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Minchanka [31]
2 years ago
8

Connor gathered dry ingredients to make a large pan of brownies. He mixed1 1/4 cups of sugar, 2 2/3 cups of flour and 1 1/6 cups

of nuts together before adding the other ingredients how many cups of dry ingredients did he mix?
Mathematics
1 answer:
sveta [45]2 years ago
3 0

Answer:

5\frac{1}{2}

Explanation:

1. Find a common denominator for the three fractions. A common denominator is a number all three numbers divide into evenly. The lowest common denominator for 4, 3, and 6 is 12.

2. Find the numerators. This can be done by multiplying the current numerators by however many times the old denominator goes into the new denominator.

4 goes into 12 3 times

3 goes into 12 4 times

6 goes into 12 2 times

1 x 3 = 3

2 x 4 = 8

1 x 6 = 6

So, the fractions become:

1\frac{3}{12} + 2\frac{8}{12} + 1\frac{2}{12}

3. Add the numerators of the new fractions and keep the denominator the same.

4 \frac{13}{12}

4. Convert the improper fraction to a mixed number.

1 \frac{1}{12}

5. Finally, add the whole numbers.

1 + 4 = 5

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What additional information will allow you to prove the triangles congruent by the HL Theorem?
marissa [1.9K]

Answer:

The correct option is 3.

Step-by-step explanation:

The HL theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'

From the given figure it is noticed that triangle ABC and triangle EDC. In triangle  ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.

To use HL hypotenuse and one leg of triangles must be equal.

AB=DE                             (hypotenuse)

AC=DC                             (leg)

BC=EC                              (leg)

Therefore the additional information  AC=DC  will allow you to prove the triangles congruent by the HL Theorem. Option 3 is correct.

8 0
3 years ago
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Slav-nsk [51]

Answer:

41 students

Step-by-step explanation:

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Answer:

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