Answer: The correct option is (A). angle 1.
Step-by-step explanation: In the given diagram, the measure of ∠3 is 105°.
We are to find the angle that must also measure 120°.
We know that the measures of two vertically opposite angles are equal.
In the given diagram, since ∠1 and ∠3 are vertically opposite angles.
So, the measures of ∠1 and ∠3 are equal.
That is,
m∠1 = m∠3.
Also, m∠3 = 105°.
Therefore, m∠1 = 105°.
Thus, the measure of angle 1 must be 105°.
Option (A) is correct.
Answer:
a2b
Step-by-step explanation:
a6b3 / a4b2
When dividing exponents, you subtract them.
a6-4
b3-2
Leaving you with a2b
The sample standard deviation is (B) $3.16.
<h3>
What is the sample standard deviation?</h3>
- The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean.
- The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation.
- For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.
Therefore, the sample standard deviation is (B) $3.16.
Know more about sample standard deviation here:
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The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?
A. $4.67
B. $3.16
C. $1.96
D. $10.00
First find the length of the diagonal of a square of side 4 inches:
d^2 = 4^2 + 4^2 = 2*4^2 = 32. Then the diagonal of the cube has length
sqrt( 32 + 4^2) = sqrt(32+16) = sqrt(48) = 4sqrt(3).
The answer is x=27. your welcome. :)