Theorem: If 3 or more parallel lines gre cut by 2 transversals, then the segments of the transversals are in proportion. y By drawing an auxiliary line to create two similar triangles that share a common side, v will show: x' y y'

Q: 6. If ZDEF is a straight angle, mZDEG = (23x-3), and MZGEF = (12x + 8)", find each measure. %3D %3D…

A: Since you have asked multiple question, As per our policy we will solve the first question for you.…

Q: If PQ = 3y - 34 and PS = y, find PS in parallelogram QRST. R PS : ト

A: Given that PQ=3y-34 and PS=y in a parallelogram QRST To find the value of PS.

Q: 2. Nrite the stand ard epuation of the circle vith center (2,0) and radius .

A: We have to write the standard equation of the circle when center and radius is given. standard…

Q: 2.4. What is the center and the radius of a circle given by the equation x² + y² + 4x – 10y + 20 =…

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Q: iv) y=-x- 3 1 v) y=-2x+ vi) y=;* 1 21 y y y 1 =-2.5 1 2 2 y y y 2 2 2 -2 -2 -2 2 -2 2 2 y-intercept:…

A: We have to write equation in the form x/a+y/b=1 for y-intercept , here b is y-intercept

Q: 3. The points A(0,1), B(2,0) and C(3, −4) form a triangle. Find the angle ZBAC. (a) ∠BAC = arccos…

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Q: ). The “lead-in groove” is 6 inches from the center of an LP, while the “exit groove” is 1 inch from…

A: Solution

Q: X is the center of one circle, Y is the center of the other. How do you know that triangle XYZ is…

A: We will show how the triangle XYZ is an equilateral triangle as following

Q: Complete the coordinates: A(-4,) and B( 6). Then, find the length and midpoint of AB. Show work with…

A: See that, the point A is at 2 unit below the X-axis, which is shown by the bold horizontal line.…

Q: Create the formula for circles with center on the line y = -x and passes through the origin

A: Introduction The equation of circle gives an algebraic approach to define a circle given its centre…

Q: a. (x - 2) 2 + (y - 2) 2 = 40 b. (x - 2) 2 + (x + 2) 2 = 34 10. If the equation of the circle is x2…

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Q: 14.) Using the equation of a circle (x- 3)² + y? = 49 find the radius and the center:

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Q: AJKL is a right triangle So KL is perpendicular t Therefore, by Theore

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Q: ZRQT is a straight angle. What are mZRQS and MZTQS? (11x+8)° / (8x+1)° R MZRQS =

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Q: unit perpendicular

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Q: In the following diagram, we have isosceles triangle AABC with base angles /A and /C C. If m/BAC…

A: We have to find angle

Q: If a ray QT bisects ZRQS , what would be the measure of one of the resulting angles? R. (x + 1) (3x…

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Q: Use the following points: P(7,-5,5) Q(-5,10,10), R(-8,8,4), S(-20,23,1) A: Find the area of the…

A: Given points are: P(7,-5,5),Q(-5,10,10), R(-8,8,4), S(-20,23,1)

Q: 3. Summarize the possible ways the following figures could intersect: a. two lines b. a line and a…

A: We have to summarize  the possible ways that following figures could intersects. a) two lines b) a…

Q: Use the analytic method to decide what type of triangle is formed when the midpoints of the sides of…

A: Given: An isosceles triangle let say △ABC with AB=AC To determine: The nature of triangle formed…

Q: Find the angle at which the circle  x2+y2 +x+y=0 and x2 +y2 + x-y=0 intersect.

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Q: 52.The parallelogram A B C D is placed such that : A (5,2), B (9.5, 8), C = (xc, Yc), D (xd ,Yd).…

A: Given information:The parallelogram  with the vertices  and .It is provided that the distance…

Q: A figure has slopes of 5/7, -7/5, 5/7, -7/5.  What si the most precise name of the shape? 1.…

A: A figure has slopes of 57, -75, 57, -75. To find what is the most precise name of the shape?

Q: 2) 4x² + 4y² - 16x - 24y + 51 = 0

A: To find out the center and radius of the given circle by the help of completing square method.

Q: 1. Consider triangle AABC on the coordinate plane. Let P = (-2, 1) and Q = (2,1). Point P is on side…

A: We are authorized to solve only 3 subpart of question, please repost remaining parts

Q: A

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Q: find coordinates for a point / that makes angle JKM

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Q: (a) Draw AXYZ with XY = 4cm, YZ = 6cm and ZXYZ= 35°. (b) Measure and write down the length of side…

A: Given,  We have to draw ∆XYZ  with  XY = 4 cm ,  YZ = 6 cm   and  ∠XYZ = 35°  (b) Then measure and…

Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…

Q: em is parallel to line n, mZ1 = (3x + 3) and mZ2 = (4x - 5) °. What is the measure of angle 1? %3D

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Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

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