Q: AB and CD are diameters of the circle centered at O. Prove that lines AD and BC are parallel. (Your ...

A: Solution: To prove AD and BC parallel, we will use corresponding angle property.First, we will draw ...

Q: Question: (12x 8)9 (4x 6)° (7x- 6)° Find the value of x Find the value of x.

A: Since, in a triangle, we know the rule that: "the external angle of a triangle is equal to the sum o...

Q: The image of polygon MNOP after a similarity transformation is polygon WXYZ. Each side of MNOP is 2 ...

A: The ratio of corresponding sides of WXYZ and MNOP is 1/2 because :Each side of MNOP is 2 times as lo...

Q: C2 C1 IM

A: The distance between the two centers of the two circles C1 and C2 is 10 cm andboth the circles ha...

Q: Imagine you are planning to use circles to visually compare the populations of California (38,800,00...

A: Area of the circle with radius r is given by:Given radius for New York is 6cm. So the area is given ...

Q: Find the equation of a line passing through point (3,-2) and perpendicular to the line 2x + 3y + 4-0...

A: To find slope of the given line, we express it in a standard form, y = mx + c, we get:

Q: What are two formulas for finding the area of a square?

A: Case 1: If the length of the side is given, then the formula to find the area is Ar...

Q: Please provide solution to the attached question on 3D Geometry.

A: From the given equations of line in Cartesian form, we can write down direction vector and a point o...

Q: What is the fomula for the volume of a sphere?

A: A sphere is a set of points in space that are a given distance r from the center.

Q: A survey asked buyers whether color, size,or brand influenced their choice of cellphone. The results...

A: Here given information about a survey which asked buyers whether color, size,or brand influenced the...

Q: If six is subtracted from three times a number , the difference is twice the number. What is the num...

A: According to the given information3x - 6 = 2x

Q: 2. 15 3. 32

A: So here we are given a right angled traingle as shown in the figure provided below :

Q: Find the length between each pair of points.(-1, 6) and (7, 2)

A: Formula used:

Q: I 17 in 8 in 24 in

A: Now we have CD=8, DB = 24 and AD = 17

Q: 26. Find the area of the shaded region. 6 6 6 6 6 6 6 6

A: We have

Q: 18. V-6144π units' 16

A: Formula used:

Q: 3. 40 41 4.

A: Formula used:Volume of right circular cone

Q: Classify the following statement as a simple, a conjunction, a disjunction, or a conditional, if pos...

A: Statement: Do not worry and be happy.Part1: Do not worryPart2: Be happy.As we can see the statement...

Q: 3. 40 41 4.

A: GIven, h = 40 and l = 41

Q: If the line containing the points (a,5) and (7,14) is parallel to another line with slope 3, find a....

A: Let the equation of the line passing the points (a,5) and (7,14) be;

Q: If the point (a,4) is equidistant from the points A(5, -2) and B(3,4), find a. Explain.

A: Formula used:Distance between A(x1. y1) and (x2, y2) is

Q: Find the point on the y-axis that is equidistant from the points A(-4,-2) and B(3,1).

A: Given points (-4,-2) & (3,1)Point on y-axis means x-coordinate is zero i.e.,point is (0,y)

Q: Prove that all the points on a perpendicular bisector of a line segment AB are equidistant from the ...

A: Statement:All the points on a perpendicular bisector of a line segment AB are equidistant from the e...

Q: Prove that in any triangle ABC, the medians are concurrent.

A: Known Fact:The formula of co-ordinates of the point dividing the line segment joining two given poin...

Q: Prove that in any triangle ABC the altitudes are concurrent.

A: Here we need to prove that in any triangle ABC the altitudes are concurrent. Let us consider a trian...

Q: Prove that if ABCD is a parallelogram, then its diagonals bisect each other.

A: Let us consider a paralellogram ABCD which have diagonals AC And BD and intersect at point E

Q: Prove that if the diagonals of a quadrilateral ABCD bisect each other, then ABCD is a parallelogram.

A: Here given that diagonals of quadrilateral bisect each other and we need to prove that the quadrilat...

Q: Find the length between each pair of points.20. (-1, 6) and (7, 2)

A: Formula used:Distance between two points A(x1, y1) and B(x2, y2) is

Q: The ratio of width to height of a golden rectangle is given by the golden ratio, which is StartFrac...

A: First we set the ratio to find the width.THen we do cross multiplication to get rid of fraction .

Q: A line segment is divided in two segments, such that the ratio of the long segment to the short seg...

A: We have given,A line segment divided into two segments. Such that ratio of long segment to short seg...

Q: What is the answer to 3x/8 = 6/x

A: First we perform cross multiplication to get rid of fractions.And then we divide both sides by 3, to...

Q: Find the area of the shape shown in the diagram below (dimensions are in ft): 6 6 6 15 42 ft2 96 ft2...

A: Given figure with dimensions in feet is shown below. We need to find the area of the shape. We label...

Q: how do you solve pythagerom therom

A: We need to write about the Pythagorean theorem.

Q: Discuss why is it easy to give an incorrect solution to the following area problem and what you must...

A: Given that "Draw a shape that has an area of 3 square inches".Here it can be misunderstood about the...

Q: In Exercises 7 to 16, name the lines (if any) that must be par- allel under the given conditions. 21...

A: We have given figure.From this figure we need to answer the questions

Q: PRACTICAL GEOMETRY Self-Test 185 Self-Test How many bolts are required for the joint shown on the sk...

A: Firstly,convert feet into inches and diameter into radius and then outer circumference of tank

Q: Identify what type of conic section is given by the equation below and then find thecenter, foci, an...

A: We need to rewrite the equation in the form (x-h)^2/a^2-(y-k)^2/b^2=1 by using completing the squar...