What are complementary angles?
Complementary angles are a pair of angles that equal 90°, or make up a right triangle.
Examples
- Two angles that are 45° make a complement because 45 + 45 is equal to 90.
- A 10° angle and an 80° angle make a complement because 80 + 10 is equal to 90.
- A 35° angle and a 55° angle make up a complement because 35 + 55 is equal to 90.
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In this question, one of the angles measure 36°. To find the measure of the other angle, you have to subtract 36 from 90 since complements add up to 90°.
The measure of the other angle is equal to 54°
Answer:
Lower limit: 117.3
Upper limit: 122.7
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Middle 50%
So it goes from X when Z has a pvalue of 0.5 - 0.5/2 = 0.25 to X when Z has a pvalue of 0.5 + 0.5/2 = 0.75
Lower limit
X when Z has a pvalue of 0.25. So X when
Upper limit
X when Z has a pvalue of 0.75. So X when
6y=24-3x <=> 3x=24-6y <=> x=(24-6y)/3
Step-by-step explanation:
3x + 6y - 5z
=3×3+-5×6-2×5
=9+-30-10
=9-40
=-31
Answer:
first from the top
Step-by-step explanation: