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Elementary Geometry For College Students, 7e
- Given that mAC:mBC:mAB=4:3:2 in circle O: a Which arc is largest? b Which chord is longest?arrow_forwardThe center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of radius length 3 in. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.arrow_forwardX, Y, and Z are on circle O such that mXY=120, mYZ=130, and mXZ=110. Suppose that triangle XYZ is drawn and that the triangle ABC is constructed with its sides tangent to circle O at X, Y, and Z. Are XYZ and ABC similar triangles?arrow_forward
- The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent to the larger circle and to two sides of the square, as shown. Find the length of the radius of the smaller circle.arrow_forwardOn a fitting for a hex wrench, the distance from the center o to a vertex is 5mm The length of radius OB of the circle is 10mm. If OCDE at F, how long is FC?arrow_forwardProve by the indirect method: Given: Scalene XYZ in which ZW bisects XZY point W lies on XY. Prove: ZW is not perpendicular to XYarrow_forward
- For Exercises 9 and 10, consider isosceles trapezoid RSTV with RSVT , and midpoints M, N, P, Q of the sides. Does a QN=12(RS+VT)?. b MP=12(RV+ST)?. Exercises 9, 10arrow_forwardThe center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.arrow_forwardIn ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._arrow_forward
- Given: AB is an external tangent to O and Q at points A and B; radii lengths for O and Q are 4 and 9. Find: AB HINT: The line of centers OQ contains point C, the point at which O and Q are tangent.arrow_forwardIf the area of the 1200 sector is 40 cm2 and the area of MON is 16 cm2, what is the area of the segment bounded by MN- and MN?arrow_forwardThe center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.arrow_forward
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