Problem 6. (a) (5 pts) A dart lands randomly on a board with colored sectors: 6 sectors colored red, 6 sectors colored
blue and 8 sectors colored black. If your dart lands on a red sector, you win $5, if it lands on a black
sector, you win $10, if it lands on a blue sector you lose $8. What is the expected value if you play this
game?
(b) (5 pts) A pair of fancy shoes are on sale for $171.40 which is 33% of the original price. What is the
original price? (Round to the nearest cent)

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation: