Suppose that points A, B, and C are collinear and AB>AC. Which point can you conclude cannot lie between the other two?

Q: A, B, and C are three points on a line. AC = 8, ВС %3 4, and AB = 12. Which point must be between…

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Q: In rhombus MATH, if ST = 3x + 3, and %3D MS =5x - 2. Find x.

A: Here given MAHT is a rhombus. ST=3x+3 MS=5x-2

Q: If AB = –7i + 3j + 8k and A is the point (-2, –3, 6), find B. %3D

A: Consider the given vector as AB→=-7i+3j+8k and point A-2,-3,6

Q: A, B, and C are collinear points: B is between A and C.  If AB = 3x + 4, BC = 4x - 1, and AC = 6x…

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Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

A: Here we will find the point which is one forth of the way between point A and point B,

Q: Define the points P(-4, 1), Q(3, -4), and R(2, 6).

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Q: The diagram shows the construction of the perpendicular bisector of AB. Which statement is NOT true?

A: Given, C is the mid point of AB  We have to identify the false statement.

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: Construct the perpendicular bisector of each. Must show all construction marks. 1) 2) 3) 4) 5)

A: To construct the perpendicular bisector to the line, Steps to find perpendicular bisector; Step 1:…

Q: A, B, and C are collinear points: B is between A and C.  If AB = 12, BC = 18, and AC = 3x, find x.

A: If A, B, and C are collinear points and B is Between A and C, then AB + BC = AC

Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

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Q: A(1, 1) and B(2, -3) are two points and D is a point on AB produced towards B such that AD3AB. Find…

A: Given problem:- A(1, 1) and B(2.-3) are two points and D is a point on AB produced towards B such…

Q: 2. Sketch the set of points determined by the condition (a) Re(7 - i) = 2; (b) |27 + i| = 4.

A: Use the value of z to simplify the given equations. Now solve them to their simplest form and then…

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: Given 3 points A(-14,-8), B(-9,-5) and C(1, 1). Prove that A, B and C are collinear.

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Q: What is the x-coordinate of every point that lies on avertical line through C?

A: The image shows the horizontal and the vertical lines.

Q: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

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Q: Given the diagram below, what conclusions can you make if M2CBY = 65° and line XY bisects LABC? 65°

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Q: Show that the following sets of points are collinear and find the equation of the line L containing…

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Q: A, B, and C are collinear points: C is between A and B. If AC = 2x + 1, CB = 3x - 1, and AB 35, find…

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Q: The midpoint of a segment can be found using the formulas for a directed line segment, x = (X2-X1) +…

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Q: Show that the midpoint of the line segment joining the points (a, b) and (c,d) is ((a + c)/2, (b +…

A: Mid point formula is:

Q: If V is the midpoint of UW and TX, which of the statements is true? W

A: Given : V is midpoint of UW⏜ and TX⏜.

Q: Describe with a sketch the sets of points (x, y, z) satisfying the following equations. (x + 1)(y -…

A: The given equation is x+1y-3=0. This implies that, x+1y-3=0x+1=0   or  y-3=0x=-1   or   y=3 Thus,…

Q: If Point S' is located at (-1, 4) which axis was IS -5 -4 -3 -2 1-1 1 2 4 5 6 -2 5. 2. 1.

A: Given that  the point (-1,4)  is located in co ordinate axis

Q: Consider the following pair of points. (9,−9) and (−5,9) Step 2 of 2: Determine the midpoint of…

A: Consider the provided points, 9,-9  and  -5,9 Determine the midpoint of the line segment joining the…

Q: Find the Cartesian equation of the locus of points satisfying PA + PB = 12, where A is the point…

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Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: A, B, and C are collinear points: C is the midpoint of AB.   If AC = 5x - 6 and  CB = 2x, find AB.

A: Collinear points are the points that are on the same line. Midpoint is a point that is exactly…

Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

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Q: Construct the line through C parallel to AB. A

A: The given triangle is △ABC. To draw a line passing through C and parallel to AB, Scribe an…

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: Indicate whether the statement is true or false. If B is the midpoint of line segment AC and AB =…

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Q: What can you conclude if you know that the point (p, q) lies on the line y = mx + b?

A: We have to conclude if the point p, q lies on the line y=mx+b. We know that if any point is lying on…

Q: If B is the midpoint of AC, which of the following must be true? I. AB+ BC = AC II. 2ВС - АС III. AB…

A: The given question is:

Q: If EFGH is a parallelogram whose diagonals meet at point X, then EX = XG and FX = XH . OTrue O False

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Q: Prove that the points A (2,15), B(1,6) and C(6,-9) are collinear.

A: To prove points are collinear find distances between every pair of two points and if any distance is…

Q: If point A is reflected over the y -axis and its original location was (2,3), where is its new…

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Q: If AB = –7i + 3j + 8k and A is the point (-2, –3, 6), find B.

A: To find the point B

Q: Which of the following mathematical models is used to determine the distance between two points…

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Q: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

A: To determine which point is three fourths of the way between point A and point B on the line segment…

Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

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Q: If point A is reflected over the y-axis and its original location was (2,3), where is its new…

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Q: Consider the two points defined as: (1/2,-3) and (-1/6,- 1/2).The distance between the points is:

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Q: Which pointis two fifths of the way between point A and point B on the line segment AB shown on the…

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Q: Show that the following sets of points are collinear and find the equation of line…

A: Three or more points are collinear, if slope of any two pairs of points is same. With three points…

Q: The letters A and B are topologically equivalent. True False

A: To determine the letters A and B are topologically equivalent or not

Q: Are the points A(2, – 3), B(5, 1), and C(-4, - 11) collinear?

A: Given:A2,-3 , B5,1 and C-4,-11 collinearAB=AC+BCd=x2-x12 + y2-y12

Q: Which point is two fifths of the way between point A and point B on the line segment AB shown on the…

A: Given query is to find the point at distance 2/5 from A.