A, B, and C are collinear points: B is between A and C.  If AB = 36, BC = 5x - 9, and AC = 54, find x.

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

A:

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: 2. Find the measure of AB if C is the midpoint of AB AC= 6x- 20, and CB = 4x -2. %3D

A: Here we are given measurement of two parts of a line . With the help of mid point , we will…

Q: 7) At the right is the top view of a Chemistry Butiding in UP Diliman. It resembles the famous…

A: The sum of a polygon's internal angles: The following formula is used to determine the sum of…

Q: 3. Prove that if P, Q, and R are three points on a line, then exactly one of the points is between…

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Q: 5.If A. B,and M are three collinear points,such that M clevides AB internally in the ratio 3:4 and a…

A: section formula for internal division  in vector form is OP→=nOP→+mOP→n+m According to the question,…

Q: The diagonals of square ABCD intersect at point E. If BE = 2x +1, and AC = 3(6x - 4), find BD. O 1 O…

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Q: ,A, B,C be 4 points in R², no three of which colinear. Fix A' e VA, B' e VB and C' e VC h that AB ||…

A: In the following question, concept of parallel line is applied. Parallel Line Parallel lines are…

Q: In AHIJ, mZH = (8x – 6)°, mZI = (2x – 4)°, and mZJ = (x – 8)°. Find %3D m/H.

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Q: Which of the following is NOT true about the following diagram? O Lines a and b appear to be…

A: Given figure :-

Q: For what value of K,the point (k,k) ,(2,3) and (4,-1) are collinear

A: k=7/3

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

A: Given that: A,B,C are collinear points C lies in between A and B

Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

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Q: If ON = 7x- 5, LM = 6x + 3, NM =x- 4, and OL = 2y + 5, find the values of x and y given that LMNOIS…

A: Here given as  LMNO is a parallelogram  And ON=7x-5, LM=6x+3, NM=x-4, OL=2y+5

Q: Quadrilateral EFGH is a rectangie. If mZFEG= 57, find mZGEH. %3D E K. H.

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Q: Suppose that (a) points A, B, and C are collinear and (b) AB > AC. Which point can you conclude…

A: (a) A, B and C are collinear⇒ A, B and C lie on a straight line

Q: Suppose that points A, B, and C are collinear and AB>AC. Which point can you conclude cannot lie…

A: Given   (a) points A,B, and C are collinear and   (b) AB > AC.

Q: If ON=7x-5, LM = 6x + 3, NM =x-4, and OL = 2y + 5, ind the values of x and y given that LMNO is a…

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Q: To activate lower left subgraph of a 2 X 2 grid, which of the following statements will be used? O a…

A: Given:  2 X 2 grid

Q: and B are vertices of the base of an isosceles triangle ABC. A is at point (1,2) and B at (4, -1).…

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Q: In the trapezoid TXYZ, TX = 5ZY. If the diagonals meet at 0, find an expression for TO in terms of…

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Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)2=c(bx-ay)2, c>0 are…

A: TO  PROVE-  The pair of bisectors of the angles between the straight lines   (ax+ by)2 = c( bx-ay)2,…

Q: Find b and c so that y = la? + bx + c has vertex (3, – 6). %3D

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Q: In AQRS, QS is extended through point S to point T, mZQRS = (x + 8)°, mZRST = (4x + 11)°, and mZSQR=…

A: In ∆QRS:∠QRS + ∠QSR + ∠SQR = 180°.....................................EQ.1And ∠QSR + ∠RST = 180°∠QSR…

Q: 13. If B is the midpoint of AC, and AC= 8x- 20, find BC. 3x - 1 В

A: We will find BC as following.

Q: 3. If chords CP and DT are Then their distance from Pt. is T

A: We can fill up the blanks as below.

Q: Suppose the points R1 and R2, P and P2, and Q1 and Q2 divide up the sides AB, BC, and CA of AABC…

A: Consider the given ∆ABC on a plane x-y B0,0, Ah,k, Ca,0 Points P1,P2; Q1,Q2 and R1,R2 divide lines…

Q: 21. The diagram below is a cyclic quadrilateral. AB and DC are produced to meet at P. AD and BC are…

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Q: for what value of k ,the point (k,k),(2,3) and (4,-1) are collinear

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Q: Given the points A(5, -1) and B(-5, 3), find the coordinates of the point P on directed line segment…

A: To find a point P(x,y) on a line segment that divides it into two segments with lengths in a ratio…

Q: Consider à = (2,1,k), and b = (k,-8,k). Find the value of k such that å and bare perpendicular.

A: We can find the values of k as below.

Q: 1. In square MISA, the diagonals intersect at P. If MLMPA = (2s + 3t)°, M¿ISP = (4r +s)° and M2MIS =…

A: Diagonals of square bisect each other at 90°.

Q: The base of a triangle passes through a fixed point (f,g) and its sides are bisected respectively at…

A: y2-8xy-9x2=0 y2-9xy+xy+9y2=0y(y-9x)+x(y-9x)=0(x+y)(y-9x)=0 here we have two lines  L1:…

Q: If ∆MNP is reflected across the line y = 2, then translated using the rule (x + y) → (x – 8, y – 1),…

A: We have been given the coordinates of the point P(7, 4) using the rule  (x + y) → (x – 8, y – 1).

Q: Discuss the relativr position of the following pair of circles x2+y2-4x-6y-12=0

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Q: .In AWXY, if ZX = ZY , WX = 9x – 11, XY = 4x + 1, and WY = 7x- 3, find x and the each side. measure…

A: Given that <X = <Y , so the opposite sides of them are equal.  WX=WY Or, 9x-11=7x-3 Or,…

Q: Find the stundand matices * and a for ToT,OT and て:→ド,1)- (-3y, fn + 3) T:→ド, 1.(4)): (J,)

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Q: Find the length of the diagonal indicated for each trapezoid. SU = 6x -9 RT= x+6 Find SU О 12 O 10

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Q: 2x, BD = 3x+ 4, and Point C is on line segment BD. Given CD BC = 2x - 1, determine the numerical…

A: The given information can be diagrammatically represented as shown below:

Q: The three sides of a triangle are 5, x, and 8. Give all possible lengths x so that the triangle is…

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Q: 10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b,-5), and line…

A: Given problem is :

Q: В. In circle E, AB CD. A C В E 7. If mZCED=105, what is m AB? 105 8. If mZBAE= 3x- 40 and mZDCE =…

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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: 8. Determine the following for Parallelogram ABCD if MZBCD =118°, DC - 26 cm, BC 30 cm, AD x+2, AB…

A: We have to find the term

Q: If ACOW = APIG, and CO = 25, cW = 18, IG = 23 and PG = 7x – 17, find x %3D %3D %3D

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Q: 1ol) 4 1. Are these two line segments parallel? 2 Nhy or why not? -10 -9 -B -7 6 -5 -4 -3 -2 -1 O 9…

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Q: CD CD is the midsegment of trapezoid ABGF. If FG=22FG=22 and CD=13CD=13, find AB

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Q: If segment WY bisects segment UV at Y, UY = 2x + 1, and YV = x + 7, find UV.

A: Given WY bisects UV at Y        UY=2x+1       YV=x+7As UV is bisected at Y , therefore UY=YVand…

Q: In triangle ABC, line t is drawn through vertex A in such a way that t || BC. a) Which pairs of Zs…

A: a) Consider the given triangle ABC, The alternate angles can be defined as the angles that are in…

Q: If AB = i + 4j – 2k and B is the point (5, 1, 3), find A. -

A:

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.