Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
Answer:
C: y - 1 = -2/3(x - 3)
Step-by-step explanation:
The given answer is the point-slope form of the linear equation, y = -2/3x + 3.
The point-slope form is:
y - y1 = m(x - x1)
where m = slope.
Given the two points on the graph, (0 , 3) and (3, 1), we can solve for the slope of the line by using the following formula:
Let x1 = 0, x2 = 3,
y1 = 3, y2 = 1
Plug in these values into the slope formula:
Therefore, the slope of the line is -2/3.
Next, we must identify the y-intercept (which is the y-coordinate of the point where the graph of the linear equation crosses the y-axis). This is given by point, (0, 3). Therefore, the y-intercept is 3.
Using one of the points on the graph, (3, 1), we can plug in these values into our point-slope formula:
y - y1 = m(x - x1)
y - 1 = -2/3(x - 3)
Answer:
We have a right tailed test then the p value would be:
Step-by-step explanation:
Information provided
n=497 represent the random sample of homes selected
X=340 represent the number of homes with one or more lawn
estimated proportion of homes with one or more lawn
is the value that we want to test
z would represent the statistic
represent the p value (variable of interest)
System of hypothesis
We want to check if proportion of homeowners owning lawn mowers in charlotte is higher than 65%m so then the correct hypothesis are .:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
We have a right tailed test then the p value would be:
Answer:
339 miles.
Step-by-step explanation:
Given:
A car rental agency advertised renting a car for $27.95 per day and 0.26$ per mile.
If Trevor rents this car for 4 days.
Question asked:
How many whole miles can he drive on a $200 budget?
Solution:
Total budget = $200
Trevor rents car for number of days = 4
As a car rental agency renting a car for $27.95 per day fixed charge, so Trevor must pay = Fixed charge per day number of days rented for
= $27.95 4
= $111.8
Remaining amount = $200 - $111.8 = $88.2
Now, to find number of miles he can travel, we will divide remaining amount by amount charged per mile
$88.2 $0.26 = 339.23 miles
Therefore, he can drive 339 miles on a $200 budget
C because PEMDAS
(Please excuse my dear aunt sally)