Answer:
The standard deviation is 10.38
Step-by-step explanation:
Given;
Variance, v = 107.76
mean, x = 34.2
The standard deviation is given by;
standard deviation = √variance
standard deviation = √107.76
standard deviation = 10.381
standard deviation = 10.38 (two decimal places)
Therefore, the standard deviation is 10.38
Lines equal 180°. The line with angles 5 and 7 equals 180°. If angle 7 equals 61°, then angle 5 equals 119° (180° - 61°= 119°).
Angles 5 and 8 are opposite vertical angles, which are always congruent (equal), so angles 5 and 8 both equal 119°.
119° (angle 5) + 119° (angle 8)= 238°
ANSWER: The two angles total 238° (bottom choice).
Hope this helps! :)
40 + 10x = 5x - 30
To begin isolating x, subtract 40 from both sides.
40 + 10x - 40 = 5x - 30 - 40
10x = 5x - 70
Subtract 5x from both sides.
10x - 5x= 5x - 70 - 5x
5x = -70
Finally, divide both sides by 5.
5x/5 = -70/5
x = -14
Answer:
x = -14
Answer:

Step-by-step explanation:
We know that tan(x) is defined as sin(x)/cos(x):


1/0 is undefined as 0 is in the denominator
Look at the picture below!!
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