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anastassius [24]
3 years ago
11

The measure of an angle exceeds 3 times its supplement by 4. Find the measure of the angles.

Mathematics
1 answer:
Dafna11 [192]3 years ago
4 0
X=3y+4, y=y
x+y=180, 3y+4+y=180, 4y+4=180
4y+4=180
4y=176
y=44
x=3(44)+4, x=132+4, x=136

(I am not a very good artist in this case:)

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A board that measures 3/4 feet long is cut into 6 equal pieces. What is the length of each piece?
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Answer:

See below:

Step-by-step explanation:

So we know that there is a \frac{3}{4} feet long board and that it is split into 6 pieces.

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We can do this because we have a board that is 0.75 feet long and we multiply it by one sixth because we want to divide a fraction and to do that we have to flip the fraction.

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So I think maybe the example for the first problem created some confusion, and you may want to have your child take another look.

If we numbered the top half 1 to 9 going from left to right, numbers 1, 2, 6, 7 and 8 are right. They worked because the top number (numerator) perfectly fit into the bottom number (denominator). This is not true for the rest.

The key is to find the largest number that you can think of that will go into BOTH the top and the bottom evenly.

So for number 3: 18/24; 18 does not fit evenly into 24. The highest number that will fit into both is 6, so you divide both top and bottom by 6 and your answer is 3/4.

Number 4: 45/54; the highest number that goes into both is 9, so you divide both top and bottom by 9 and your answer is 5/6.

Number 5: 55/66; the highest number that can go into both is 11, so the answer is 5/6.

Is this making sense?

The bottom, numbering 1 to 9 from left to right. The correct ones are 1, 6 and 9.

For 2: 14/41 is about 15/40. Both can be divided by 5, so the answer is 3/8.

For 3: 20/81 is about 20/80, and 2/8 is close, but can still be divided by 2, so the answer is 1/4.

For 4: 24/49 is closer to 25/50 than 20/50. 25/50 can be divided by 25, so the answer is 1/2.

For 5: it was all correct, but the answer can be further reduced from 2/8 to 1/4.

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For 8: 13/21 is about 15/20, and 5 goes into both, so the answer is 3/4.

As your child continues to learn this, remember that if he or she gets an answer like 2/6 or 6/12, they should ask themselves if they can further reduce the fractions- 2/6 reduces to 1/3, and 6/12reduces to 1/2. I know it's confusing, but they do get the hang of it with practice
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