Exercise #2: In the following diagram of right triangle AABC , the altitude has been drawn from vertex C to the hypotenuse АВ , creating two additional right triangles, AACD and ACBD . (a) Why can you argue that AABC ~ AACD ? Likewise AABC ~ ACBD ? (b) Based on (a), why can you argue that AACD ~ ACBD ? B (c) Draw the two smaller triangles in the same orientation as AABC . (d) If AD=8 and BD=2 then find the length of CD and BC . Express all answers in simplest form.

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A:

Q: も。 At the right is the top view of a Chemistry Bullding in UP Diliman. It resembles the famous…

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Q: The chord of a parabolic arch is 10 cm and is 12 cm from the vertex. Calculate the perimeter of the…

A: The formula for perimeter of parabola is P=12b2+16a2+b28aln4a+b2+16a2b, where a is the distance of…

Q: 5. If the receiver is placed at the focus of the satelite dish shaped like a paraboloid which has a…

A: Let's find.

Q: B. Constructing a parallel through a point (rhombus method) Given: PQ and point K

A: Steps:  1) Place the compasses on point K and set its width to a little more than the distance to…

Q: A flashlight is shaped like a paraboloid and the light source is placed at the focus so that the…

A: Given the flashlight is shaped like a paraboloid and the light source is placed at the focus so that…

Q: A bridge is to be built in the shape of a semielliptical arch and is to have a span of 100 feet.The…

A: Given: A bridge is to be built in the shape of a semielliptical arch and is to have a span of 100…

Q: In the following diagram, a square-based pyramid was positioned, so that both its vertex and…

A:

Q: ) Explain why AM is the perpendicular bisector of BC.

A:

Q: Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

A: Let P(3,0), Q(4,0) and R(5,0) be three vertices.  It is known that the equation of hyperbolic line…

Q: In a right triangle, with legs a and b and hypotenuse c, thePythagorean Theorem states that_________

A: It is given that, In a right triangle with a leg a and b and hypotenuse c.

Q: If you project a square onto a plane, what shape do you get?

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Q: Graph the parabol 1 %3D -/-

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Q: Find b and c so that y = – 5z² + bz + c has vertex (9, 1). c =

A: The given equation y=-5x2+bx+c has a vertex at (9, 1). The given equation is an equation of a…

Q: Create a two-way tunnel parabolic tunnel, given the dimensions, 16 feet by 34 feet, in standard and…

A: X is half of traffic width , 34 - 58 feet is 17 to 29 feet now we will allowable vehicle height as…

Q: Given two similar figures, it might not be possible to transform one into the other using only a…

A: Dilation is a transformation, in which the size of the given figure increase or decrease by a given…

Q: Show that in hyperbolic geometry, the vertices of a triangle can belong to the same circumference.

A: Hyperbolic geometry comes into consideration when surfaces are curved not like surface of a room or…

Q: 10.) An equilateral triangular prism with all edges 4V3.

A: We know that, the surface area of an equilateral prism is, 2×3a24+3a×h where a is the side of the…

Q: Find the equation of the perpendicular bisector of side of the triangle having vertices A…

A: The triangle has vertices A (-1,-3),B(5,-3) and C(5,5) so to find the perpendicular bisectors let D,…

Q: that you can put a 5 x 5 square lattice. On that 5 x 5 square lattice be imaginative and creative in…

A: We have to draw the following in 5 x 5 square lattice   (1) A parallelogram that is not a rectangle.…

Q: A triangle is inscribed in a rectangular hyperbola such that the tangent at one of the vertices is…

A:

Q: Given two similar figures, it might not be possible to transform one into the other using only a…

A: The shapes or images can be altered using the transformations. The common types of transformations…

Q: find the circumcenter of the triangle whose vertices are (1 3) (0 -2) (-3 1)

A:

Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

A: It is given that The cross-section is a parabola. Let the vertex of the parabola be at the origin of…

Q: 1.) A gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0,20), and the width of…

A: Given, a gateway  is a parabolic shape whose vertex  is 20 ft. From the ground, (0, 20), and the…

Q: The Cassegrain telescope design (dating back to 1672) makes use of the reflective properties of both…

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Q: explain why there is not enough information to state that CP is the perpendicular bisector of AB

A: The Perpendicular Bisector Theorem states that a point on the perpendicular bisector of a line…

Q: 2. What are the coordinates of the fourth vertex C so that rectangle ABCD is formed? Bty (-1,6) 81y…

A:

Q: It is true that the vertex is halfway between tje focus and the directrix on the principal axis

A: Yes, the vertex is halfway between focus and the directrix on the principle axis

Q: A IXL -Review: properties of quadr X A%5B"1Wei8huolz7dxGv4YXmDK_eYrsAdVAq91"%5D%2C"action"%3A...…

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Q: A searchlight is shaped like a paraboloid of revolution.If the light source is located 2 feet from…

A: draw the parabola used to form the searchlight on a rectangular coordinate system so that the vertex…

Q: satellite dish shaped like a paraboloid, has a diameter 2.4ft and depth 0.9ft. If the receiver is…

A:

Q: Which quadric surfaces have both hyperbolas and parabolas as traces?

A: Consider the given: The intersection of a three-dimensional surface and a plane is called a trace.…

Q: R RSTU is a parallelogram. If M2TSV = 31° and M²SVT = 126°, explain how you can find the measure of…

A: Given data: *The angle TSV is m∠TSV=31° *The angle SVT is m∠SVT=126° The diagram below represents…

Q: A contractor building eight ocean-front condominiums wants to maximize the view of the ocea for each…

A: length x facing the ocean at an angle of 70° from a line perpendicular to the ocean.

Q: In a right triangle, with legs a and b and hypotenuse c, thePythagorean Theorem states that .

A: In a right triangle, with legs a and b and hypotenusec, the Pythagorean Theorem states  that______

Q: The towers of a 60 meter parabolic suspension bridge are 15 m high  and the lowest point of the…

A: Topic name-  use of parabolic formulas  in practical design

Q: Which kind of symmetry do all of these figures have?

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Q: What is the image of the point (-5, 2) under the translation T34?

A:

Q: Lilli is about to have her 3-D printer print a tetrahedron. She can choose to have it constructed…

A: Explained below

Q: I, 7y? da, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)

A: Integral

Q: shows Rhombus MNPS with diagonals intersecting at Point Q. 59 M To find m/NPS, Roberto completed the…

A: Given: MNPS is a rhombus. And, ∠MNQ=59∘ The objective is to find ∠NPS.

Q: In the following diagram, a square-based pyramid was positioned, so that both its vertex and…

A:

Q: The diagram below shows Rhombus MNPS with diagonals intersecting at Point Q. 59 To find m< NPS,…

A: The objective is to find the reason to justify step 3.

Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A: It can be solved easily by using geometrical figures properties.

Q: When the 2-D shape is completely drawn, how many points will be inside the 2-D shape?

A:

Q: calculate Sry³ dA where Ris the vertex of the triangle (0, 2), (1,1) and (3,3 )|

A: The sketch of R is

Q: Philip was asked to find the number of vertices of a polyhedron with 32 faces and 60 edges. What is…

A: Philip was asked to find the number of vertices of a polyhedron with 32 faces and 60 edges. What is…

Q: For the polygon above, mz2 = 70, mz3 = 107, mz4 = 75. What is the value of mz1 in this %3D polygon?

A: Angle 2 = 70 , angle 3 = 107 , angle 4 = 75 .

Q: A human statue standing on a base column has a height of 4/2ft. At point P on the ground, the angle…

A: Consider the figure given below : Let 'd' represents the distance to be found out.

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.