Solve each system by graphing. y=x2−5x−4 y=−2x
1 answer:
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Answers:
x = 100
y = 25
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Explanation:
Angle y and the 25 degree angle are corresponding angle. Because the lines are parallel, this means that y = 25
Check out the attached image. Using a red pen, I extended one of the lines to form a triangle. From the alternate interior angle theorem, we know that one of the angles of the triangle is 75 degrees (alternate interior angles are congruent). Again this stems from the fact that the lines are parallel.
I've also introduced the variable z to help find x. The angles x and z add up to 180 degrees since they form a straight line. So we need to find z before we can find x.
The triangle's angles 25, 75, z add up to 180. Let's solve for z
25+75+z = 180
100+z = 180
z = 180-100
z = 80
Use this to find x
x+z = 180
x+80 = 180
x = 180-80
x = 100
So,
Matt answered 20 out of 25 questions.
We need to get the denominator to be 100. We can do that by multiplying the fraction by a form of 1.
From here, it should be easy to see that Matt has answered 80% of his test.
Matt answered 20 out of 25 questions.
We need to get the denominator to be 100. We can do that by multiplying the fraction by a form of 1.
From here, it should be easy to see that Matt has answered 80% of his test.