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ASAP!!!!
Look at the link:
Nora is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 45: Statement Reason
1. Segment ST is parallel to segment RQ. Given
2. Angle QRS is congruent to angle TSP. Corresponding angles formed by parallel lines and their transversal are congruent.
3. Angle SPT is congruent to angle RPQ. Reflexive property of angles
4. Triangle SPT is similar to triangle RPQ. Angle-Angle Similarity Postulate 5. ? Corresponding sides of similar triangles are in proportion.
Which equation can she use as statement 5?
60:x = 48:(48 + 36) 60 + x = 48 + 36 60 − x = 48 − 36 60:(60 + x) = 48:(48 + 36)

ASAPLook at the linkNora is writing statements as shown below to prove that if segment ST is parallel to segment RQ then x 45 Statement Reason 1 Segment ST is p class=

Respuesta :

Answer:

The value of x is 45

Step-by-step explanation:

Statement 1: Segment ST is parallel to segment RQ.      

Reason: Given

Statement 2: Angle QRS is congruent to angle TSP.

Reason : Corresponding angles formed by parallel lines and their transversal are congruent.

Statement 3: Angle SPT is congruent to angle RPQ.

Reason:  Reflexive property of angles

Statement 4: Triangle SPT is similar to triangle RPQ.

Reason: Angle-Angle Similarity Postulate

So, ΔSPT≈ΔRPQ

5. Corresponding sides of similar triangles are in proportion.

[tex]\frac{SP}{PR}=\frac{PT}{PQ}\\\frac{60}{60+x}=\frac{48}{48+36}\\60(48+36)=48(60+x)\\5040=2880+48x\\5040-2880=48x\\2160=48x\\\frac{2160}{48}=x\\45=x[/tex]

Hence The value of x is 45

mochibabes

Answer:

60:(60 + x) = 48:(48 + 36)

Step-by-step explanation:

I got it right on the test :)

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