The intersection of plane A and plane S will be The intersection of lines n and k is W A x, Point X is the intersection of V. B k ER

Q: Given two lines in space, either they are parallel or they intersect each other or they are skew? If…

A: Standard form of the equation of the line is (a+bt,c+dt,e+ft), where t is a parametric variable and…

Q: the following diagram, two parallel lines are cut by a transversal. 1 4. 8. The measure of which…

A:

Q: Find a and b such that the lines r1 = (1, 2, 1) + t(1, −1, 1)andr2 = (3, −1, 1) + t(a, b, −2) are…

A: Given: r1=1,2,1+t1,-1,1 r2=3,-1,1+ta,b,-2 r1 and r2are parallel only if a1=b-1=-21

Q: Are the lines parallel, perpendicular or neither. Show work. 4 ソ=ーx+2 3. 3x+4y = 4 %3D %3D

A:

Q: In Cartesian space, the point form of a line is e: (x, y, z) = (2 + r, -3 + 2r, 5 – 5r). - 3. a)…

A: Given: The point form of a line is l:x,y,z=2+r,-3+2r,5-5r. Calculation: (a) It is observed from the…

Q: LOok at this dlagram: K. H. N' M. If HJ and KM are parallel lines and MJIL 66°, what is mIG? %3D

A:

Q: Given lines m and n cut by a transversal below, for what value of x will m be parallel to n? (1) 7…

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Q: e lines that would be parallel a is 22 - 27, 23. (9,17) ( -12, 7) Parallel: Perpendicular:

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Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠3 = 126°, what is m∠5?

A: The pairs of angles on one side of the transversal but inside the two lines are called Consecutive…

Q: Are lines m, and m, perpendicular? Explain. (0, 1) 4-3) m (2,-4) +1,-5)

A: We will solve the following

Q: D is the midpoint of line ce. C has coordinates (10,3), and D has coordinates (-9,-15). Find the…

A: D is the midpoint of the line CE. C has coordinates (10,3), and D has coordinates (-9,-15). We need…

Q: Lines e and m are intersected by transversal t. e || m. 1/3 2/4 5/7 6/8 If m23 = 78°, what is ma6?…

A: We can use concept of angle in order to solve the given problem.

Q: Which of the following is the correct definition for perpendicular lines? O Lines that intersect and…

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Q: 1. Look at this diagram: R U If PR and SU are parallel lines and mPQO = 111°, what is mZRQT? Explain…

A: We have to find the value of m<RQT where PR↔ and SU↔ are parallel lines and m<PQO=111° We…

Q: Write an indirect proof in paragraph form.

A: Given: m∠1≠m∠2

Q: 2) Determine whether the lines 1: x = 1+ 2t, y = 3t, z = 2 – t and l2 : x = -1+ s, y = 4 + s, z…

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Q: Find the value of a that makes lines u and v parallel. 70° 14+12x v 10

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Q: Label the follwing lines as parallel, perpendicular, or neither to the line y = 2x - 4 2x + 4y = -12…

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Q: Find the value of x that makes lines a and b parallel. O13 O 7 06 O 10 12x-4 10x + 10 a b

A: Ans : x=7  For detail explanation...go through the solution ...I have solved step by step in detail

Q: Lines a, b, c, and d are distinct lines in the same plane. Decide if lines a and d are parallel,…

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Q: Show that the two lines メ=I+4と X = 2+8t and 9= 5-4t Z: -1+ SE 3= 4- 36 2: 5+t skew Rind the distance…

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Q: In Cartesian space, the point form of a line is e: (x, y, 2) = (2 + r, -3 + 2r, 5 5r). a) Find the…

A: In cartesian space, the point form of a line is  l : (x, y, z) = (2+r, -3+2r, 5-5r).   a) Find the…

Q: Determine the point of intersection of the lines γ1 : ¯r1(t) = ⟨3, 2, 1⟩ + t⟨1, 0, 1⟩ and γ2 :…

A: First let's suppose both line are intersecting each other so, r1 = r2 then solve for t and s.

Q: Lines q, r, s, and t are distinct lines in the same plane. Decide if lines q andt are parallel,…

A: Given:-   Lines q, r, s, and t are distinct lines in the same plane. Decide if lines q and t are…

Q: Find the value of x that makes lines u and v parallel. 8) 9) x+ 62 7x+4 125° 60

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Q: Find the point of intersection of the pair of lines if it exists. (If an answer does not exist,…

A: Solve the both equation

Q: Let point A = (m,n) and point B = (x,y). If A and B lie in one horizontal line and B is to the right…

A:

Q: Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)? OA ya-s 3 y =…

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Q: If lines B and C are parallel and mz1 = x°, then mz5 = A 3. 5/6 7. 4. B 8. O 90° O 180° - x° O 9° –…

A: Vvvvvv

Q: Hannah wanted to construct a line passing through J that is parallel to the line GH. Laena…

A: We are going to solve

Q: Look at this diagram: D E C %3D If DF and GI are parallel lines and mzGHJ = 67°, what is mZDEH?…

A: Given query is to find the value of angle DEH.

Q: Which of the lines x – y + 3 = 0 and x – 4y –7= 0 is father from the origin? -

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Look at this diagram: E F If DF and GI are parallel lines and mZFEH = 128°, what is MZIHJ? %3D Of…

A:

Q: ind the point of intersection for the lines v(t) = (-5, - 8, -6)t + (− 1, 3, 1) and (u) = (6, 6, 2)u…

A: First we find value of parameters u and t .

Q: Two parallel lines are cut by a transversal as shown below. Suppose m Z8 = 48°. Find m Z1 and m Z3.…

A: We can use the concept of parallel lines in order to solve the given problem .

Q: 7. Are the lines 3x - y 6 and y 3x +5 parallel, perpendicular or neither? %3D Parallel O…

A: Given equations are 3x-y=6 and y=3x+5 For line equation 1 3x-y=6 3x=6+y y=3x-6 by comparing with…

Q: 20. Consider lines €1 and l2. l1 : [x, y] = [1, 4] + [[-7, 2] l2 : [x, y] = [-2, 6] + t[k, 9] a) For…

A: We know that two lines are parallel if their slope are equal and perpendicular if the product of…

Q: a) Name two lines that are parallel b) name two lines that are perpendicular M K S to

A: A) For parallel lines

Q: Find the value of x that makes lines u and v parallel. 1) 80° x+104 А) -9 C) 5 В) -4 D) 4

A: When 2 parallel lines are cut by a transverse line , then pair of alternate interior angles are…

Q: 1. Determine the values of x and y so that lines m and k will be parallel. x= Sy +2 y3= Зх - 20°…

A: Here the angles of measure 3x-20°,5x+8° are the angles on a straight line and thus they add up to…

Q: Name the intersection of lines r and s. S D A В N C O point B O BD O AB O plane N

A: Given the figure. We have given the name to the intersection of the line r and s.

Q: Lines L andM are parallel. 3. 4 2. 1/6 38 7 Find : mz6

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Q: Use the diagram shown. 1 2. 3 4 6. 7. 8. Suppose m23 = 5x + 11 and m25 = 16x + 1. What must the…

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Q: 6. Are the lines y 7x + 2 and x + ty = 8 parallel, perpendicular or neither? * %3D Parallel O…

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Q: Which of the following represents two lines that are coplanar and do not intersect? (A Perpendicular…

A: Given that Two line that are coplanar and do not intersect

Q: 4. Determine the intersection of lines:L,:= = and Lz X=Y-1=2 11 >\J

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Q: Use the figure below and the given information to determine if lines m and n parallel. Figure not…

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Q: Explain why the lines below intersect. l1: (x, y, z) = (2, 3, 4) + n(1, 2, – 3) and l2: (x, y, z) =…

A: Given : Vector equation of the line l1 : x, y, z=2, 3, 4+n1, 2, -3 Vector equation of the line l2 :…

Q: Given ∡ 2 + ∡ 3 = 180°∡ 2 + ∡ 3 = 180°, which theorem proves the lines r and s parallel.

A: If two parallel lines are cut by a transversal, then same side interior angles are supplementary.…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.