The conversions yield 45/60 and 10/60 since the common denominator is established as 60, thus 3/4 of an hour equals 45 minutes and 1/6 of an hour translates to 10 minutes.
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Answer:∠1 = 163°
Explanation:1- finding angle 2:Given that ∠2 together with 17° creates a straight angle, their total is 180°.
Thus:
180 = 17 + ∠2
Solving for ∠2 gives us:
∠2 = 180 - 17
∠2 = 163°
2- finding angle 1:Since lines a and b are parallel, ∠1 and ∠2 are alternate angles and therefore equal.
We determined that ∠2 = 163°, leading to:
∠1 = 163°
I hope this clarifies things!:)
Step-by-step explanation:
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Answer:
a. the class with the highest number of observations.
Step-by-step explanation:
The mode refers to the value within a dataset that appears most frequently. This indicates that it occurs with greater frequency than other values.
In a histogram, the modal class denotes the category that has the most observations, demonstrating that the variables in that category have a higher occurrence than those in others. Consequently, the answer sought is option a.
Answer:
24
Step-by-step explanation:
Based on the logarithmic expressions given
, we need to identify the value of 
By substituting x = a³, y = a⁷, and z = a⁻² into the logarithmic function
, we will derive;

Therefore, the result of the logarithmic expression is 24