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

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: MO and PR are parallel lines.

A:

Q: If m23 = 105°, what is the m/21 that will prove that lines p and r are parallel? %3D 12 56 4/3 8 7…

A: Given: m∠3=105° To find m∠21 such that line p and r are parallel. Solution: If line p and q are…

Q: 24 Lines in the same plane that intersect and form right angles are called perpendicular lines. True…

A: In this question we are asked that  There are lines in plane that intersect at right angles. Do they…

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

A:

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: Which of the following pairs of lines are perpendicular? Select all that apply.

A: For equation of line :y=mx+c slope = m   if two lines are perpendicular then  multiplication of…

Q: All lines are either parallel or perpendicular. O True O False

A:

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: In Exercises 2 and 3, determine which lines, if any, must be parallel. Explain your reasoning by…

A: See the figure and angle notation

Q: What value of x would prove that lines /and m are parallel? (5x + 3) (9x-33)

A: For lines l and m to be parallel, The sum of internal angles made by intersecting line is 180°.

Q: Determine whether the statement is always, sometimes, or never true. Two lines in parallel planes…

A:

Q: In the diagram, EF and AB are parallel. Line CD is a transversal.

A: Given that: EF||AB and CD is a transversal line.

Q: which lines are parallel

A:

Q: here is astraight line Pasrsing through the Points ACI, o, -1). BCo.1.0),c(-1,2,1) true

A:

Q: 28. Which lines if any are parallel? Explain why they are or are not. 31 32

A: Answer and explanation is given below

Q: The two lines are perpendicular: O True O False

A:

Q: 1. Which statement would not prove lines m and n parallel? 157° /h c/ g b/f a/e n. In the image, Zb…

A:

Q: Use the given information to prove that a || c. You are not allowed to use the Transitive Property…

A:

Q: Determine if I || m based on the information given on the diagram. If yes, state the converse that…

A: Note: There are multiple questions. No specific question has been asked. So, We will solve the first…

Q: If A, B, C and C`are constants, show that: (a) the lines: Ах + By + C%3 0 Ах + By + C' 3 0 are…

A:

Q: What is the statement for #3? Given: Line I is an auxiliary line parallel to m Prove: m/ 2+m2 4 + mZ…

A: Alternate Interior Angles Theorem : If two parallel lines are cut by transversal, then the pairs of…

Q: Which of the following steps are necessary to construct a parallel line through a point not on the…

A:

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

A:

Q: Three or more lines are _____ if theey all intersect at only one point a. Intersecting b. Parallelc.…

A: Three or more lines are concurrent if they all intersect at only one point.

Q: Suppose that two lines Re((1+i)z+2i+3) = 0 and Re(2-bi)z+5) perpendicular. then b=. 0 are ||

A: We will convert the equation into cartesian form and then use condition for perpendicular lines

Q: 1) If OQ and RT are parallel lines and 2QPS = 77°, what is TSU? %3D A) 73° B) 77° 93° D) 103°

A:

Q: Determine whether the lines (1,1,1)+ t(1,2,-1), and (3,2,1)+(-1,-5,3) are parallel, intersect, or…

A:

Q: Which congruent angles can prove that lines L and M are parallel? L- 3 4 5 6 78 A. 2 and 1 B. 4 and…

A:

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: Given the following information, determine which lines, if any, are parallel. State the postulate or…

A: The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal…

Q: Does the relation "is perpendicular to" have a reflexive prop- erty (consider line €)? A symmetric…

A: A relation R is said to be reflexive if is related to itself that is aRa, relation R is said to be…

Q: Which lines are parallel? (Check all that apply) O y = -4x -9 O y =-4x + 5 Oy = 4x + 5 %3D +5

A:

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: Consider the figure, where transversals s and intersect parallel lines m and n 51 and 72 What is the…

A: Opposite angles a intersecting lines are equal. Sum of angles in a triangle is 180 degrees.

Q: In the diagram shown determine whether you can prove that lines /and m are parallel. If paralel,…

A: The given diagram is : If two line intersect to each other, then their vertically opposite angles…

Q: 1. IN EACH CASE STATE WHETHER THE LINES ARE PARALLEL OR NOT GIVE REASONS FOR YOUR STATEMENT: 41 80 F…

A:

Q: Determine whether the lines 2x + 5y =7 and 5x +2y =2 are perpendicular true or false

A: Compare the equations with standard equation  y=mx+c

Q: Which statement is the most precise and correct definition of parallel lines? Two lines are parallel…

A: Given: Few sentences are given for the definition of parallel lines.  To find: We have to pick the…

Q: Determine whether the given lines are parallel. y = 2x + 3 бх — Зу %3D 4 Yes, they are parallel. No,…

A: Explanation of the solution is given below...

Q: Which supplementary angles can prove that lines L and M are parallel? 3 4 5 6 7 8 M- A. 7 and 8 B. 4…

A:

Q: Prove that, if two lines are parallel to a third line, then the lines are parallel to each other

A: Consider the following figure.

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

A:

Q: Use the given information to decide which lines are parallel. Justify your answers with a theorem or…

A:

Q: In Exercises 2 and 3, determine which lines, if any, must be parallel. Explain your reasoning by…

A: 2) l and m are parallel  n and p are parallel

Q: Using only the diagram, you can be certain that lines a and b are parallel. O True O False

A: False Sufficient information is not given to say that line a and b are parallel. Line b is…

Q: 6. Lines pand y are intersected by transversal as shown What value of x proves that lines p and q…

A: Lines p and q are intersected by transversal t.

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.…

Q: Which supplementary angles can prove that lines L and M are parallel? L- 3 4 5 6 7 8 M- A. 1 and 7…

A: To determine: The supplementary angles can prove the lines L and M are parallel. Explanation by…