The endpoints of DEF are D(1,4) and F(16, 14). Determine and state the coordinates of point E, if DE: EF = 2 :3.

Q: Determine the are of a triangle formed by the given 7x+8y=69 and the coordinate axes x and y.

A:

Q: In the diagram below of triangle UVW, X is a midpoint of UV and Y is a midpoint of VWIIF XY = 54 -…

A: Since ,   X & Y are midpointsof UV¯  & VW¯  respectivelythen XY = 12UW

Q: Given the coordinate of one endpoint of AB and its midpoint M, find the coordinates of the other…

A: If co-ordinates of A is (x1,y1)and co-ordinate of B is (x2,y2)then midpoint of AB isx1+x22,y1+y22

Q: A line segment has endpoints D and E, and a collinear point, M. Which of the following must be TRUE?…

A:

Q: Lines e and m are intersected by transversal t. e || m. 1/3 2/4 5/7 6/8 If m23 = 78°, what is ma6?…

A: We can use concept of angle in order to solve the given problem.

Q: in the figure below, allbllcand B is the midpoint of AC and E is the midpoint of DF. If B = 2x + 3y,…

A:

Q: Consider the following figure. If AC and BD intersects at the point E, then which of the following…

A: Given:

Q: If GK =t+ 21 and IK = 3t - 21, find the value of t in parallelogram GHIJ. %3D I H. K t =

A:

Q: Given the points z = 4e ' and w = -i Sketch an Argand diagram using the axes below, showing the…

A: A complex number is an element of a number system that contains the real numbers and a specific…

Q: Given A(4,2) B(-1,y), and the graph of line t below , find the value of y so that AB is…

A:

Q: 1. Which point is NOT collinear with point B? A B C D E Point A Point C Point D

A: Given NOT collinear with point B

Q: Given points J(1, 4), A(3, 5), and G(2, 1), what are the coordinates of AJ'A'G' when reflected over…

A:

Q: Which of the following is symmetric with respect to the x-axis, y-axis and the origin?* y = 16 – x4…

A: Explanation of the answer is as follows

Q: Find the value of β for which w =〈−2, β〉 is parallel to v =〈4, −3〉.

A: Two vectors are parallel if the angle between them is 0 or π. That is, the vectors are pointing in…

Q: Given the coordinate of one endpoint of AB and its midpoint M, find the coordinates of the other…

A:

Q: В (0, 2b) F E С (-2а, 0) D А (2а, 0)

A: Solution:- In the figure, it is given that F is the midpoint of BC. co-ordinate of B(0,2b)≡(x1,y1)…

Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: Given 7, -2

Q: If M( - 3, 7) is the midpoint of PQ, where P has coordinates (9, – 4), find the coordinates of Q.

A: Given:

Q: Points S. Q, and T are located along the edge of a river and point Ris on the opposite edge. Use…

A: (i) From ∆ RSQtan 51° =opposite sideAdjacent side =RQSQ= RQ31.·. RQ =31 tan 51°             = 38.28…

Q: The diagonals of parallelogram WXYZ intersect at P. Which statement must be true? Select all that…

A: Given:

Q: Given the coordinate of one endpoint of AB and its midpoint M, find the coordinates of the other…

A: introduction:-let A and B are the endpoint of line segment AB whose cordinate (x1y1) and x2y2…

Q: Are the points H and L collinear? U S E H.

A: Collinear means the points which lie on the same line.  From the image, we see that H and L lie on a…

Q: The equation, with a restriction on x, is the terminal side of an angle 0 in standard position. 4x +…

A:

Q: Find the value of p for which the point (-1, 3), (2, p) and (5, –1) are collinear. 4 3 2. O O

A:

Q: Consider the following figure. If AC and BD intersectsat the point E, then which of the following is…

A:

Q: In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint of FG. If MZJHF = 9x…

A: Given in a ∆EFG, H is midpoint of EF and J is midpoint of FG.  And ∠JHF = 9x + 60 ∠GEH = 72 - 3x To…

Q: Given the points P1(-2, 1, 3) and P2(2,-1, 3), determine the coordinates of point P3 on the y-axis…

A: Any point on x-axis in 3D  is (x,0,0) Any point on y-axis in 3D  is (0,y,0) Any point on z-axis in…

Q: Given P (8, 0) and Q (0, -6). The perpendicular bisector of PQ meets the axis of the axis at A and…

A: The points are P(8,0) and Q(0,-6)

Q: Given isosceles trapezoid PAGE. G T B. If PE = 3x - 5, AG x+ 7 and TD 26, find 1. X= 2. AG 3. PE= E.…

A: Topic  =Geometry

Q: Consider point W on the coordinate plane y 51 w/ 1.

A: Here if we are going through x-axis. Then it will give points 3 and -4. Because x-axis value will…

Q: (0,1) R h5 15 30 (1,0)

A: Simple coordinate finding problem.....

Q: If C is a closed contour , , and n+1, then z" dz = ? О а. 2л O b.0 O C. 2ni O d. None of the above

A:

Q: Use A GHJ, where D, E, and Fare midpoints of the sides. D If HJ = &x – 2 and DF = 2x + 11, what is…

A: Question:- Use triangle GHJ, where D, E, and Fare midpoints of the sides. If HJ = 8x - 2 and DF = 2x…

Q: The distance between the points (-3,-5) and (2, 7) on the coordinate plane is given as V3 +t, What…

A:

Q: Which of the following is symmetric with respect to the x-axis, y-axis and the origin? * y = 16 – x4…

A: Follow 2nd step.

Q: If Triangle ABC is reflected across the y-axis, which of the following would be the coordinates of…

A: The triangle ABC is reflected across y axis when any point is reflected across y axis , then…

Q: The diagonals of parallelogram ABCD intersect at E. If EB= 8y – 7 and BD= 12y + 6 , find y.

A:

Q: Find the coordinates of the missing endpoint if E is the midpoint of . 9. D(–3, –8), E(1, –2)

A:

Q: The midpoint of AB is M(5, -2)M(5,−2). If the coordinates of AA are (6, -5)(6,−5), what are the…

A: Mid point of a line joining two points(x1, y1) and  (x2, y2) is given byMid point = x1+ x22,y1+ y22

Q: Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE = 2x, BE = y+ 10, CE = x + 2…

A:

Q: Determine all points P(x,y) such that PA = PB. A = (2,3) and B is on the line y=-3

A: solution:- A(2,3) B(0,-3)

Q: The equation, with a restriction on x, is the terminal side of an angle 0 in standard position. 3x…

A:

Q: C. 3x +4 E. 9+x %3D DE is a midsegment of triangle ABC. If DE = x + 6 and BC = 3x + 4, what does x =…

A:

Q: A paritcle is at the point P1 (3,7) and is displaced to the point P2 (x,y) , where d= 10m and the…

A:

Q: Consider the diagram below of a triangle, with markings as shown. y + 6 10 2Y. х — 1 %23 %23 Use the…

A: To find the value of x, y, and z

Q: 3. If F, G. and H are the midpoints of the sides of AJKL, FG = 37. KL = 48, and GH = 30, find each…

A:

Q: On a dark night, two ships, Saga and Hero, sail parallel to a straight coastline on which there are…

A: We have, I=1b2+x+82+1b2+x-82dIdx=-2x+8b2+x+822+-2x-8b2+x-822     =-2x-8b2+x+822+-2x+8b2+x-822…

Q: Given: E is the midpoint of AB and CD Prove: ΔΑEC - ΔΒED C

A: Given that: E is the mid point of AB and CD

Q: Given points A (3, - 5) and B (19, -1), find the coordinates of C such that CB:AC = 2:7

A: A point lying on a line segment can divide the line segment in the ratio of m:n. The coordinates of…

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.