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?
Answers: 2
question
Mathematics, 21.06.2019 23:00
If i purchase a product for $79.99 and two accessories for 9.99 and 7.00 how much will i owe after taxes applies 8.75%
Answers: 2
question
Mathematics, 21.06.2019 23:30
Segment wx is shown explain how you would construct a perpendicular bisector of wx using a compass and a straightedge
Answers: 1
You know the right answer?
Look at the figure shown below: A triangle RPQ is shown. S is a point on side PQ, and T is a point...
Questions
question
Mathematics, 13.11.2020 18:10
question
Mathematics, 13.11.2020 18:10
question
Mathematics, 13.11.2020 18:10
question
Social Studies, 13.11.2020 18:10
Questions on the website: 13722367