14. Given: ABCD is a parallelogramThe diagonals of the parallelogram intersect at T.(a) If AT = 2x- 1 and AC = 3x + 5, what is TC?%3D%3DC%3D(b) If mZABC = 3y + 5 and mZADC = 5y – 45, what is mzABC and mZBCD?%3D(c) If AB = 3z + 1, DC = z + 7, and AD = 2z, what is BC?%3D

Answered: Image /qna-images/answer/62e26842-58b6-4eb3-b3c2-8afe344d9c3a.jpg

14. Given: ABCD is a parallelogram The diagonals of the parallelogram intersect at T. (a) If AT = 2x-1 and AC = 3x + 5, what is TC? D (b) If mZABC = 3y +5 and MZADC = 5y - 45, what is mzABC and mZBCD? (c) If AB = 3z + 1, DC = z + 7, and AD = 2z, what is BC?

14. Given: ABCD is a parallelogram The diagonals of the parallelogram intersect at T. (a) If AT = 2x-1 and AC = 3x + 5, what is TC? D (b) If mZABC = 3y +5 and MZADC = 5y - 45, what is mzABC and mZBCD? (c) If AB = 3z + 1, DC = z + 7, and AD = 2z, what is BC?

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter11: Graphs

Section11.1: Use The Rectangular Coordinate System

Problem 11.1TI: use the map in Figure 11.2. a Find the grid section of Taylor Hall. b. What is located in section...

See similar textbooks

Related questions

Q: a. The diagonals of a rhombus are in the ratio of 1:3. If each side of the rhombus is 10 cm long,…

Q: If KF is the perpendicular bisector of GH, 19. then ZKGF = [A] ZFKG [B] ΚΓΗ [C] KF [D] ZKHF

A: ‌‌< KHF

Q: 9. Find the equations of the planes that are parallel to 2.x - 2y + z = 5 such that the distance…

A: We will solve the problem.

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

Q: 16. For the parallelogram, if mL2 = 4x- 20 and m24 = 3x-11, find mZ1. The diagram is not to %3D %3D…

A: Given query is to find the measure of angle 1.

Q: 12. In the diagram below, quadrilateral STAR is a rhombus with diagonals SA and TR intersecting at…

A: Given a Rhombus All sides of a rhombus are equal. And the diagonals of a rhombus are perpendicular…

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: 5. The ends of the transverse axis are at (+8,0) and the ends of the conjugate axis are at (0. 16).

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: 2メーヴ+ 13) find the equf Plane Parallet to rm (3, 2,-1) is twise their distante to the Plane 2X-9…

A: Given

Q: 19a. Show that quadrilateral ABCD is a parallelogram Given A(2, 0), B(3, 4), C(-2, 6) and D(-3, 2).…

A: 19 a) Given A(2,0) B(3,4) C(-2,6) and D(-3,2) Show that the quadrilateral ABCD is a parallologram 19…

Q: 17. In parallelogram ABCD, if ED = 7x-213 and BD = 16x- 38, find BD. %3D B. C

A: Property of parallelogram: The diagonals of parallelogram bisect each other. (17). Using this…

Q: 21. Find the equation of the perpendicular bisector of the segment joining (1,2) and (5,4) (Figure…

Q: The points A, B, C and D represent the numbers Z₁, Z2, Z3 and z4 and O is the origin. 9 (a) If OABC…

A: We have to find value of Z3

Q: 12. Use one of the properties of paralelograms to prove ABCD is a parallelogram. A(0, 01 6-4 -2 -2…

A: In parallelogram ,opposite sides are congruent.

Q: Question 8 Attempt di 59 Minu 2 pts Find the distance between the parallel planes P1: 2x - y+ 2z+ 6…

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

Q: (d) Latus rectum is the segment joining (1, 4) and (7, 4) passing through the point (e) Contains the…

A: We will find axis of parabola and vertex to find equation of parabola

Q: iven two line segments, construct a rhombus whose diagonals have lengths equal to the lengths of the…

Q: For each of the following, state the condition that supports why quadrilateral WXYZ is a…

A: Given: The quadrilateral WXYZ

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…

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

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below with…

Q: 1. Consider the planes P and Q given as 2x- 3y +2 = 3 and 4x- 6y + 22 = 5. Are P and Q parallel?…

Q: 9. Suppose z1, z2, Zz are the vertices of an equilateral triangle inscribed in the circle |z| = 2.…

Q: The vertices are at the ends of the major axis. So, from the figure we conclude that the coordinates…

