Question

Please help i wil reward!!!!!!!!!!!!!!!!!
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 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. 28:40 = Corresponding sides of similar triangles are in proportion

Which of the following can she use to complete statement 5?
x:15
x:(x + 15)
28:15
28:(x + 15)

Answer 1

Answer: The Answer is

48 over 48+36

Step-by-step explanation:

Let me draw this triangle for you as you haven't drawn the triangle.

To find the side SR , you have shown that

ΔPST ~(is similar to)ΔPRQ [AA]

As, you know when triangles are similar their sides are proportional.

So,

You can solve this question using other way also

As, ST║RQ

then ⇒  [ if in a triangle a line is parallel to a side

intersecting the other two sides in distinct points then the ratio of the segments where the line segment intersects the other two sides are same.]

Answer 2

Answer:

x+15=28 +12

Step-by-step explanation: