4. In this figure, lines a and b are intersected by line t.

Q: For each statement, determine whether it true or false, and justify your answer. a) In R³ if two…

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Q: -4 ----- () 8 and w= 5 I 5 vand ware perpendicular. Determine a I=

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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: If the straight lines ax+by+c=0, bx+xy+a=0, cx+ay+b=0 are concurrent, then prove a'+b³+c³=3abc

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Q: 2.c) Which statement never applies to two straight lines in R2? A)They cut at a point. B)They are…

A: We have to tell which of the following 4 statements are true by considering two lines.

Q: 11a) Are the two lines parallel? Show work 4 (3, 2) -30] 2. (5,-1) 【け1.-B12 2

A: Given: Co-ordinates of line l1=(-3,0) and (3,2) Co-ordinates of line l2=(-1,-3) and (5,-1)

Q: Let a and m be real numbers, u = (1, a, 2, m, -3), and w = (2, а, 2, т, 3). Then the distance…

A: Let's find.

Q: Suppose that two lines are cut by a transversal in such a way that the pairs of corresponding angles…

A: If the transversal line N of two lines L and M, then formed angles ∠1 & ∠2 and ∠3 & ∠4 are…

Q: 2. Ifc = [m, n, 1] is perpendicular to both a = [4, 1, -2] and b = [2, -3, -8], find m and n.

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Q: If the straight lines ax + by + c=0, bx + cy+ a=0,x+ay+b =0 are concurrent, then prove that a +b+c'…

A: Given straight lines,  ax + by + c = 0 bx + cy + a = 0 cx + ay + b =0 The three straight lines are…

Q: % Edt & Create v e Share ... etermine if the lines are parallel, perpendicular, or neither. Oy= 5x-7…

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Q: 2. If u = (a, b, 1) is perpendicular to both = (5, 1, -2) and w=(3,-3, 6), find a and b.

A: given that vector u=(a,b,1) is perpendicular to v=(5,1,-2) and w=(3,-3,6)

Q: If ?1 is the line through ?(1,2,7) and ?(−2,3, −4) and ?2 is the line through ?(2, −1,4) and ?(5,7,…

A: Given that 1 is the line through (1, 2, 7) and (−2, 3, −4). So the direction ratio of line 1 is =…

Q: b a) In the figure, are a lines a, b, and c concurrent? (N b) If one exists, name the point of…

A: Concurrent: A number of lines are concurrent if they have exactly one point in common. Two or more…

Q: NC3,2)

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Q: line m and line k lie on the xy-coordinate plane, and line m is perpendicular to line k.  which of…

A: Given: Line m is perpendicular to line k on the x-y plane.

Q: 10 21 11) 11 +42 = 12) 277 +85= 13)71 - 300 =

A: Mixed Number :-  a number combination of a whole number and a fraction.

Q: → → If m= (2. 1. 5) and n = (3. 0. x) are perpendicular, then the value of x is

A: Solve the following

Q: Given the points O(0,0), A (-15, -9), and B(12,-20), are re OA and OBbperpendicular?

A: Given, O(0,0) , A(-15,-9) and B(12,-20)

Q: Use the diagram below to answer the question that follows. в E If AB is parallel to CD, which of the…

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Q: 36. Given two points A(-2,4) and B(x,-8), what must be the value of x so that a line passing through…

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Q: Prove that a line cannot contain three distinct points.

A: We prove that a line cannot contain three distinct points by method of contradiction.

Q: Prove that quadrilateral EFGH is a parallelogram

A: Step 1: **Given Information : *** The parallelogram we have is UVWX. The midpoints of each of the…

Q: Line A: y = -1 Line B: y = x+7 Line C: y = 2x + 4 5 Line D: y = Which lines are perpendicular? A) A…

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Q: 1/2 3/4 5/6 7/8 If lines a and b are parallel, which of the statements is true? A) B) mZ1 mZ7 m DJ…

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Q: 1 Line A: y = x+ 2 Line B: y = Line C: y = -2x + 4 Line D: y = 5 + 4 Which lines are perpendicular?…

A: