Question

Look at the figure shown below:
P
25
S
12
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

Answer 1

Answer:

Option D

Step-by-step explanation:

Answer 2

The equation that can be used as statement 5 to prove that if segment ST is parallel to segment RQ, is:
"28:40 = x:(x+15) that is (Option D)

What is a Mathematical Statement?

A mathematical statement is a sentence that is either true or false but is depicted in a mathematical format using mathematical operators.

Note that although mathematical statements are either true or false, they cannot be both.

Learn more about mathematical statements at:
https://brainly.com/question/9048478

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