Consider triangle PQR with line segment ST parallel to line segment QR. R The table shows a proof that line segment ST, parallel to line segment QR, divides the sides of the triangle proportionally. Step Statement Reason 1 ST I QR 1. Given 2 LP LP 2. Reflexive Property 3 ZPST = LPQR, and ZPTS E LPRQ 3. 4 APST is similar to APQR. 4. AA similarity PQ PR 5. PS PT 6. Substitution; Sis a point on the line segment PQ, and Tis a point on the line segment PR. PS + SQ PT + TR %3D PS PT SQ = 1 + PS TR 1+ 7. Separating the parts of the numerators PT sQ_ TR PS PT 8. Subtracting 1 from both sides

Q: For # 1-5, EF bisects ZDEG. (The diagram is not drawn to scale.) 1. If mZDEG=88, find mZFEG = 2. If…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Suppose that the point P can be placed anywhere on the line segment AB in order to change the angle,…

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Q: What is the distance of AB? 4 -5 -4 -3 -2 3 4 5 -3B -4 O A. OC. 4 units 2/13 B. 16 units O D. /58

A: Distance formula

Q: 212. Consider points A (2, −3, 4), B (0, 1, 2), and C(−1,2,0). a. Find the area of parallelogram…

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Q: 9. Find the exact distance between the line 6x – y = -3 and the point (6,2). Show your work. Explain…

A: Note: There are many questions in the above picture. So I will answer the first question and please…

Q: C(9, 10) Bell Ave. B (1, 4).

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Q: Find the distance of segments AB? What is the midpoint of the segment AB ? What is the distance of…

A: Distance formula d=(x2-x1)2+(y2-y1)2Mid point formula(x,y)=x1+x22,y1+y22

Q: Draw a blue ray from the pole to point O and consider the ray as 'positive' radius. Now, change…

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Q: Find [2² x²z ds, where C is the line segment from (0,3,-3) to (-5,1,-9)

A: ∫Cx2z ds C is the line segment from 0,3,-3 to -5,1,-9

Q: 12. 10

A: Solution: It is a square

Q: You u are gIven that land 23arevertical angles with mLl =(4x-14)°andm3%35%0 what is the value ofx?…

A: Just I have used the definition of Vertical angle and then using it solved for x. x=18°