O. Case 1

Q: Given: line CB || line ED; line CB = line ED  Prove: triangle CBF = triangle EDF using isometric (ri...

A: Given information:line CB || line ED, line CB line ≅ ED line.

Q: What is the difference between supplementary angles and linear pairs?  Give an example

A: Linear pair requires angles to adjacent i.e. two angles must have one common arm and sum to 180 degr...

Q: Please respond to the boxes marked red.

A: (a) (iv)Let x represent the length of the side of the square cut-out to produces the maximum volume ...

Q: 2 M N R Given that 4M 4Q, MP 6, PR =4, and NQ-11, find PO. b. 8 a. 3 c. 2.25 d. 4.5

A: Given that

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: Help with this one

A: If B=(1,1) is reflected over y axis then we get (-1,1)So A is False

Q: the ration of men to women working for a company is 7 to 4.  if there are 143 employees total, how m...

A: Given:The ratio of men to women working for a company is 7 to 4. There are 143 employees total.

Q: Could you please explain this to me

A: Given, x = 20 degrees in the figure below

Q: 2. In the figure to the right, FE is a tangent to circle O. D and F are connected so that EG = GF. d...

A: Given from the figure

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: Wilson kicks the ball according to the rule (x,y) -> (x + 3, y - 7). Is a goal scored if the goal...

A: The answer will be yes. According to the rule of the translation the initial point represents the ho...

Q: A sign in an elavtor in France indicates that it's maximum weight capacity is 300 kilograms. What is...

A: Given:

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...

Q: What additional information would be necessary to prove that the two triangles, triangle XBY and tri...

A: Given:

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: Find the length of the missing side. Simplify all radicals.For question #2

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

Q: How can problem 9 be solved?

A: We know that the sizes of all the angles in a triangle add up to 180o.Now, we need to justify that t...

Q: A 12-ft ladder leans against the side of a house. The bottom of the ladder is 6ft from the side of t...

A: Given 12ft ladder leans against the side of a house and the bottom of the ladder is6ft from the side...

Q: 6. Lauriann and Kinsey are in charge of the annual pizza party. In the past, they’ve always ordered ...

A: Diameter of the pizza is 12 inchesIts radius is half of diameter and therefore is equals to 6 inches...

Q: The perimeter of an equilateral triangle is 12. Find the length of the apothem and the area of the t...

A: To find the apothem length and area of an equilateral triangle with given perimeter of 12.

Q: The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm2. Find ang...

A: Firstly, we find the value of x , by using the fact that perimeter is sum of all sides of parallelog...

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: 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: If the original sphere has a volume of 136 mm, find the diameter of a sphere with a surface area rat...

A: Given:

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: #2

A: Perimeter: This is the sum of all sides of a polygon.Area: This is the number of square units coveri...

Q: Nancy Wallin has just purchased a new house that is in need of new flooring. The cost of Pergo Selec...

A: Refer to the question. We have to calculate the cost for the flooring in the living/ dining room if ...

Q: Allowing any combination whatever of Unites States coins and bills less than $20 what is the largest...

A: Consider the coins in US currency as 1 cent (Penny), 5 cents (Nickel), 10 cents (Dime) and 25 cents ...

Q: Need help solving this problem please.

A: Given,

Q: I need help with truth tables. I understand the basic 'if this then that', but I don't understand wh...

A: Calculation:Let us consider a statement “If p, then q”, which can be symbolically represented as p →...

Q: Given the figure (I attached a screen shot), how do I prove that triangle AED is congruent to triang...

A: Given a triangle ABC with midpoints D,E,F of sides AC, AB, BC which forms one more triangle as shown...

Q: How much mulch will you need to cover a rectangular garden that is 20 feet by 30 feet with a 3-inch ...

A: Dimension of the rectangular garden: Length, L = 20 feetBreadth, B = 30 feetHeight of the layer of m...

Q: 3. What length ribbon will you need to stretch from the top of a 25-foot pole to a spot on the groun...

A: Let x be the length of the ribbon need to stretch from the top of the pole to a spot on the ground t...

Q: 4. On a baseball diamond (a square), the distance from home plate to first base is 90 feet. Find the...

A: On a baseball diamond(a square), the distance of home plate to first base is 90 ft

Q: which axioms for a finite projective plane are also valid in Euclidean geometry? which are not?

A: A finite geometry is any geometric system that has only a finite number of points. The familiar Eucl...

Q: A building casts a shadow 26 ft long. At the same time, the shadow cast by a 6 ft person is  1 3 ...

A: Consider the given informationBuilding shadow = 26 ftPerson height = 6 ftPerson shadow height = 134 ...

Q: Draw a map that shows the following route leading to buried treasure: Starting at the old tree, walk...

A: Given,Starting at the old tree, walk 10 paces heading straight for the tallest mountain in the dista...

Q: A punch bowl is in the shape of a hemisphere (half of a sphere) with a radius of 9 inches. The cup p...

A: Given information:A punch bowl in in the shape of a hemisphere (half of a sphere) with the radius of...

Q: A steel cable supports a telephone pole. The cable makes a 65 degree angle with the ground. The base...

A: Let us draw the figure of the given situation:Here, AC is the length of the cable and AB is the heig...

Q: Determine the shaded area 14 in.- 14 in. The shaded area is (Type a whole number.) Enter your answer...

A: Each side = 14 inch half of a side = 14/2 = 7 inch 

Q: One foot is 12 inches. Does this mean that 1 square foot is 12 square inches? Draw a picture showing...

A: We know that 1 foot is equal to 12 inches.So, 1 square foot = 1 foot × 1 foot = 12 inches × 12 inche...

Q: 13.3 #5

A: Before we get into the question, let's understand the characteristics of a right prism:Geometric sol...

Q: The Moon was was 362,399 km from Earth.The moon's true diameter is 3,474 km.Use the following relati...

A: The distance between the Earth and the Moon is 362,399 km. The true diameter of the moon is 3,474 km...

Q: part b

A: Given a closed box that is 5 in. wide, 4 in. deep, and 6 in. tall.

Q: Question about angle measurements

A: Given that lines  r and s are parallel to each other and are cut by transversal line t which is give...

Q: The perimeter of an equilateral triangle is 6. Find the length of the apothem AND the area of the tr...

A: According to the given information the perimeter of an equilateral triangle is 6.Since the perimeter...

Q: Find the equation of a circle centered at (-2,5) if it passes throught the point (4,5),

A: Given,

Q: The area Of a rhombus is 484 square millimeters. One diagonal is one-half as long as the other diago...

A: Area of a rhombus is 1/2(d1 × d2)  square units.From given, area = 484 square millimeters, one diago...

Q: A circle is graphed in the xy-plane. If the circle has a radius of 3 and the center of the circle is...

A: Equation of circle with center=(h,k) and radius= r is (x-h)^2+(y-k)^2=r^2

Q: Determine (a) the area and (b) the perimeter of the quadrilateral. Note that the figure is not drawn...

A: (a)Obtain the area of the quadrilateral as follows.

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.