A: Comparing (0 ± 6, 0) with (h ± a, k) we get a=6

Q: 9. In the diagram below, quadrilateral STAR is a rhombus with diagonals SA and TR intersecting at E.…

A: In the given rhombus , ST=6x+15 , SR =10x-9 SE =2z+4 , TE =3z+15…

Q: 18. The diagonals of parallelogram ABCD intersect at E. If DE = 4y + 1 and EB = 5y- 1, find y, DE…

A: Given ABCD is a parallelogram.The diagonals intersect at E. DE=4y+1 and EB=5y-1

Q: 5. What can you change to the two planes to make them parallel? Make as few changes as possible and…

A: given planes π5: 2x-4y+2z-2=0π6: x-y+3z-2=0

Q: 7 In the diagram below, quadrilateral STAR is a rhombus with diagonals SA and TR intersecting at E.…

Q: D. Let ABCD be a trapezoid with AB parallel to CD. Let the lines containing the legs AD and BC…

Q: 9. If ZDAB =(5y+12) and ZABC =(2y+14), what value of y is needed in order for ABCD to be a…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 5) Find the distances by drawing the figures and right triangle used to calculate a. Between 1₁ =…

A: Given: Let's determine the distance for the following, a) medium of l1=2+2t,-1+t,-3t and…

Q: Find the value of k for which the planes: 2x-ky+4z=1 and kx+y-3z%3D2 are orthogonal.

A: we have to find the value of k for which the planes 2x-ky+4z=1 and kx+y-3z=2 are orthogonal.

Q: :) Find the shortest distance from the point P(3, 1, 1) to the plane with equation 2x – 3y + 2z = 22…

Q: H. (7m - 48)° (3m +0)° (14n + 11)° K. Part 1 out of 2 mZG=

A: We properties of parallelogram opposite sides are equal in length opposite angles are equal sum of…

Q: 1. Кеер Тrying! A. Quadrilateral MLQU is a parallelograr If LM - 5x - 8 and UQ - 3x + 14, If LQ =…

Q: Solve the following problems completely. If there are seven distinct points on a plane with no…

A: Given: Total number of points is, n=7. No three points are collinear. The objective is to find the…

Q: 21. Find the equation of the perpendicular bisector of the segment joining (1, 2) and (5, 4) (Figure…

Q: Consider the parallelogram below. M A S N If ZM AN = 8x +1, ZMSN = 10x – 15, then find a and ZANS.

Q: 10. Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

A: Two planes are perpendicular iff their normal vectors are orthogonal

Q: 5(b) Given a parallelogram ABCD with points M and N that trisect the diagonal [BD] (see diagram…

A: A figure is shown M and N trisect diagonal BD

Q: 1. Mis the middle point of the side AB of the parallelogram ABCD. Prove analytically that the line…

Q: B. If the two planes ax-4y - 9z = 4 and perpendicular. Find the value of a. x-2xy + 3z = 1 are

A: Topic = Geometry

Q: On Your Own 1. Draw and cut out a parallelogram and name it PINK. 2. Fold it along the diagonals IK…

Q: The diagram shows AB graphed on a coordinate plane. B (4, 6) 6- -5 4 3 2 -5 -4 -3 -2 -1 4 -1- -2 3…

Q: A 4. Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 6y- 6, BC = 4y – 7, and CD =…

A: topic - quadrilaterals

Q: If one of the diagonals of a quadrilateral is 25 units and offsets are drawn on to its diagonal are…

A: 1) Given : length of the diagonal = 25 length of the offsets are = 14.5 and 17.5 Area = 1/2(diagonal…

Q: 11. If AB = (2x + 5 ) cm, CD = (x + 25 ) cm , AD = ( 2y – 1) cm , and BC = ( y + 14 ) cm, what is…

A: The given question has been solved in detail

Q: Given that z1 = 1+i, z2 = 2+ 6i and z3 = -1+7i, find the three possible values of z4 so that the…

A: Given that z1=1+iz2=2+6iz3=-1+7i We need to find three possible values of z4 such that z1,z2,z3,z4…

Question

14. Given: ABCD is a parallelogram
The diagonals of the parallelogram intersect at T.
(a) If AT = 2x- 1 and AC = 3x + 5, what is TC?
%3D
%3D
C
%3D
(b) If mZABC = 3y + 5 and mZADC = 5y – 45, what is mzABC and mZBCD?
%3D
(c) If AB = 3z + 1, DC = z + 7, and AD = 2z, what is BC?
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Pyramids$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.