Answer:
42 and 138
Step-by-step explanation:
Supplementary angle mean that the sum of both angle will be 180 degrees. If the angle is X and Y the equation will be:
x + y = 180
x= 180-y
If three times the measure of one angle(X) is 12 degrees less than the measure of the other(Y), the equation will be
3x= y-12
If you insert first equation to second equation, you can find out:
3x= y-12
3(180-y)= y-12
540-3y= y-12
540+12= y+3y
552= 4y
y= 138
x=180- y
x= 180-138
x= 42
Answer:
680
Step-by-step explanation:
Number of red beans = 30
Number of Blue beans = 30
Number of green beans = 30
How many color combinations of 15 beans have at least 6 green beans?
Since at least 6 of the beans must be green,
Then (15 - 6) = 9
Then, the remaining 9 could be either red, blue or green.
Therefore, C(9 + (9 - 1), 3)
C(17, 3) = 17C3
nCr = n! ÷ (n-r)! r!
17C3 = 17! ÷ (17 - 3)! 3!
17C3 = 17! ÷ 14!3!
17C3 = (17 * 16 * 15) / (3 * 2)
17C3 = 4080 / 6
17C3 = 680 ways
When multiplying fractions, you multiply the denominators together and the numerators together.
3/8 x 4/9
(4•3)/(8•9)
12/72 = 1/6
1/6 is the final answer.
Answer:
Use a graphing calc or desmos
Step-by-step explanation: