- Prove the following statement: If both pairs of opposite sides of a quadrilateral are parallel, then they are also congruent. K Given: SK || NR; SN || KR Prove: SK = NR; SN = KR Prove the converse of the statement in 3 R Exercise 5: If both pairs of opposite sides of a quadrilateral are congruent, then they are also parallel. N Given: SK = NR; SN = KR Prove: SK || NR; SN || KR

Q: Complete the two-column proof. Given: a || Prove: 42 27 Statements Reasons 1. a || b 1. Given 2. m26…

A:

Q: Given: ZDEF is comp. to ZHEF. Conclusion:

A: We will find the conclusion as following.

Q: Given: ADCE AD EC BC HD C E BC || DH Prove: A= kE A H.

A: Given : AD ≅ ECBC ≅ HD BC∥DH

Q: Try salving this linear Diophandine Caquatians in d 3 roriables, 2*+34+42=5 6x +2 +512

A: Given equations are  2x+3y+4z=5            i6x+24y+51z=44          (ii) Multiplying eq. (i) by 51…

Q: gas station stands at the intersection of a north-south and east-west road. A police car is…

A: GivenThe police car is traveling at 100mph towards the gas station from the east.The stolen truck is…

Q: P- O In the given diagram lines P and L are parallel. Prove a+b =c a il

A: Given the diagram is

Q: Let p and q be points in R³, then p-q ≤||p||||||- = Hint: (a1, a2, a3) - (b₁,b2, b3) = a₁b₁ + a2b₂+…

A: Let p=p1,p2,p3 and q=q1,q2,q3 Angle between p and q is θ Dot product of p and q…

Q: Q/ Determine rex) so that y-e the eguation ( D+X)LD+rex)]y<o é will be Rsolution

A: D+xD+rxy=0⇒D2+xD+rD+xry=0                         1 As y=ex is a solution . So, it'll satisfy (1)…

Q: For which nonlinear system of equations is (2,6) a solution ? y = x2 + 4x – 2 - y = -3x – 2 |y = x?…

A:

Q: "If AABC having vertices A (acoso, a sim 0₁), B (a caso₂, acimo ₂) and c(acaso, a sm O₂) is…

A:

Q: O D 6. If ADEF has the perpendicular bisectors DG, EH, and FI and circumcenter J, which statements…

A:

Q: QUESTION 9 Which of the following is the hypothesis in the statement "Two distinct planes intersect…

A: Given statement is ' Two distict planes intersect exactly at one point '. (.) Hypothesis :…

Q: A partial proof was constructed given that MNOP is a parallelogram. Which statement should fill in…

A:

Q: Given: AB <CD Prove: AC=BD А В С B CD, STATEMENT REASONS ВС-ВС 2. Given Reflexive Property 3. AB <…

A: Given, AB&lt;CD To prove AC=BD This is proved using the geometrical identity.

Q: In the figure, I|| m and linet is a transversal of lines l and m. s/6 87 1/2 4/3 Which of the…

A:

Q: Use the given information to prove that ADEF ADGF.

A: We need to find out the reason and complete the proof .

Q: a) SST represents the b) SSTr represents the c) SSE represents the sum of squares. sum of squares.…

A: In ANOVA F=MStrMSE

Q: 2. Given: AB bisects ZRAN. Prove: x 75 2x-75 Statements Reason AB bisects LRAN ZRAB ZBAN X = 2x - 75…

A:

Q: K, is planar . K3,10 is not planar . K23 is not planar -. K7 is planar

A:

Q: Determine the truth or falsity of each statement below. Give an example or a counter example. i) 3y…

A:

Q: 24 cm 25 cm 24 cm △ STU 쓸 △ WXY 17 cm Y. lw O The two triangles are congruent by Side-Angle-Side…

A: Given query is to find that triany are congruent or not.

Q: oSave Save the equatlon x+ Sx+ 6=0 by factoning bl completing the Square c) the quadratic formala

A: The solution of the given quadratic equation is obtained by all the three methods in the steps…

Q: Let A = [2 [2 B = 0 3 C = Ls : 1: Find, if possible: 3 and C = [4 a.) АВ b.) BA с.) 2A -3С

A: A=3-1-22, B=2-10340,C=02-54a)-ABTo find the product of matrices AB As we know that if the dimensions…

Q: 7. Write as mathematical sentences. a.) Eight less than ten is two. b.) Seven is an odd number. c.)…

A:

Q: 5) Prove by induction on n7 6 that a square Can be decomposel into n subsgueres (of poosibly…

A: For any n≥6, it is possible to divide a square into n squares.

Q: Which of the following has an irrational principal root? a) 16 b) 25 c) 35 d) 49

A: Given: Which of the following has an irrational principal root? a) 16 b) 25 c) 35 d) 49