There are six multiple-choice questions on an exam, each with four possible answers. (a) Determine the number of possible answer
1 answer:
Answer:
Step-by-step explanation:
Given
each
Required
Determine the number of possible answers
<em>The first question has 4 possible answers</em>
<em>The second has 4 possible answers</em>
<em>The third has 4 possible answers</em>
<em>The fourth question has 4 possible answers</em>
<em>The fifth has 4 possible answers</em>
<em>The sixth question has 4 possible answers</em>
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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
