Answer:
(27/4, -1/4)
Step-by-step explanation:
The measure of angle A is 61 degrees because every triangle is equal to 180 so you would add 80+39 and get 119. Then you would subtract that from 180 and get 61 which is the measure of angle A
I believe A, C, D, E, and G. I don't know if I am right, I am just making an educated guess. Please tell me if I am right!
Answer as a fraction = 1/720
Answer in decimal form (approximate) = 0.001388
Answer in percent form (approximate) = 0.1388%
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Explanation:
Let A = 1 to indicate the number of ways to get the names to line up in alphabetical order.
There are B = 6*5*4*3*2*1 = 720 different ways to arrange the six people. Notice how I started at 6 and counted my way down to 1, multiplying all along the way. This can be shortened to factorial notation to say 6! = 720. Or you could use the nPr permutation formula to get the same result (use n = 6 and r = 6).
Once you have the values of A and B, we form the fraction A/B = 1/720 which is the probability of getting the names in alphabetical order.
If you need the answer in decimal form, then use your calculator to find
1/720 = 0.001388
which converts over to 0.1388%
Answer:
D 60
Step-by-step explanation:
Fist we can determine y
7y+5y = 180 since it is a straight line
12y = 180
Divide each side by 12
12y/12 =180/12
y = 15
We also know that 5y+3y +x = 180 since the angles of a triangle add to 180
8y +x = 180
8*15 +x = 180
120+x = 180
Subtract 120 from each side
120-120+x = 180-120
x = 60
