The answer for the following question is 12i.
Answer:
Where is the options
Step-by-step explanation:
Answer: <B is congruent to <E
Step-by-step explanation:
There is no “angle,angle,angle” theorem when proving triangles are congruent.
There are 5 however that do:
ASA (angle, included side, angle)
SSS (side, side, side)
SAS (side, included angle, side)
AAS (angle,angle, non included side)
HL (hypotenuse,leg)
Answer:
(b)
Step-by-step explanation:
When two p and q events are independent then, by definition:
P (p and q) = P (p) * P (q)
Then, if q and r are independent events then:
P(q and r) = P(q)*P(r) = 1/4*1/5
P(q and r) = 1/20
P(q and r) = 0.05
In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.
In the first ballot box there are 9 balls, 3 white and 6 yellow.
Then the probability of obtaining a white ball from the first ballot box is:
In the second ballot box there are 10 balls, 7 white and 3 yellow.
Then the probability of obtaining a white ball from the second ballot box is:
We want to know the probability of obtaining a white ball in both urns. This is: P( and )
As the events are independent:
P( and ) = P () * P ()
P( and ) =
P( and ) =
Finally the correct option is (b)
Divide by 21 to put the equation in intercept form.
x/(21/9) + y/(-21/7) = 1
x/(7/3) + y/(-3) = 1
The x-intercept is (7/3, 0)
The y-intercept is (0, -3)
The 3rd choice is appropriate.