Question 1

$\overline{AB}$ is tangent to $\odot O$. If $\overline{AO}$ = 24 and $\overline{BC}$ = 50, find the length of $\overline{AB}$.

Accepted Answer

70

Answer

94

Answer

100

Answer

74

Question 2

$\overline{WZ}$ and $\overline{XR}$ are diameters. Find $m\widehat{ZWX}$.

Accepted Answer

211$^{\circ}$

Answer

70$^{\circ}$

Answer

259$^{\circ}$

Answer

290$^{\circ}$

Question 3

In $\odot O$, $m\angle{R}$ = 23$^{\circ}$. Find $m\angle{O}$.

Accepted Answer

46$^{\circ}$

Answer

67$^{\circ}$

Answer

157$^{\circ}$

Answer

23$^{\circ}$

Question 4

$\overline{JK}$, $\overline{JL}$, and $\overline{LJ}$ are all tangent to $\odot O$. $\overline{JA}$ = 9, $\overline{AL}$ = 10, $\overline{CK}$ = 14. Find the perimeter of $\bigtriangleup JKL$.

Accepted Answer

66

Answer

46

Answer

33

Answer

38

Question 5

In $\odot O$, $\overline{PQ}$ is a tangent line. Find the value of $x$ if $m\angle{P}$ = 14$^{\circ}$.

Accepted Answer

76

Answer

28

Answer

38

Answer

104

Question 6

Given $m\angle{O}$ = 135$^{\circ}$, find the value of $x$.

Accepted Answer

45$^{\circ}$

Answer

67.5$^{\circ}$

Answer

270$^{\circ}$

Answer

315$^{\circ}$

Question 7

$\overleftrightarrow{PQ}$ is tangent to the circle at $C$. In the circle, $m\widehat{AD}$ = 92$^{\circ}$ and $m\angle{D}$ = 78$^{\circ}$. Find $m\angle{DCQ}$.

Accepted Answer

56$^{\circ}$

Answer

112$^{\circ}$

Answer

190$^{\circ}$

Answer

95$^{\circ}$

Question 8

$m\widehat{DE}$ = 120$^{\circ}$ and $m\widehat{BC}$ = 53$^{\circ}$. Find $m\angle{A}$.

Accepted Answer

33.5$^{\circ}$

Answer

67$^{\circ}$

Answer

86.5$^{\circ}$

Answer

93.5$^{\circ}$

Question 9

Find the value of $x$ when $m\widehat{AB}$ = 46$^{\circ}$ and $m\widehat{CD}$ = 25$^{\circ}$.

Accepted Answer

35.5$^{\circ}$

Answer

21$^{\circ}$

Answer

71$^{\circ}$

Answer

58.5$^{\circ}$

Question 10

Find the value of $x$. Round your answer to the nearest tenth.

Accepted Answer

10.7

Answer

3.4

Answer

9.6

Answer

2.4

Question 11

$\overline{AD}$ is tangent to $\odot O$ at $D$. Find the length of $\overline{BC}$ and round to the nearest tenth if necessary.

Accepted Answer

18

Answer

10.7

Answer

6

Answer

8.2

Question 12

A chain fits tightly around two gears as shown in the diagram. The distance between the center of each gear is 37 inches. The radius of the larger gear is 13 inches. Find the radius of the smaller gear. Round your answer to the nearest tenth if necessary.

Accepted Answer

4.5

Answer

8.5

Answer

13

Answer

21.5

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