PLEASE READ THE QUESTIONS AND ANSWER IT CORRECTLY
1 answer:
Answer:
(A) 70°
(B) 67°, because they are alternate interior angles
Step-by-step explanation:
<em>For a:</em>
The angles of a triangle will all add up to 180°. Using the "feathers" (lines that signify congruence), we can tell that the angle connecting the two congruent lines will be different than the other two, which will be equivalent to each other.
This means that the angle measure of x will be , or just
.
This is equal to 70°.
<em>For b:</em>
We know that the 67° angle and y are formed by the same line intersecting two parallel lines. This means that the angle measures of each intersection point will be the same as the other intersection point, however they will be flipped. This makes the concept of alternate interior angles. We know that the 67° angle and y are formed by the same line, this means that their angle lengths are the same - therefore y is 67°.
Hope this helped!
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Answer:
The change to the face 3 affects the value of P(Odd Number)
Step-by-step explanation:
Analysing the question one statement at a time.
Before the face with 3 is loaded to be twice likely to come up.
The sample space is:
And the probability of each is:
P(Odd Number) is then calculated as:
Take LCM
After the face with 3 is loaded to be twice likely to come up.
The sample space becomes:
The probability of each is:
Take LCM
Comparing P(Odd Number) before and after
--- Before
--- After
<em>We can conclude that the change to the face 3 affects the value of P(Odd Number)</em>