See Problem 3.

Algebra Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not a whole number, round to the nearest tenth.

15. 
16. 
17. 
18. 
19. 
20. 
    Image Long Description

B Apply

Algebra C A ¯ c eh bar  and C B ¯ c b bar  are tangents to ⊙ O . circle dot o .  Write an expression for each arc or angle in terms of the given variable.

21. m A D B ⌢ m . modified eh d b with frown above  using x
22. m ∠ C m angle c  using x

23. m A B ⌢ m , modified eh b with frown above  Using y

    

Find the diameter of ⊙ O . circle dot o .  A line that appears to be tangent is tangent. If your answer is not a whole number, round it to the nearest tenth.

24. 
25. 
26. 
27. A circle is inscribed in a quadrilateral whose four angles have measures 85, 76, 94, and 105. Find the measures of the four arcs between consecutive points of tangency.
28. Engineering The basis for the design of the Wankel rotary engine is an equilateral triangle. Each side of the triangle is a chord to an arc of a circle. The opposite vertex of the triangle is the center of the circle that forms the arc. In the diagram below, each side of the equilateral triangle is 8 in. long.
    1. Use what you know about equilateral triangles and find the value of x.

    2. Reasoning Copy the diagram and complete the circle with the given center. Then use Theorem 12-15 to find the value of x. Show that your answers to parts (a) and (b) are equal.

       

       Wankel engine

       

Table of Contents