The area bounded by the curve y=4x y=4x  and the lines x=6x=6 ,x=10x=10 and x−axisx−axis is: Choose correct answer : A) 144 square units B) 128 square units C) 272 square units D) 3600 square units

Q: The Converse of the Corresponding Angles Theorem states that if twO coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: In quadrilateral RSTU, RT and SU intersect at point M, so that RM≌TM  and  RS is parallel to TU.…

A: In quadrilateral RSTU, RT and SU intersect at point M, so that RM≌TM and RS is parallel to TU. Which…

Q: Must three parallel lines be coplanar? Draw a diagram to illustrate your answer.

A: To write: Three parallel lines be coplanar or not and to draw the diagram.

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The theorem of converse of correspondingangles :   If two parallel lines are cut by a transversal,…

Q: III. Prove : If two lines are cut by a transversal so as to form a pair of equal alternate interior…

A:

Q: Let the line DE be a line parallel to the base BC of triangle ABC. Show that if the line AF divides…

A: Given,DE∥BCAF bisects BCLet intersection of AF with DE be 'x'

Q: 2. Prove that if the Fermat-Torricelli point of an acute triangle ABC coincides with the incenter,…

A:

Q: Complete the proof to prove line m and n parallel given 48 = (4x + 25) and6 (5x + 12) and r 13 2 3/6…

A:

Q: Calculate the area of the triangle defined by u = (1, 6, 2), v = (3, 0, 5). [A3]

A: Here we have to calculate the area of the triangle having vectors,  u→=(1,6,2) and v→=(3,0,5)

Q: 12) Show that D. ldi-del is shortest distance bet uleen ax-by+c2di i and ax+by tcz =dz?

A:

Q: 2 Find the volume of the parallelepiped whose edges are represented by A=i-13j+ 4k, B = 31+2j-7k and…

A: Given A→=i-13j+4k,  B→=3i+2j-7k and C→=i-2j+2k

Q: lot is in the form of equilateral triangle whose sides in 2 km. Compute the length of the line…

A: To solve the following problem

Q: Compute ff, x²ydA,where Dis the triangle bounded by x = 2, y = 1, y = 1 –

A:

Q: Prove a quadrilateral with vertices G(1,1), H(5,3), I(4,5) and J(0,3) is a rectangle

A:

Q: let ABCD be a reactangle.The perpendicular bisector of line segment BD intersects line AB and BC in…

A: In this rectangle ABCD the perpendicular bisector of diagonal BD is EF and EF will be AC.

Q: In quadrilateral RSTU, RT and SU intersect at point M, so that RM TM and RS is parallel to TU. Which…

A:

Q: アon) usweris X10 बप्कणs In the ry-plane, what is the perimeter of an equilateral triangle with one…

A:

Q: . Prove that in a triangle, the orthocenter, centroid and the circumcenter are concurrent (in a…

A: Let X be the mid-point of EF Construct the median DX. Since G is the centroid, G is on DX by the…

Q: Let ABCD be a rectangle. The perpendicular bisector of line segment BD intersects lines AB and BC in…

A: Draw the diagram as shown below : Calculate the cordinates of L .L=a+02,b+02=a2,b2Calculate of…

Q: In an Argand plane, a O straight line O point O circle

A: The given complex number is z=16 z=16x+iy=16+i0

Q: ZA and ZB are supplementary angles. If mZA = (7x – 15)° and m ZB = (2x – 3)°, then find the measure…

A: Then we solve for x.

Q: perpendicular to AB, and in traingle XYZ, lines ZW is perpendicular to XY.      If AB = XY and CD =…

A: Given query is to find the correct option for the triangle.

Q: 4. Find the perimeter and area of a rhombus that has a side length of 10 cm and one diagonal with…

A:

Q: 1. Prove that in a triangle, the orthocenter, centroid and the circumcenter are concurrent (in a…

A:

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: Prove that if a line bisects one side of a triangle and is parallel to a second side, then it…

A: Basic proportionality Theorem of triangle is define as if a line drawn parallel to one side of…

Q: 7. GH = HI 12x + 16 13x + 10

A: Given: GH=HI GH=12x+16 HI=13x+10 To find: Value of x Length of GI, GH, HI

Q: Show that the volume of a parallelepiped with sides A, B and C is given by A · (B × C)

A:

Q: Which rule maps quadrilateral WXYZ to c O (z, y) - > (x + 5, y –6) O (z, y) – > (x – 6, y + 5) O (z,…

A: From the figure  Coordinates of   W' =  (-5 , 6)  Coordinates of   W =  (1 , 1)    Coordinates of…

Q: In APOR, PRisestended through point R to point S, mLQRS = (7z + 8)°. mRPQ = (= + 12). and m/PQR =…

A:

Q: Let ABCD be a rectangle. The perpendicular bisector of line segment BD intersects lines AB and BC in…

A: We need to prove FM and EN are perpendicular.

Q: 2. Find the midpoint of Segment AB, where Point A is at (-5,1) and Point B is at (15,8). O (5, 3.5)…

A: Mid point of a line segment is a point which is equidistant from the two endpoints of the line…

Q: Indicate whether the statement is true or false. If coplanar lines r and s are cut by transversal t…

A: True

Q: 27. How many triangles collinear points? can 'be drawn on a plane using 8 non-

A:

Q: Let abcd be a rectangle. the perpendicular bisector of line segment bd intersect ab and bc in point…

A: Given that ABCD be a rectangle, the perpendicular bisector of line segment BD intersect AB and BC in…

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: Point K is on line segment JL. Given JL + 10, KL 4r, and JK 2z, determine the numerical length of…

A: Given:Point K is on the line segment JL.JL=x+10 unit, KL=4x  and JK=2xTo find:The numerical length…

Q: Prove: If two lines cut by a transversal form a pair of supplementary exterior angles on the same…

A:

Q: Prove that of all triangles having two given sides of lengths a and b, the one whose sides form a…

A: It is given that the length of two sides of a triangle is a and b, respectively. It is known that…

Q: 2. For rectangle PLNE, MLPLE = 5x + 2 and mzNLE = 3x. Determine the value of x, mzPLE, and mNLE. %3D…

A:

Q: In a plane, if line f is perpendicular to line m and then fln. mln f || n n || f m || n

A: In the question we have to choose correct option.

Q: find . In isosceles trapezoid HJKL, JK || HL. If mH = 450, JK= 6 cm, and the length of an altitude…

A: HJKL is isosceles trapezoid, so HJ=KL.Let the altitude is JP.

Q: Suppose you wind a thread on a pool of 1 cm. Points K, L, M, N, and so on until S are marked on the…

A: We have to find the length of thread in terms of π.

Q: An isosceles trapezoid has two congruent legs. O True False

A: We use properties of isosceles trapezoid

Q: uwhich regin [ind lies in first quadrant bounded afea in

A: We need to find area of the region lies in quadrant 1 bounded by v=3√u ,u axis and line v=u-2

Q: These figures are congruent. What is mZN?

A: We have the given figure as  it is given that both figures are congruent We have to find the…

Q: Points must be collinear in order to use the segment addition postulate. O True O False

A: solution = point must be collinear in segment addition postulate .this addition apply on line…

Q: 10) Find mzEGF 102.x F 50x + 2 E G Find the perimeter of each polygon. Assume that lines which…

A: As per bartleby guidelines, for more than one question asked, only one is to be answered, kindly…