am, põint M is the intersection of line HF, line RS, and lir ndicular to line QP. H Q M P R F asure of ZHMQ is (4x - 20)°. The measure of ZRMF is x°.

Q: Let AB = a and BC = b. Point M is the midpoint of BC. If AN = (AB), find the length of NM in terms…

A: Given:                  Length of AB= a,                  Length of BC=b;   Point M is the mid-point…

Q: Part (a) Evaluate 100e dz, where C'is the polygonal path consisting of the line segments from z =…

A: Since you have asked multiple questions, we will solve first question for you. For other question,…

Q: Let C be the line segment connecting 0 to ni. Then ſ, 1-e2²dz = %3D а. 0 b. -0.5 + ni c. πί d. None…

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Q: In the accompanying diagram, AB CD and intersects transversal GH at points E and F respectively.…

A: Consider the following figure: AB↔∥CD↔ GH↔ is transversal.

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

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Q: If AB is parallel to CD, which statement must be true? CD. O A. The perpendicular distance between…

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Q: The figure to the right shows two parallel lines intersected by a transversal. Let x=118°. Find the…

A: We will use various properties of angles and parallel lines to find the measures.

Q: This figure shows parallel stair railings through points M, N, P, and Q. 610 M What is the value of…

A: MD ∥NC ∥ PB ∥QA

Q: You are to construct a perpendicular to a line / at a given point X on /. In howmany places on /…

A: Given point a and a line L.

Q: If C is the unit circle x² + y² = 1 oriented counterclockwise and F(x, y) = x F. dR? -T 2π TT î 1 C…

A:

Q: Find the distance between the lines: ri = +! r2 = + s

A: We have to find the distance between given 2 lines.

Q: When is OP perpendicular to AB?

A: According to the given figure, A(a, 0), B(0, b) and O(0, 0). We know that slope of a line passes…

Q: W and T are the midpoints of the legs, RV and SU, of trapezoid RSUV. If UV = 22 and TW = 35, what is…

A:

Q: If <POQ is a straight angle and R is any point not on PQ. thenm <___+m<____ = m______

A: Given that, ∠POQ is a straight angle and R is any point not on PQ. The geometrical representation of…

Q: Evaluate f, z dz, where C is the unit circle in the counterclocwise direction. O 2ni O 4ri O -2ni

A: Given: ∮C Z¯dz we will use the the result: Given the ingredients we define the complex line…

Q: In the adjoining figure, O is the centre of a circle. Two equal chords AB and CD intersect at P. If…

A: Given: In the above figure, O is the center of the circle and AB and CD are two equal chords…

Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(1, 3) is the midpoint of…

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Q: Evaluate ry dr +r dy, where C is the positively oriented triangle enclosed by the lines y = I=0 and…

A:

Q: 15. M is the midpoint of line segment PQ, and R is the midpoint of TS. If PM = MQ = a and TR = RS =…

A:

Q: In triangle XYZ, ZA is the angle bisector of angle Z XA = 4, YA = 6, and YZ = 12. Find the %3D…

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

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Q: If the four straight lines ax + by +p=0, ax + by +q = 0, cx + dy +r=0 (p-a)(r-s and cx + dy + s = 0…

A: The given equation of lines of parallelogram are  ax + by + p = 0,   ax + by + q =0 m1 = -a/b c1 = -…

Q: In parallelogram PQRS, OP is extended to point T and ST is drawn. R T If ST = SP and mz R = 130°,…

A: In a parallelogram opposite angles are equal. Also the sum of angles in a triangle add to 180°. When…

Q: Let z=x+iy  Let w=a+ib

A: To prove the equality of the two given angles

Q: If the four straight lines ax + by + p = 0, ax + by + q = 0, cx + dy + r = 0 |(p-4)(r-s) bс - ad and…

A:

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: 9. IFQN bisects PQR and N is the midpoint of PR classify each triangle by its angles and sides. Q а.…

A:

Q: Given that C is midpoint of AB, if A(-2,4) and C(3,-6), what are the coordinates of B

A: To find the coordinates of B

Q: In the figure, m | n, and line r is a transversal of lines m and n. 5 8 7 What justifies the…

A: we will use the concept of pair of angles formed by parallel lines and transversal line

Q: A hot air balloon is fixed to the ground at point F and G by two ropes. If FBG is 86°, how far apart…

A: Cosine law of triangle

Q: If PR bisects ZSRT and U is the midpoint of RT, classify each triangle by its angles and sides. 15.…

A: The triangles are drawn in the figure given in the problem. 15. △UQR The sides and angles of △UQR,…

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: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

A: follow next step

Q: In the standard (x, y) coordinate plane, what is the length of RS given R(8, 5) and S(-1,3) ?

A:

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

A: This problem is based on the properties of a parallelogram.  The solution is explained in step 2 in…

Q: 28. Determine the relationship between QJLK and JKLR if AQRP is equilateral and J, K, and L are…

A: J is midpoint of QR so, QJ=JR.   QRP is equilateral so QR=RP=PQ K is the midpoint of QP, so QK=…

Q: Two parallel straight lines are AB and CD and the line PQ intersects AB and CD at E and F…

A: Given that: Two parallel straight lines AB and CD are intersected by line PQ at E and F…

Q: Find the measure (in degrees, not equal to the given measure) of the least positive angle that IS…

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Q: Find the midpoint M of the line segment joining the points A = (7, 1) and B= =(1, 5). %3D %3D M = OD

A:

Q: In the diagram below of triangle RST, U is the midpoint of RT and V is the midpoint of ST . If mZT…

A: Triangle Question

Q: 24 А(-3, 2), В(5, —4)

A: Given A-3,2,B5,-4 to find a point that expresses the fact that an arbitrary point P(x, y) is on the…

Q: Tiven: DEFG is a rectangle, WE YG, WX YZ Prove: WXYZ is a parallelogram.

A:

Q: If EF is perpendicular to AB, then what are the measures of ZCGF and ZBHE?

A: Given,           EF¯ is perpendicular to AB¯.

Q: B 15 Using the figure above and the fact that line l is parallel to segment AC, prove that the sum…

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Q: Find m<2, if line segment TP is the angle bisector. Gnzl = 6x-2 and m/2 = 4x+ 18. %3D %3D Find m/2.

A: Given,         The line segment TP is the angle bisector.         ∠1 = 6x - 2 and        ∠2 = 4x +…

Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(1, 7) is the midpoint of…

A: mid point formula  x =(x1 +x2)/2 y =(y1 +y2)/2

Q: Suppose two circles intersect at A and B. Let C and D be points А on one of the circles, let C'A…

A: Meet the point A to B.

Q: A. Suppose that in triangle ABC, the ray which bisects angle A meets the opposite side at D. Prove…

A: Draw a line parallel to bisector line AD to meet line AC at E

Q: If p is the length of the perpendicular from the origin to the X y 1 1 line += 1, then prove that +…

A: