3 Find the coordinates of point C on segment [AB], shown below, such that the length of [AC] is - of the length of [AB]. y 3 -4 -3 -2 -1 -1 1 2 3 -2 - -3 B.

Q: Find the area of the triangle with the given vertices. (Hint: 1lu x v|| is the area of the triangle…

A:

Q: 3 where should the point: P be chos en on the line segment AB So as to maximize the angle o ? 2 B.…

A:

Q: 5 Werde the equotion of the L bisector between the points A(I-2) and B (4 (Groph poper is optiunal

A: we will use slope point form.

Q: 6) B is the midpoint of segment AC. AB 10x-1 and BC = 5x+ 14. Find BC. I

A:

Q: 5. [a] Using the method of describing Quadrangles and Townships as dis distance, in miles between…

A: Given: To explain the given statement as follows,

Q: I am stuck on a question from my history of math textbook. Here is the question: The division of a…

A: As per norms , the first three parts a,b and c are answered. The problem pertains to the…

Q: 4. Which of the following figures is not a rhombus?

A:

Q: 6. Let ABCD be a trapezoid with bases BC and AD. A line passing through the vertex C and parallel to…

A: Given, ABCD be a  trapezoid with bases BC and AD.

Q: 53. In AABC,X is the midpoint of AC and Y is the midpoint of BC. X Y A B If m2C = 67° and m2A = 72°…

A:

Q: 8. Prove that the figure with the coordinates given is a trapezoid. Is it an Isosceles Trapezoid…

A: It is given that, A(1,9), B(4,2), C(5,2), D(8,9)   A trapezoid is a parallelogram whose two opposite…

Q: 3. Consider an acute angled triangle ABC and a point D on BC. Find points (by construction) E on AC…

A: Given:      An acute angled triangle ,inscribe in it a triangle whose perimeter is minimum.…

Q: The length of the line segment described by (x,y,z)=(1,2,1) +t(-1,5,1)), where 0<t<5 is O a. 12.99 O…

A: If x=ft, y=gt and z=ht then length is, L=∫abdxdt2+dydt2+dzdt2dt

Q: Which of the following points is at a distance of 5V2 from the origin. * O (0,0) O (5,0) O (5,5) O…

A:

Q: 5. In the picture below, M is the midpoint of AB, and N is the midpoint of both BC and MP. Prove…

A:

Q: Is it true that if you stretch a rubber band by moving one end to the right and the other to the…

A: Note:  The question can be interpreted by many ways. It can be seen from physics point of view by…

Q: 6. In parallelogram ABCD, AC meets DB at O. a. If DO = 3x - 1 and OB = 2x + 1, find the length of…

A: In parallelogram ABCD, AC meets DB at O.a If DO=3x-1 and OB=2x+1, then to find the length of DB.b If…

Q: 8. If J is the midpoint of segment HK what is the value of HK? * H 9x-2 4x+13 K

A: Since J is the midpoint of JK HJ=JK 9X-2=4x+13 5x=15 x=3

Q: (c) Consider the parallelepiped with sides: u=(5,-2,1), v=(3, 2, 4), and w=(-6,1,1). V

A: Angle between two vector V and W found using cosine function

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: The coordinates of the vertices of a triangle are G(-4, 2), O(5, -1), and T(10, 8). What is the…

A:

Q: (b) Let A(4,4, 7) and B(11,8, 11) be two points in 3D. Determine the coordinates of the point Q…

A: Introduction: When a vector is a non-zero scalar multiple of another vector, the two vectors are…

Q: calculate the distance between the point P (2, 3) and the point Q (1,-2) 20 3 us O V25 4 jus O V26

A: The distance between two points (x1, y1) and (x2, y2) is                    d=(x2-x1)2+(y2-y1)2…

Q: 4. The midpoint of segment CD is M(-1, 0). One endpoint is D(5, 2). What are the coordinates of the…

A:

Q: Find the shortest and longest distance from the point (1,2, -1) to the sphere x2 + y? + z? = 24 %3D

A:

Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of the…

A: The vertices of triangle TUV are T=(4, 4) U=(-4, 0) V=(-2, 2)   Scale factor is 2. Centre is origin.

