Step-by-step explanation:
8. ∠COB and ∠AOD are vertical angles or C
9. Vertical angles are equivalent to each other so 4x-16 = 112°
4x - 16 = 112°
4x - 16 + 16 = 112 + 16
4x = 128
4x/4 = 128/4
x= 32° or D
10. ∠AOC is vertical to ∠DOB therefore the 2 angles are congruent
You can do 360 - (112 + 112) = 2AOC
360 - 224 = 2AOC
136 = 2AOC
AOC = 68°or A
OR
You could just do 180 -112
Since ∠AOD and ∠AOC are supplementary angles, they both add up to 180°
We already know the measure of ∠AOD, it's 112°
So all you would need to do is subtract 112 from 180
And you get 68° or A
I REALLY hope this helps!!!
<em>411.84 million acres </em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>100% - 89% = 11% (not federally owned)</em>
<em />
<em>3744 m ............ 100%</em>
<em>x m........................11%</em>
<em>x = 11×3744/100</em>
<em>= 41184/100</em>
<em>= 411.84 million acres are not federally owned</em>
<em>Good luck !</em>
Answer:The first issue one most notice is the words “at least” We are trying to find the probability of at least 2 girls.
The five possible outcomes for girls are 0,1,2,3,4. The odds of 1 girl out of 4 is .25 and the odds of 1 boy out of 4 is .25 (same as the odds of 3 out of 4 girls). Therefore the odds of 1 OR 3 girls must be .5 because 1 girl and 3 girls each has a .25 probability. If the probability of (1 OR 3 girls) equals .5, then the probability of 2 girls must be a different number.
The probability of 2 or more girls, is the sum of the probability of 4 girls (.06125)(—-.5 to the 4th power—— ), plus the probability of 3 girls (.25)——(the same as the probability of 1 boy)—- plus the probability of 2 girls. Since we know the probability of zero boys is .0625 (again, .5 to the 4th power) and the probability of 1 boy is .25 (the same as the probability of 3 girls )———then the probability of 2 girls is ((1 minus (the sum of the probability of 0 OR 1 boys) plus the (sum of the probability of 3 or 4 girls)), or 1-((.0625+.25)+(.0625+.25)), or .375. We had to derive the probability of two from the other known probabilities. Therefore .375+.25+.0625=.6875 is the probability of both AT LEAST 2 girls and also NO MORE than 2 boys. Notice this adds up to 1.375 because the probability of the central number 2 (i.e., .375) appears on both sides.
Answer:
1/24
Step-by-step explanation:
8-12x = -204 + 12 +4