On a coordinate plane, a line segment has endpoints P(6, 2) and Q(3, 8). Point M lies on PQ and divides the segment so that the ratio of PM:MQ is 3:2. What are the coordinates of point M? O A. (4.5, 5.0) ов (5.6,4.2) O C (4.8, 4.4) OD (4.2, 5.6)

Q: The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of…

A: Solution:the points L,M,N, & O all lie on the sameline sement.the ratio of LM : MN : NO = 6 : 1…

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Q: Given directed line segment AB, where A(0,0) and B(6,0). Determine the point P that partitions the…

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Q: 12. The perimeter of a parallelogram is 34 cm. if a diagonal is 1 cm less than its length and 8 cm…

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Q: An ice cream cone has a radius of r and a slant height of 3r. A scoop of ice cream with radius 2r is…

A: By using the Pythagorean theorem we find the height of the cone

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Q: Given the parallelogram LAST with diagonals LS and AT that intersect at E. the questions that…

A: Answer 2: 2∠LAS = 360 - 2(∠TLA)            =360 - 2(105)                 =150 ∠LAS = 75°

Q: If a point on the pre-image has coordinates (3, -4), and the coordinates of its image are (12, -16),…

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Q: given the points M (-3, -4) and T (5, 0), find the coordinates of the points Q on directed line…

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Q: The measures of the three sides of a triangle are AB=30cm AC=50cm , and BC=60cm . From a point D on…

A: Given

Q: Ex1: In AABC, the cevians AD, BE, CF meet at point P. If the points D,E,F divide their lines with…

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Q: The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM…

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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: Find the point, M, that divides segment AB into a ratio of 5:2 if A is at (1, 2) and B is at (8,…

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A: Explained below

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Q: Given the endpoints of the line segment MN, M (-4, 6) and N (10, -1), find the coordinate of point P…

A: Let's find the coordinates of P as shown below

Q: Using the points P(-5,–3), Q(7, 4), and M(4, 2.25): a. Compute the distance from P to M and the…

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Q: The points H, I, J and K all lie on the same line segment, in that order, such that the ratio of HI…

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Q: Given the points A(5, -1) and B(-5, 3), find the coordinates of the point P on directed line segment…

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Q: In a parallelogram ABCD, P divides AB in the ratio 2:5 and Q divides DC in the ratio 3:2. If AC and…

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Q: Given the points A(-2, 1) and B(4, 5), find the coordinates of the point P on directed line segment…

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Q: A parallelogram has sides AB, BC, CD, and DA. Given A(1,–1, 8), C(a, b, c), the midpoint M(1,0, 2)…

A: Given:  A parallelogram has sides AB, BC, CD, and DA. Given A1, -1, 8, Ca, b, c, the midpoint M1, 0,…

Q: O is the center of a circle whose circumference passes through the vertices of an equilateral…

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Q: 1. Given two segments with lengths M and N, where M N, describe and sketch a parallelogram that…

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

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Q: Two regular octagons have sides of length 6V3 and 9. The ratio of their areas is: a. 2/3:3 b. 4:3 c.…

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Q: 7. Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line…

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Q: In rectangle ABCD of Figure 1.13, the line segments AC and BD shown are the diagonals of the…

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Q: The points G, H, I and J all lie on the same line segment, in that order, such that the ratio of…

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Q: A. In AABC, Q, R, and S are the midpoints of segments BC, AC and AB, respectively. If AB = 30 cm, AC…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Given the points L(-2,5) and M(2, –3), point Q (,-?) partitions LM in the ratio A 1:4 В 1:5 4:1 D…

A: Solution is given below:

Q: In rectangle ABCD of Figure P.25, the line segments AC and BD shown are the diago- nals of the…

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Q: Segment KL К (12, 12) L(-6,6)

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Q: The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM…

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Q: The points C, D, E and F all lie on the same line segment, in that order, such that the ratio of CD…

A: Topic- ratio and proportion

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Q: The endpoints of MP are M(1,4) and P(16,14). If A partitions MP in a ratio of MA: AP = 2:1, which of…

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Q: Find the distance (to the nearest hundredth) between the points P 1(4.7, -3.6) and P 2(-5.5,-2).…

A: Explanation and solutions is given below....

Q: The endpoints of MP are M(1,4) and P(16,14). If A partitions MP in a ratio of MA: AP = 2: 1, which…

A: Our Aim is to find the coordinates of A.

Q: For concave pentagon ABCDE, find the measure of the reflex angle at vertex E (in degrees) if  m∠A =…

A: For concave pentagon ABCDE, find the measure of the reflex angle at vertex E (in degrees) if  m∠A =…

Q: The parallelograms below are not drawn to scale. 4.2 I. |2.2 2.6 II. 1.1 5.2 III. | 2.2 2.4 IV. 1.1…

A: Topic - similarity of parallelograms Option  C is correct

Q: Verify that DE and WX are parallel. The length of segment FW =3.5, WD 4.5, FX = 4.9, and XE =6.3.…

A: Given, FW=3.5, WD=4.5, FX=4.9, and XE=6.3

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.