Q: Use the distance formula to prove that segment WN is a dilation The line segment is dilated about…

A: In this question we will use basic concepts of geometry i.e concept of distance between two points…

Q: On line segment PQ, R is the midpoint of PQ and midpoint of RQ so that are P(-13,25) and Q(23,43).…

A: using mid point formula if P= (a,b) and  Q= (c,d) is the line segment and R= (x,y) is  the mid point…

Q: Use similar triangles to find the coordinates of the point Q that divides the segment from P, (x4,…

A:

Q: _31. If A is the midpoint of B and D, what is the coordinate of A if B(-3, 8) and D(11,-12)? A. (-4,…

A:

Q: 8. Prove the converse part o median of a trapezoid is p parallel to the base; const to the base, and…

A:

Q: C. Given isosceles trapezoid ABCD with segments DA If AC=x+5 and DB=3x+3, what is AC?

A: Topic = Geometry AC = 6

Q: C. Given isosceles tranezoid ABCD with segments DA and CB as legs IfmZC= 3(x+5) and MZD=60, what is…

A: Simply use the property of isosceles trapezoid and simplify the equation.

Q: Segment KL К (12, 12) L(-6,6)

A:

Q: 8. Find the exact perimeter and area of the segment shown, given that mz0 60° and OA %3D %3D 12 in.

A: Please see the below picture for detailed solution.

Q: 3. Find the distance between points P₁ and P2. (a) P₁(-1,1,5), P₂ (2, 5,0) (b) P₁(3,4,5), P₂(2, 3,…

A:

Q: 6.) What is the midpoint of segment KL? y IK -2 8 What is the midpoint of segment KL, pictured…

A: For the line segment KL K = (4, 2) L = (2, - 3) TO find mid point of KL

Q: The distance from (7,-8, 5) to yZ-plane is OA. 138 O B. 5 OC.8 OD. 89 O E. 7

A:

Q: Calculate the distance between the points G = (-3, 3) and E = (5, -2) in the coordinate plane. Give…

A:

Q: *15. What is the name for the point on the coordinate plane that has the (Inv. 7) coordinates (0,…

A: The given point is: (0, 0)

Q: 5. What is the angle between the planes 4x – 5z = 11 and 8x – 10z = 13? (0) (a) 0 (b) 프 (d) π

A: Given: To explain the correct option is given as,

Q: ABC is a triangle inscribed in a circle. The bisector of ÐBAC cuts BC at X and the circle at Y.…

A:

Q: What is the distance between points P (-3, 5) and S (6, 9) ? 10 -2 9. 8. -2 O 4 units O V65 units O…

A: We will use the Pythagoras theorem to find the distance between the given two points

Q: (a) If we mark off a distance t along the unit circle, starting at (1, 0) and moving in a…

A: Topic -  unit circle

Q: AABC is dilated from center A by a factor not equal to 1 to form AAK L. Which of the statements must…

A:

Q: hat are the coordinates of the point on the directed line segment from (–7,5) t ',-9) that…

A: In the question we need to find the coordinates of a point which divides the line segment joining…

Q: 7. Use the distance formula to determine if points P, Q, and R are collinear. a. P(-1,4), Q(-2, 3),…

A: To determine if points P, Q, and R are collinear a P-1,4, Q-2,3, R-4,1b P-2,1, Q3,4, R12,10c P-2,-3,…

Q: Given Triangle TUV with vertices T(4, 4), U(-4, 0), and V(-2, 2). What are the coordinates of the…

A: Given T4,4, U-4,0 and V-2,2dilation with scale factor of 2 centred at origin

Q: A B M "The length of the median of a trapezoid is one-half the sum of the lengths of the D C two…

A: If two lines intersect each other, then the vertically opposite angles are equal. Alternate interior…

Q: How can we use the Pythagorean theorem to find the length of segment AB, or in other words, the…

A: Given: The two points are A = (-2,1) and B = (3,3) To Find: The distance between A and B

Q: Prove that segment WN is a dilation of segment ZX by a scale factor of , using the distance formula.…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.