Answer:
There are 14 4-point questions and 26 2-point questions.
Step-by-step explanation:
m = number of 4-point questions
n = number of 2-point questions
m+n =40
4m + 2n =108
You can solve system by elimination:
Multiply the 1st equation by -4 and keep the 2nd equation the same.
−4(m+n=40) → -4m -4n= -160
4m+2n=108 add them up
-2n = -52 divide both sides by -2
n = 26
plug it back in to solve for m
m + n = 40 →m + 26 =40 subtract 26 to both sides
m = 14
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Answers:</h3><h3>
Angle 1 = 45 degrees</h3><h3>
Angle 2 = 135 degrees</h3>
Explanations:
Angle 1 is 45 degrees because it pairs with the 45 degree angle shown. These two angles are congruent due to the alternate interior angle theorem. This only works when lines a and b are parallel.
Angle 2 is 135 degrees because it must add to angle 1 to result in 180 degrees. This is the same side interior angle theorem. Also, note that the original 45 degree angle is adjacent to angle 2, and these two angles form a straight line, so this is another way to see that 45+135 = 180.
-4.5 + 4.2 + 5.6 - 7.3= -2.000000000000001−4.5+4.2+5.6−7.3=−2.000000000000001
The answer is 9. 7 times 9 is 63 and then 63 divided by 3 is 9.
The correct answer for the question that is being presented above is this one: "Point E." The p<span>oint that represents the vertex of the marked angle is the point E.
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Here is the link of the image: http://assets.openstudy.com/updates/attachments/547f6445e4b03e22bc88fa0f-16cepps-1417634973773-math......