Answer:
y = -2/3x - 11
Step-by-step explanation:
Steps to find the perpendicular bisector:
1) Find the midpoint of line PQ
Midpoint formula: (
, 
)
Midpoint of line PQ = (6, -2)
2) Find the slope of line PQ
Slope formula: 
Slope of line PQ = 3/2
3) Find the negative reciprocal of the slope of PQ
To find the negative reciprocal just swap the numerator and denominator and add a negative sign. If it is already negative it will become positive.
In this case it will be -2/3
4) Write the equation of line PQ in slop-intercept form.
Slope-intercept form: y = mx + b
This is what it will look like for line PQ: y = 
x + b
5) Plug the points of the midpoint into the line and solve for the intercept (b)
This is what it will look like: -2 = (6) + b
-2 = 18/2 + b
-2 = 9 + b
-11 = b
6) Write the equation of the perpendicular bisector
m = the negative reciprocal of the slope of PQ = -2/3
This is what the equation will look like: y = -2/3x - 11
Hope this helped! Please give Brainliest!
Step-by-step explanation:
ur right because y is pumpkin 3 is the slope and x is the apple
Keywords
complementary angles, right angle
we know that
If two angles are <u>complementary angles</u>, then their sum is equal to a <u>right angle</u>
In this problem
-------> by <u>complementary angles</u>
we have
Substitute and solve for Angle TSU
therefore
the answer is the option
Hello!
First you have to list the data in both classes
Class A
41, 42, 45, 46, 47, 48, 52, 53, 54, 59, 61, 61, 64, 68, 71, 82, 85, 90
Class B
41, 42, 59, 62, 64, 69, 71, 75, 77, 78, 78, 80, 83, 84, 84, 86, 86, 87, 92, 92, 95
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First we are going to find the mode and mean of class A
The mode is the number that appears the most
The number that appears the most is 61
The mode is 61
To find the mean you add all the numbers together and divide the sum by the amount of numbers added
41 + 42 + 45 + 46 + 47 + 48 + 52 + 53 + 54 + 59 + 61 + 61 + 64 + 68 + 71 + 82 + 85 + 90 = 1069
Divide this by the amount of numbers added
1069 / 18 = 59.3888...
The mean is 59.3888
The mode is 61 and the mean is 59.39 for class A
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We are going to find the range and median for class B
To find the range you subtract the smallest number from the largest on
The smallest number is 41
The largest number is 95
Subtract these
95 - 41 = 54
The range is 54
To find the median you list the numbers from least to greatest and look for the number in the middle
41, 42, 59, 62, 64, 69, 71, 75, 77, 78, 78, 80, 83, 84, 84, 86, 86, 87, 92, 92, 95
The number in the middle is 78
The range is 54 and the median is 78
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Hope this helps!
