Find the values of A B C D E F and G
The measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
The diagram shows two parallel lines cut by a transversal.
As we know from the definition of the vertically opposite angles:
b = 54 degrees
a + c = 54 + b (a = c)
2a = 54x2
a = 54 degrees
Since a and g are opposite interior angles, they are congruent, so you proceed with the process as you did for the first and check to see if the angles are acute or obtuse to ensure that the angle measurements are accurate.
Similarly:
b = 54
c = 126
d = 54
e = 126
f = 54
g = 126
Thus, the measure of the angles are a = 54, b = 54, c = 126, d = 54, e = 126, f = 54, and g = 126 degrees.
Learn more about the vertically opposite angles here:
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Answer:
a= 126
b= 54
c= 126
d= 54
e= 126
f= 54
g= 126
Step-by-step explanation:
To find a you would subtract 54 from 180 which would give you 126
Since a and b are another linear pair they would also add up to 180.
Then you move to c which is a linear pair with 54 so it is 126.
Because a and g are alternate interior angles they are congruent and they you continue with the same process for the first and check by seeing if the angles would be obtuse or acute to see if the angle measures would be correct.
B. f(x) = x2 − 16x + 60
C. f(x) = x2 + 4x + 60
D. f(x) = x2 − 4x + 60
Answer:
Option (a) is correct.
Step-by-step explanation:
Given :A function has real zeros at x = −10 and x = −6 .
We have to find the function that has real zeros at x = −10 and x = −6.
Consider real zeros at x = −10 and x = −6.
x = - 10 ⇒ x + 10 = 0
x = - 6 ⇒ x + 6 = 0
Multiply both zeroes, we have,
Apply Distributive rule,
we have,
Simplify, we have,
Thus,
Option (a) is correct.
Answer:
A. on edge.
Step-by-step explanation:
king of brainly (2020)
Answer:
The sample should be as large as 480
Step-by-step explanation:
Probability of having a flu, p = 43/334
p = 0.129
Margin Error, E = 0.03
Confidence Interval, CI= 95%
At a CI of 95%,
The sample size can be given by the relation:
To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula n = (z^2 * p * (1-p)) / (E^2), where n is the required sample size, z is the z-score corresponding to the desired level of confidence, p is the estimated proportion of the population with the characteristic, and E is the desired margin of error. Plugging in the given values, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.
To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula:
n = (z^2 * p * (1-p)) / (E^2)
Where:
Plugging in the given values:
n = (z^2 * p * (1-p)) / (E^2) = (1.96^2 * 0.129 * 0.871) / (0.03^2) ≈ 3244.42
So, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.
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Answer:
A) 15 and 16
Step-by-step explanation:
The square root of 250 is 15.8, so it falls between:
15 and 16