The figure belows shows two larger circles of radius 1 inscribed in a square in such a way that they are tangent to each other at the center of the square, and are each tangent to two of the sides of the square. The smaller circles have radius r and each of these circles are tangent to two sides of the square and tangent to a line segment that is simultaneously tangent to the two larger circles. Find r, and give a detailed proof that your answer is correct. Make sure to explicitly state all axioms, definitions, and theorems that you are using.

Q: Geometry Question

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Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle 19π/6.

A: To find the coterminal for a given angle, Subtract 2π from 19π/6, => (19π/6) - 2π

Q: 3, BC=4, and CB←→ tangent to ⊙A at B. Can it be concluded that AC=5? Explain. No, AC does not…

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Q: Determine whether it is possible to draw each of the following figures. (a) a triangle that is…

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Q: The sum of all the measures of the exterior angles of a triangle is equal to (1) 90 (3) 270° (4) 360…

A: By using triangle property, we measure the sum of exterior angles

Q: Consider a right triangle with a side of length x opposite angle AA, a side of length yy opposite…

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Q: Russel and Mikko were tasked by sir Gian to take a picture of a certain status from a platform, the…

A: Let the angles, be θ,α as drawn in the figure. From , the figure we have : tan α=8x --(1) and, tan…

Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle 25π/6.

A: Coterminal angle: Finding coterminal angle is as simple as adding or subtracting to 360∘ or 2π.

Q: 3. The distance between two distinct points (x1, y1) and (x2, y2) is given by the formula

A: Given: Points x1, y1 and x2, y2

Q: Mo is on a baseball team and hears that a ball thrown at a 45 degree angle from the ground will…

A: We know that,

Q: point

A: Please refer to the image below

Q: W

A: here we have two triangles,  ∆UVW and ∆XYZ

Q: Prove the following:

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Q: find the length of the arl 30 rse from f=0 to 0 =2

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Q: (40) Find one negative angle coterminal to angle = 7″. 6

A: Angle = 7π6

Q: Draw a blue ray from the pole to point O and consider the ray as 'positive' radius. Now, change…

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Q: HiW Are the ollowing complex functions or not. auna lytic eire fiz) = é @ $(Z) = Z Z*.

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.