Answer:
- m∠1 = 43°27'
- m∠2 = 136°33'
- m∠4 = 136°33'
Step-by-step explanation:
Angles 1 and 3 are vertical angles, so are equal:
m∠1 = m∠3 = 43°27'
Angles 2 and 3 are a linear pair, so are supplementary:
m∠2 = 180° - m∠3 = 180° - 43°27' = 136°33'
Angles 2 and 4 are also vertical angles, so are equal:
m∠4 = m∠2 = 136°33'
_____
There are 60 minutes in a degree, so 180° is the same as 179°60'. Subtraction can proceed in the usual way after this rewrite:
180° - 43°27' = 179°60' -43°27'
= (179 -43)° +(60 -27)' = 136°33'
Answer:
Assuming they bought the same shoes, $82.5
Step-by-step explanation:
80% of Original Shoe price = $82
Divide by 0.8 to find the original price.
82 / 0.8 = 102.5
102.5-20=82.5
Answer: Choice D
Step-by-step explanation:
cos(32) = 0.8480480962
cos(58) = 0.5299192642
cos(68) = 0.3746065934
sin(32) = 0.5299192642
sin(58) = 0.8480480962
Cos(58) = sin(32)
Cos(32) = sin(58)
Answer: P(Upper E' prime) = 0.06
Step-by-step explanation:
Not happen:P(Upper E prime) = 0.94
Happen: P(Upper E' prime) = ?
P(Upper E' prime) + P(Upper E' prime) = 1
Therefore
P(Upper E' prime) + 0.94= 1
P(Upper E' prime) =1- 0.94
P(Upper E' prime) = 0.06
Answer:
Kindly check explanation
Step-by-step explanation:
The possible outcome of football game is truly (Win lose or draw), hence, if the outcome only depends on just that one team, then the probability of winning is (required / total possible outcomes ; = 1/3). However, in football a game is played with an opposition team, of which there is a lot to consider in other to arrive at a winning probability, one is the relative strength of the teams, result of past meetings and so on. Hence, concluding that the probability of wining a football match is 1/3 based on the possible outcome (Win, lose or draw) is wrong.