1. The sides of AB and AC of a triangle ABC are produced to D and E respectively such that DBC=125° and BCE=95°, find the value of BAC.

2. In a triangle ABC, BAC= 48° and ABC=100°, calculate the acute angle between the internal bisectors of ABC and BCA.

3. The angles of a quadrilateral are 4x, x+10, 9x-30 and 3x+20. The value of x is..

4. Each of the exterior angle of a regular polygon is 24°. How many sides has the polygon?

5. Each interior angle of an eight-sided polygon is equal to...

6. The interior angles of a pentagon are 130°, 118°, 80°, 78° and x. Find the value of x

7. The ratio of the interior angle to to the exterior angle in a regular polygon is 1.4, what is the number of sides

8. The two adjacent angles on a straight line are(x-60) 0 and (y+30). The value of x+y is

9. Calculate the sum of angles in a regular decagon

10. When two straight lines cross each other, which angle is formed

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Lydia collected two sets of data one set of data shows an outlier. which set has an outlier, and which number is the outlier?

James is playing his favorite game at the arcade. after playing the game 33 times, he has 88 tokens remaining. he initially had 2020 tokens, and the game costs the same number of tokens each time. the number tt of tokens james has is a function of gg, the number of games he plays