4) The point M is the midpoint of AB , where AM = 3x +8 and MB = 6x- 4, find AB

Q: Find the equation of the perpendicular bisector of side of the triangle having vertices…

A: Slope of a line passing through two points x1,y1,x2,y2 is given by Y2-x1x2-x1 Midpoint of two points…

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

A:

Q: The midpoint of AB is M (5, –5). If the coordinates of A are (3, –6), what are the coordinates of B?

A:

Q: 17. In quadrilateral ABCD, MZACD = 2r+4 and MZACB= Sx-11. For what value of x is ABCD a rhombus? 4.…

A: Given,           In quadrilateral ABCD, ∠ACD=2x+4 and ∠ACB=5x-11.

Q: Show that the points A(1, 1 + d), B(3, 3 + d), and C(6, 6 + d) are collinear (lie along a straight…

A:

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

A:

Q: What value for x would guarantee that the quadrilateral shown is a parallelogram? 2x Зх + 2 5x-6 2x…

A: We will find the value of x for which the given quadrilateral is a parallelogram.

Q: 10. Prove that quadrilateral A(1,-2), B(13,4), C(6,8) and D(-2,4) is a trapezoid, but is NOT an…

A:

Q: The midpoint of AB is at (5, 0). If A = (4, 3), find B. B is:(

A: Consider the given information.

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: 5. In the parallelogram RSTU, the diagonals RT and SU intersect at point W. T. If RW: 2x +2 and RT =…

A:

Q: The area of the parallelogram with two adjacent sides that are formed by V = i+j-2k and w= 2i-j-k is

A: Given,          The two adjacent sides vectors are v→=i+j-2k and w→=2i-j-k.We know that,…

Q: Find the points on the cone 22 = x2 + y? that are closest to the point (1,3,0)

A:

Q: 5. Which theorem makes the quadrilateral KLPQ a parallelogram for m = 14 and n = 12.5. %3D (5m +…

A:

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

A:

Q: 2. Determine the value of each variable for parallelogram INDY that has diagonals that intersect at…

A:

Q: 2. In the trapezoid ABCD point E is the point of intersection of diagonals AC and BD. If AC=14,…

A: In the given trapezoid ABCD, two diagonals AC and BD intersect each other at point E.  The diagram…

Q: The midpoint of AB is M(2, –2). If the coordinates of A are (-2, 1), what are the coordinates of B?

A: Recall: Mid point Formula: The midpoint of M(x,y) of the line segment from A(x1,y1) to B(x2,y2) is…

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: A student claims that the circumference of a semicircle with diameter AB is equal to the sum of the…

A: Circumference of circle=πD  D = diameter

Q: The midpoint of AB is M(1, -4). If the coordinates of AA are (−3,−6), what are the coordinates of…

A:

Q: 3 Find the coordinates of point C on segment [AB], shown below, such that the length of [AC] is - of…

A: Given

Q: ABCD is a quadrilateral and G, H are the middle points of AC, DB. If CB, DA are produced to meet in…

A:

Q: Find the points on the cone 22 = x? + y? that are closest to the point (4,-1,0)

A: Follow next step

Q: In AGHI, GI is extended through point I to point J, m/IGH = (r + 16)°, m/HIJ (4x - 12)°, and m/GHI =…

A: Given: In ∆GHI, GI¯ is extended through point I to point J. m∠IGH=(x+16)°m∠HIJ=(4x-12)°m∠GHI=(x+10)°…

Q: The midpoint of \overline{\text{AB}}AB is M(1, 1)M(1,1). If the coordinates of AA are (-2, 5)(−2,5),…

A: Given, A=(x1,y1)=(-2,5) Midpoint M(1,1) Let the other point B have coordinates (x2,y2)

Q: The midpoint of AB is M(6, 1). If the coordinates of A are (4, 8), what are the coordinates of B?

A: As we know that the midpoint formula: Mid point x,y=x1+x22,y1+y22 Given: Mx,y=6,1Ax1,y1=4,8

Q: The midpoint of AB is M(0, –4). If the coordinates of A are (–8, –7), what are the coordinates of B?

A: Coordinate of the midpoint of a line joining the points (x1,y1) and (x2,y2) is (x,y)=x1+x22, y1+y22

Q: Find the area of the parallelogram that has u = 2i - 3j + 2k and = 2j+ k as adjacent sides. NOTE:…

A:

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 midpoint of AB is at (2,5). If A=(7,0) find B

A:

Q: In ABCD, BD is extended through point D to point E, m/BCD = (2r - 1), mZCDE = (7x - 19)°, and MZDBC…

A:

Q: A secant to two congruent circles, which is parallel to the line of centers OO', meets the first…

A:

Q: In APQR, PR is extended through point R to point S, mZQRS = (7x + 8)°, mZRPQ = (x + 12)°, and mPQR=…

A: Given: In triangle PQR, PR is extended through point R to point S. Concept Used: Exterior angle…

Q: The midpoint of AB is M (1, 6). If the coordinates of A are (8, 4), what are the coordinates of B?

A: To find B coordinate.

Q: Use the side-splitter theorem to solve for a in the triangle below. 2 22

A: Given triangle is : To find the value of x

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

A: To find the point B

Q: If M is the midpoint of AB and AM = 12. then AB = _?_.

A: Given: M is the midpoint of AB.

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

A:

Q: The midpoint of AB is M(6, 1). If the coordinates of AA are (4, 8), what are the coordinates of BB?

A: M has coordinates (6,1) Coordinates of A =(4,8)

Q: In the given figure, X and Y are centres of two intersecting equal circles. If XY = AB, prove that…

A:

Q: The midpoint of AB is at (0, 2). If A = (– 9, – 2), find B. |

A:

Q: The midpoint of AB is M(1,3). If the coordinates of A are (-1, 5), what are the coordinates of B?

A:

Q: 4. The diagonals of parallelogram WXYZ intersect at D. Which statements must be true? Select all…

A: To Determine: The diagonals of parallelogram WXYZ intersect at D.Which statements must be true?…

Q: The midpoint of AB is M(1, 3). If the coordinates of A are (-1, 5), what are the coordinates of B?

A: