By the concepts of transversal, vertically opposite angles, and pair of interior alternate angles measure of angle z is A. 125°.
We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
Given, m∠o is 125°.
We know vertically opposite angles are equal hence m∠q is also 125°.
We also know that the pair of interior angles are equal therefore m∠x is also 125° and again vertically opposite angle z is 125°.
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Answer:
125
Step-by-step explanation:
o=q
q=x
then x=z =125
Answer:
The zeros are x=4, 8
Step-by-step explanation:
We have been given the function y=x^2-12x+32.
Let us write this in intercept form by factoring the given function.
We can factor it by AC method.
We can write the middle term -12x = -8x-4x
Now, in order to find the zeros, we have
Therefore, the zeros are x=4, 8
Answer:
$5 an hour
Step-by-step explanation:
refer to image
To solve the problem, the concept of replacement must be considered.
A letter is randomly chosen from the bag and then replaced. Then, a second letter is randomly chosen from the bag.
The probability of the two vowels chosen is 25/144.
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Given
The Hawaiian language has 12 letters.
Five vowels and seven consonants.
To find
The probability of two vowels is chosen.
1. Probability of first letter being vowel.
Total event = 12
Favorable event = 5
Then
2. Probability of second letter being vowel.
Total event = 12
Favorable event = 5
Then
The probability of both occurring will be
Thus, The probability of the two vowels chosen is 25/144.
More about the probability link is given below.