The inscribed angle theorem says that
Triangle AOC is isosceles because both AO and CO are radii of the circle and have the same length. This means angles CAO and ACO have the same measure and are congruent.
Angles ACO and COD are congruent because they form an alternating interior pair between the parallel lines AC and OD.
Taking all these facts together, we have
and since angle COB is made up of angles COD and DOB, these angles must be congruent, and so the arcs they subtend (CD and DB, respectively) must also congruent.
Answer:
Stratified sampling technique(A)
Step-by-step explanation:
From the question, the population of an high school from which selection was made equals 461 sophomores, 328 juniors and 558 seniors.
35 sophomores, 69 juniors and 24 seniors are randomly selected. The technique used in selecting is Stratified sampling technique. This is because stratified sampling involves dividing the entire population into stratas and then selects a final sample randomly from the different strata. This means that a smaller part of the entire population is used as a sample in drawing conclusions for the entire population.
Answer:
a) 1/27
b) 16
c) 1/8
Step-by-step explanation:
a) 
One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:
And now, solving for x = 9 we have:
b) 
This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression
c) 
Using the same property we used in a) we have:
And now, solving for z = 16 we have:
120,000 renamed to ten thousand (10,000) is twelve ten thousand. Ten thousand in number form is 10,000. When you divide 120,000 (one hundred and twenty thousand) by 10,000 (ten thousand) you get 12. 120,000 (one hundred and twenty thousand) /10,000 (ten thousand) = 12. So there are twelve ten thousands in 120,000.
The first one is a triangle because: The two smaller sides of a triangle must add up to be larger than the longest side.
14 + 12 = 26 > 19
