Solve the proportion
1 answer:
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Answer:
Perpendicular
Step-by-step explanation:
To tell if the lines are perpendicular/parallel, you must look at the slope, but in this case, you must first get y by itself, like so:
3x + 7y = 15
-3x - 3x
___________
7y = -3x + 15
<em><u>Divide both sides by 7:</u></em>
y =
<em><u>Now the other equation:</u></em>
7x - 3y = 6
-7x -7x
_________
-3y = -7x + 6
<em><u>Divide both sides by -3:</u></em>
y =
You can see that the lines are perpendicular because the slopes ( and
) are opposite reciprocals.
a. Does her equation make sense? If so, explain why her equation must be true. If it is not correct, determine what is incorrect and rewrite the equation.
b. If you have not already done so, solve her equation, clearly showing all your steps. What are the measures of the two angles?
c. Verify that your answer is correct.
The figure is attached below
Given : (2x+1) + (x-10) = 90
(a) Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree.
(b) solve for x, (2x+1) + (x-10) = 90
2x+1 + x-10 = 90 ( combine like terms)
3x -9 = 90 (add 9 on both sides)
3x = 99
x = 33
One angle is 2x+1 = 2(33) +1 = 67 degrees
Another angle = x-10 = 33-10 = 23 degrees
(c) one angle + another angle = 90
67 + 23 = 90
So verified
