Given:
To find:
Whether it is possible that Line AB intersects line CD.
Solution:
We have,
The angles and are same sided interior angles.
If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.
So, the lines AB and CD are not parallel to each other.
Therefore, the intersection of lines AB and CD is possible.
Answer:
The proportion of this group that likes chocolate is 0.625.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Likes sprinkles
Event B: Likes chocolate
25% of your friends who like Chocolate (C) also like sprinkles (S).
This means that
40% of your friends like sprinkles (S) topping.
This means that
Of the friends who like sprinkles, what proportion of this group likes chocolate
The proportion of this group that likes chocolate is 0.625.
20/22
Divide both numbers by 2.
10/11.
This is the simplest form.
Complementary angles are those angles whose sum is 90
Supplementary angles are those angles whose sum is 180
<QTS= 150
<RTS=60
<VWU= 30
Hence <QTS + <VWU = 150+30= 180 are supplementary angles
and <RTS + <VWU= 60+30 = 90 are complementary angles