Answer:
angles of the triangle are equal 180
so 42+82=124
180-124=56
so the answer is 56
Step-by-step explanation:
<h3>
Answer: perpendicular slope is -2/3</h3>
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Work Shown:
Solve the given equation for y
2y = 3x - 10
y = (3x-10)/2 ..... divide both sides by 2
y = (3x)/2 - 10/2
y = (3/2)x - 5
The equation is in y = mx+b form with m = 3/2 as the slope.
The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.
Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1
(3/2)*(-2/3) = -1
This is true for any pair of perpendicular lines, assuming neither line is vertical.
Step-by-step explanation:
9/2 ÷ 8/3
= 9/2 × 3/8
= 27/16
= 1 11/16
Answer:
Part 1) The unit rate is 
Part 2) The unit rate is 
Part 3) The unit rate is 
Part 4) The unit rate is 
see the attached figure
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to

where
d ----> number of dollars (dependent variable or output value)
n ---> number of ounces (independent variable or input value)
Remember that the slope of the linear equation is the same that the unit rate
<u><em>Verify each case</em></u>
1) we have

This is a proportional relationship between the variables d and n
The slope is

therefore
The unit rate is 
2) we have
<em>First table</em>
take two points from the table
(4,1) and (16,4)
substitute in the formula of slope



simplify

therefore
The unit rate is 
3) we have

This is a proportional relationship between the variables d and n
isolate the variable d

The slope is

therefore
The unit rate is 
4) we have
<em>Second table</em>
take two points from the table
(1,4) and (2,8)
substitute in the formula of slope



therefore
The unit rate is 
Answer:
she took 13 classes that were worth 3 credits
Step-by-step explanation:
well we know that some of the classes are worth 3 and some are worth 4 and that all of these together = 59 so your first equation would be
3x+4y=59
x would be the number of classes worth 3 credits and y would be the number of classes worth 4 credits.
then it says the total number of classes that they took was 18 so we know that
x + y =18.
you want to solve for the number of 3 credit classes so lets go ahead and get rid of the y values. SO you need you multiply the x+y equation by 4
4x+4y=72
then subtract 4x+4y=72 from 3x+4y=59 to get
-x = -13
and then x is a negative so you need to divide -1 from both sides and you get that she took 13 classes that were worth 3 credits.