(please open my photo for reference as you read, I am a visual learner/explainer so it will make the most sense that way)
So the first thing you want to do is look at the exterior angle 130°. A straight line is 180°, and every Triangle's angular sum is 180°. How I think of it is that every straight line has a mini protractor on either side. It makes it a bit easier to understand.
180 - 130 = 50
You now know that two of the angles are 50°.
You now have two of the measurements for the triangle farthest to the left.
75° and 50°
75 + 50 = 125
180 - 125 = 55
a = 55°
Now that you have all the measurements for the first triangle, let's move onto the next one.
With two measurements for the second triangle, all you need to do is find their sum and subtract that from 180 and you will have the third measurement!
50 + 60 = 110
180 - 110 = 70
b = 70°
Finally, for the last triangle, you already have two of the measurements 60° and 85°.
85 + 60 = 145
180 - 145 = 35
c = 35°
Sorry if this explanation is a bit messy, it's hard to describe certain things without a letter or some kind of name to differentiate between them verbally.
I hope this helps! <3
Answer:
The probability that 12 people in your sample are carrying no cash is 0.0712
Step-by-step explanation:
n = 100
p(no cash) = 0.09
x = 12
By applying binomial distribution
P(x,n) = nCx*px*(1-p)(n-x)
P(x = 12) = 0.074.
The probability that 12 people in your sample are carrying no cash is 0.074.
n = 100
p(less than 50) = 0.78
x = 75
By applying binomial distribution
P(x,n) = nCx*px*(1-p)(n-x)
P(x = 75) = 0.0712
The probability that 12 people in your sample are carrying no cash is 0.0712
Answer:
Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.
Step-by-step explanation:
The first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.
Answer:
g(x) = 2(x - 2)^2 + 2 plot (see attachment)
Step-by-step explanation:
Answer:
9.4
Step-by-step explanation:
