A line parallel to a triangle's side splits segment AB into lengths of x 7 and x 3. The other side, segment AC, is split into lengths of x and x + 12. What is the length of segment AC? А. 21 В. 33 С. 54 D.

Q: Considering a typical meal serving line (with 300sq. ft. serving 7 employee/minute), in order to…

A: In a lunch break, 7 employees/ minute can be served meal in each line.  So, in 6 such parallel…

Q: Two parallel lines, m and n, are cut by transversal t, as shown in figure below. 1 /2 3/4 5 /6 7/8…

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Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠3 = 126°, what is m∠5?

A: The pairs of angles on one side of the transversal but inside the two lines are called Consecutive…

Q: Suppose line CD bisects segment AB at point M. If AM = 9x + 5 and AB = 30 what is the value of x?…

A: Since, it is given that line CD bisects segments AB at point M.Also, given that AM=9x+5 and AB=30Our…

Q: 4. DF= 35 3x 7x-5 E

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Q: Two parallel lines are cut by a transversal as shown below. Suppose mL1=81°. Find mL6 and mL7. 12 43…

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Q: What value of x would prove that lines /and m are parallel? (5x + 3) (9x-33)

A: For lines l and m to be parallel, The sum of internal angles made by intersecting line is 180°.

Q: What value of x would prove that lines /and mare parallel? (8x-31) (5y+35) (6x+3) 217 O 28 014

A: Given, l||mTo find: magnitude of x

Q: 2. What is another name for line m?

A: Here we have write another name for line m by looking at the given diagram.

Q: Quadrilateral EFGH is a rectangie. If mZFEG= 57, find mZGEH. %3D E K. H.

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Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠2 = 120°, what is m∠7?

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Q: The distance from the point (5, 3) to the line 2x +4y + 5 = 0 is O A. 2.457 B. 3.801 C. 4.63 D.…

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Q: What value of x would prove that lines /and m are parallel?

A: Given that lines m and l are parallel.

Q: 2. Find the angle between the lines 3x – 5y = 11 and 6y – 10x = 3.

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Q: Two parallel lines are cut by a transversal as shown below. Suppose m Z5 = 59°. Find m Z2 and m Z4.…

A: As from the figure, m∠1=m∠5   [exterior angle]m∠3=m∠5   [interior angle] Given…

Q: 4. Assume lines that appear tangent are tangent. What is the value of x? Hint: The sum of the…

A: The given circle is : To find the value of x

Q: Suppose that C= A-B. Under what circumstances is the length of C equal to the sum of the lengths of…

A: First option is correct. When A and B point in opposite directions.

Q: How far is the line 2/11x – 10 y + 24 = 0 from the origin? O 1 O 2 О з O 4

A: Given that: Equation of line is:            211x-10y+24=0

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: Consider rectangle RSTURSTU, where the diagonals of the rectangle intersect at point WW.   If…

A: Given problem:- Consider rectangle RSTU where the diagonals of the rectangle intersect at point W.…

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

A: TO  PROVE-  The pair of bisectors of the angles between the straight lines   (ax+ by)2 = c( bx-ay)2,…

Q: 9. Solve for x and y that make the lines parallel. 10. Fis mc

A: Let ∠1=x-4, ∠2=2x, ∠3=30, ∠4=5y

Q: factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: The dimensions of the lot is 120 ft by 160 ft. The area of the lawn and the area of the…

Q: Find the value of x that makes lines u and v parallel. 8) 9) x+ 62 7x+4 125° 60

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Q: Two parallel lines are cut by a transversal as shown below. Suppose mL5=127°. Find mL2 and mZ3. m Z2…

A: To find measure of angle 2 and measure of angle 3

Q: 2. the live in IR and haring Passing through He oryin as it's divechor vecter intersects the line…

A: The line in IR3 passing through the origin and having 1u3 as it's direction vector intersects the…

Q: Lines a, b, and c are coplanar, a II b, and a ± c. What can you conclude? explain?

A: Consider the given information as a∥b and a±c

Q: How far is the line 2/1īx – 10 y + 24 = 0 from the origin? O A. 1 O B. 2 O C. 3 O D. 4

A: We have to find the distance from origin

Q: Find the distance between the following paris of parallel straight lines  9x2-6xy+y2+18x-6y+8=0…

A: To the distance between the following pairs of parallel straight lines  The given pair of line…

Q: How to find the value of x that makes m and n parallel

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Q: Two parallel lines are cut by a transversal as shown below. Suppose mL3=149°. Find m25 and mL8. 8.…

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Q: The adjacent street map shows four avenues perpendicular to Saint-André Street. Each of these four…

A: Refer the diagram below for the distance between the saint andre street. Distance d is the required…

Q: The diagonals of rectangle QRST intersect at P. Given that mZPTS = 34° and QS = 10 , find RT. R 34°…

A: Given: m∠PTS=34° QS=10

Q: For what value of x is the quadrilateral a parallelogram 3x 11 x+5

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Q: Two parallel lines are cut by a transversal as shown below. Suppose m Z8 = 48°. Find m Z1 and m Z3.…

A: We can use the concept of parallel lines in order to solve the given problem .

Q: True or False. Assume line l is parallel to line m. True Faise 1. 22 is supplementary to 26 2. 24 =…

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Q: 3. Find the area of the quadrilateral enclosed by the lines x y = 0, 2x – 5y = –15 and 5x – 2y = 15.…

A: Let's find.

Q: Find the equation to the line belov y = [ ] %3D Ente

A: Given that we need to find the equation of the line below . By using graph scale  (That is one box…

Q: 5/ 6 10 11/ 12 15/ 16 13 14 1) If mZ1 = mZ3, what lines are parallel and what's the reason? 2) If…

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

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Q: What is the distance between points D(-10,2) and E(6, 10)? А. 16 В. 20 С. 10/2 D. 8V5

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Q: Two parallel lines are cut by a transversal as shown below. Suppose mL6=56°. Find m Z1 and mL3. s/6…

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Q: A small house was built on an island off a perfectly straight shoreline. The point B on the…

A: The given figure is: To find the formula for the cost of laying the pipe in terms of x.

Q: 2 14 - For what value of K is the line 2x+ky = 3 Perpen odicular to the line 4x+y=12 For what the…

A: We will find to the value of k when  the line ,2x+ky = 3 perpendicular to the line 4x+y=1 . And olso…

Q: If UV is not parallel to WX, what is m2X? U (142°

A: Trapezium Angles  For a regular or isosceles trapezium, the sets of angles adjoined by parallel…

Q: 1. What does the x-axis show? 2. What does the y-axis represent? 3. What does the length of each of…

A: Box and Whisker Plot: Basic Idea: In descriptive statistics, a box plot also referred as whisper…

Q: 2. Find the area of the triangle formed by the lines Sz + y – 14 = 0, z + 7y + 38 = 0, and 9z – 5y +…

A: First we find vertex of triangle by using given lines.

Q: LOUV is a rectangle. If mZLUO = (2w + 3)° and mZV LU = (3w – 1)°, || - find mZLUV. V Answer: MZLUV…

A: Consider the following figure: □LOUV is a rectangle. m∠LUO=2w+3°m∠VLU=3w-1° LO∥UV Segment LU is a…

Q: Find the product of the lengths of the perpendiculars drawn from (2,1) upon the lines…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.