Answer:
80°
Step-by-step explanation:
Let the angle be x then four times it's complement plus 60, that is
4(90 - x) + 60 ← is it's supplement
Supplementary angles sum to 180°
Sum the angle and it's supplement and equate to 180
x + 4(90 - x) + 60 = 180 ← distribute and simplify left side
x + 360 - 4x + 60 = 180
- 3x + 420 = 180 ( subtract 420 from both sides )
- 3x = - 240 ( divide both sides by - 3 )
x = 80
The required angle = x = 80°
supplement = 4(90 - 80) + 60 = 4 × 10 + 60 = 40 + 60 = 100°
Answer:
1/6
Step-by-step explanation:
The number of ways they can line up is 3×2×1 = 6. Only one of these is alphabetical order. The probability that they will line up randomly in alphabetical order is 1/6.
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Any of the three can line up first; either of the remaining two can line up second, and the remaining person can line up last. Thus there are 3×2×1 possible orders.
25-14=11
11+3=14
25+3=28
28 divided by 2=14
Answer:
x ≤ 19
Step-by-step explanation:
The instructions here are probably "solve for x." Please include them.
4 - x + 6^2 ≥ 21
becomes 4 - x + 36 ≥ 21
Now combine like terms. 4 and 36 combine to 40: 40 - x ≥ 21, and so:
19 - x ≥ 0
Adding x to both sies results in
x ≤ 19
Please, include the instructions when you post a question. Thanks.
Answer:
Step-by-step explanation:
perimeter = sum of the sides = (3y+5) + (y-4) + (6y) = 10y + 1
