Parallel lines €, and l2 have slopes m, and m2, respectively. Find m2 if m, equals: a) f + g b) - c) 3 d) h +j

Q: Based on the diagram, which statement is true? A m21 = mZ2 B m21 and m2 are vertical angles. m21 and…

A: A linear pair of angles have a sum of 180°. Thus, they are supplementary.

Q: Two parallel lines, m and n, are cut by transversal t, as shown in figure below. 1 /2 3/4 5 /6 7/8…

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Q: Is the statement "If a transversal is perpendicular to one of two parallel lines, then it is also…

A: Given statement is  "If a transversal is perpendicular to one of two parallel lines, then it is also…

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: For Exercises 14 and 15, draw a figure like the given one. Then construct the line that is…

A: Construction :- 1.Take a compass put it on point P and open the compass in a way that it covers…

Q: What is the first step in the construction of a perpendicular line from point P to line m?

A: The perpendicular is drawn by making an arc that cuts the line at two points.

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

A: We will solve the following

Q: For trapezoid RSTV, line segment RS is parallel to line segment VT, and line segment MN is the…

A: The trapezoid property are MN segment = (segment RS + segment VT )/2 MN=(38+62.6)/2 MN=50.3

Q: Given the quadrilateral ABCD with vertices A( -4, 5), fl(4, - 1), C(7, 3),and D(-l, 9). a. Use…

A: Given: We have given the points of the quadrilateral ABCD  A = (-4, 5)  ,  B =  (4,-1) ,  C = (7, 3)…

Q: Given that the standard from of a line is Ax +By =Upper C Upper B not equals 0 what is the slope of…

A: The given equation of straight line is

Q: Two lines that both have slopes of are parallel. O True O False

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: 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: Write an indirect proof in paragraph form.

A: Given: m∠1≠m∠2

Q: 8. Lines p and q are intersected by transversal t as shown. What value of x proves that linesp and q…

A: Follow the procedure given below.

Q: Are lines h and j perpendicular?

A:

Q: Evaluate |x ds, where C is a. the straight line segment x = t, y = 5, from (0,0) to (30,6)

A: Line integral is an integral where the function to be integrated is evaluated along a curve

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

A: Answer: ∠1 ≅∠3  .

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

A: Explanation and solutions is given below.....

Q: Line k is parallel to line l. ZEDC = 47° , and ZABC = 31° . Determine the measure of ZBCF. C B

A: Given  k∥l∠EDC=47∘∠ABC=31∘ To find:  ∠BCF

Q: 9) Given slope, find its perpendicular slope. Slopes of perpendiculæ lines are penitet.ciececalh of…

A: we know that, If two lines are perpendicular, then their product of slopes is equal to -1    m1×m2 =…

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…

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Q: given the points below, are line C and line D parallel, perpendicular, or neither?

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Q: Find the value of a that makes lines u and v parallel. 125 + x x+65 O -5 O 12

A: Solution

Q: Given lines l, m and n are all parallel and cut by two transversal lines, find the value of x. 8. m…

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: Lines that do not meet regardless of how far they are extended are called what type of line?

A: A line in geometry is a one dimensional straight figure without any thickness that extends between…

Q: Given lines l, m and n are all parallel and cut by two transversal lines, find the valu of x. 6. 13

A: To find the value of x

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: Consider points A, B, C, and D, no three of which are collin- ear. Using two points at a time (such…

A: Given information: A, B, C and D are four points in which no three points are collinear.…

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: Given lines with slopes m1 and m2, explain how you can tell whether the lines are (i) paralle, (ii)…

A: (i) The slope is the measure of the angle of a line from the horizontal. Since parallel lines must…

Q: In Exercises 28 and 29, (a) find the lengths of the sides of ARST, (b) use the converse of the…

A: NOTE*** As per bartleby guideline for more than one question asked only first is to be answered…

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: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O…

A: We will prove that the length of the common chord is the given term as following.

Q: For a four-point geometry, how many other lines of the geometry are parallel to each line?

A:

Q: D F OF and GI are parallel lines and mZDEH = 116°, %3D Submit

A: DF and GI are parallel line,

Q: Even though RT is not pictured, RT can be drawn as a line. m/ R S T O True O False

A:

Q: For Fano's geometry, prove that the lines through any one point of the geometry contain all the…

A: Given detail: For Fano's geometry, prove that the lines through any one point of the geometry…

Q: The line m has a slope of , where a and b are inte; chat is perpendicular to line m ? a a. с. a b.…

A: Given, the line m has a slope  of ab, where  a and b are integers.

Q: Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal.

A:

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: For trapezoid RSTV, line segment RS is parallel to line segment VT, and line segment MN is the…

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Q: Use an auxiliary line to find the measure of ZP, given that lines a and b are parallel. 540 270 a b…

A: the given figure after construction - Line FG parallel to AB and DC is the auxiliary line drawn in…

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: Two parallel lines are cut by a transversal as shown below. Suppose m L2 = 82°. Find m 5 and m Z8.…

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Q: Given that point Q does not lie on AB, construct the line through point Q that is parallel to AB. A…

A: NOTE- AS WE ARE ALLOWED TO SOLVE ONE QUESTION IN ONE SESSION, SO, I HAVE SOLVED FIRST QUESTION FOR…

Q: The three cevians in ΔABC are concurrent. What does concurrent mean with respect to lines?

A: Given that: Three cevians in ΔABC are concurrent.

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: Look at this diagram: If PR and SU are parallel lines and m/UTQ = 65°, what is mPQT?

A: