Notice the tickmark on the angles, those angles are equal to each other.
now, notice the angle at the very top, the large triangle is really sharing it with smaller-inscribed triangle, and therefore is equal on both triangles.
therefore, the larger triangle, is similar with smaller-inscribed triangle by AA.
what the dickens does that mean?
C is the answer to your question
Answer: pr (blue) = 1/3 or 0.33
Pr(green without replacement) = 1/2 = 0.5
Step-by-step explanation:
Probability = number of possible outcomes/ number of total outcomes
Total number of outcomes is the sum of all the marbles, given as 9
Pr ( first marble blue) = no of blue marbles/ total number of marbles
= 3/9 = 1/3 or 0.333
Second marble is chosen without replacement- this means that the total outcome has reduced by 1, total number of marbles has reduced to 8 because there was no replacement.
Pr (second marble is green) = number of green marble/ total number of marbles without replacing the first marble
= 4/8 = 1/2 = 0.5
I hope this helps.
Answer:
third choice
Step-by-step explanation:
That would be the third one. It has to be a closed circle because it includes the sign, ≤ meaning that it also has the number 5 included. The numbers that go to the left of 5 are smaller, too.
An equilateral triangle has 3 congruent sides so the 2 expressions above are equal
3x - 9= 23 - 5x
And then you solve for x
-22=-2x
X=11