Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre
ated by the intersecting lines? Explain. (PLEASE HURRY ITS TIMED!)
1 answer:
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees. Vertical angles are two angles opposite from each other and those two angles are then equal.
Step-by-step explanation:
For example, if you took your typical graph with four quadrants your lines would intersect. The linear pairs are equal to 180 and the vertical angles are equal.
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Answer:
c) 62.
Step-by-step explanation:
Let x represent number of customers came in on the fifth day.
We have been given that the mean number of customers for those four days is 52. So total number of customers on 4 days would be 4 times 52 that is 208 customers.
We know that mean of a data set is equal to sum of all data points divided by number of data points.
Total number of customers on 5 days would be and total number of days is 5.
Since we need a mean of 54, so we can set mean of 5 days equal to 54 as:
Multiply both sides by 5:
Therefore, 62 customers must come in on the fifth day to make the five-day mean 54 and option 'c' is the correct choice.
Answer:
The correct option is c.
Step-by-step explanation:
Linear function: The rate of change of a linear function is always constant.
Non-Linear function: The rate of change of a non-linear function is not constant.
From the given coordinate pairs it is noticed that the function is passing through the points (0,-100), (1,-50), (2,0), (3,100) and (4,150).
The slope of function for points (0,-100) and (1,-50) is
The slope of function for points (2,0) and (3,100) is
Since the slopes of function are different, therefore the given function is non-linear.
The function is not linear because the rate of change is not constant and option c is correct.