Answer:
72°
Step-by-step explanation:
Let the 2 equal angles be x then the third angle is x + 18
The sum of the 3 angles in a triangle = 180°, thus
x + x + x + 18 = 180, that is
3x + 18 = 180 ( subtract 18 from both sides )
3x = 162 ( divide both sides by 3 )
x = 54
Hence
the largest angle = x + 18 = 54 + 18 = 72°
Answers:
- angle1 = 156 degrees
- angle2 = 24 degrees
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Explanation:
The two angles form a straight line, which is 180 degrees
Add up the angle expressions and set the sum equal to 180.
(angle1) + (angle2) = 180
(4x) + (x-15) = 180
(4x+x)-15 = 180
5x-15 = 180
5x = 180+15
5x = 195
x = 195/5
x = 39
We use that x value to find each missing angle
- angle1 = 4x = 4*39 = 156 degrees
- angle2 = x-15 = 39-15 = 24 degrees
Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.
Side note: Angles that add to 180 are considered supplementary.
Answer:
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Determine the probability that at least one color will be missing from the 10 selected balls.
Red missing:
Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:
(0.8)^10 = 0.1074
White missing:
55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:
(0.75)^10 = 0.0563
Blue missing:
45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:
(0.45)^10 = 0.0003
Total:
0.1074 + 0.0563 + 0.0003 = 0.164
0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.
The answer is definitely most certain in the whole entire world is 5760 percent of fat calories
<span>For the answer to the question above, We have a right angled triangle with an opposite of 300.5 ft. (306 - 5.5) and an adjacent of 400 ft. Recalling SOH CAH TOA, tanθ = O/A.
tan(θ) = 300.5/400.
θ = tan^-1(300.5/400).
So the answer is
θ = 36.9°.
I hope my answer helped you.</span>
