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Elementary Geometry for College Students
- Circles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible, explain what type of triangle PQO is if: a OX=2,PY=3,QZ=1 b OX=2,PY=3,QZ=2arrow_forwardA tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?arrow_forwardSketch two circles that have: a No common tangents b Exactly two common tangents c Exactly three common tangents d Exactly three common tangents e Exactly four common tangentsarrow_forward
- For the two circles in figures a, b, and c, find the total number of common tangents internal and external.arrow_forwardGiven the tangents with mRT=146, find : a mRST b m3arrow_forwardUse the information given in Figure 1 to find x, h, s, and r if y=3. (Note: s is the distance from A to D. and y is the distance from D to B .)arrow_forward
- Can a circle be inscribed in each of the following figures? a Parallelogram c Rectangle b Rhombus d Squarearrow_forwardCan a circle be circumscribed about each of the following figures? Why or why not? a Parallelogram c Rectangle b Rhombus d Squarearrow_forwardGiven: 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_forward
- Determine the type of triangle represented if the lengths of its sides are: a a=1.5, b= 2 and c = 2.5 b a= 20, b= 21 and c = 29 c a=10, b= 12, and c =16 d a= 5, b= 7 and c = 9arrow_forwardThe following problem is based on the Parallelogram Law. In the scaled drawing, each unit corresponds to 50 mph. A small airplane travels due east at 250 mph. The wind is blowing at 50 mph in the direction due north. Using the indicated diagonal and use it to determine the speed of the airplane in miles per hour.arrow_forwardTo unload groceries from a delivery truck at the Piggly Wiggly Market, an 8-ft ramp that rises 4 ft to the door of the trailer is used. What is the measure of the indicated angle D?arrow_forward
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