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kati45 [8]
3 years ago
12

Which of the following statements is the converse of the statement, "If each of two angles has a measure of 28 degrees, then the

two angles are equal in measure"? 1.) If two angles have equal measures, then the measure of each is 28 degrees. 2.) If two angles do not have equal measures, then each of the two angles does not have a measure of 28 degrees. 3.) If each of two angles does not have a measure of 28 degrees, then the two angles do not have equal measures. 4.) If each of two angles does not have a measure of 28 degrees, then the two angles have equal measures.
Mathematics
1 answer:
kogti [31]3 years ago
3 0

Answer:

  1.) If two angles have equal measures, then the measure of each is 28 degrees.

Step-by-step explanation:

The converse of a statement simply swaps the positions of the "if" and "then" clauses. Without any modification for clarity or readability, the converse would be ...

  if <em>two angles are equal in measure</em>, then <em>each of the two angles has a measure of 28 degrees</em>.

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Marta_Voda [28]

Answer:

Carmen can make 10\frac{5}{16} full servings.

Step-by-step explanation:

Given : Carmen mixes 3\frac{1}{2} cups of water with 3\frac{3}{8}  cups of juice to make punch.

Total quantity of punch Carmen made = total cup of water + cup of juice she mixes

Total quantity of punch Carmen made = 3\frac{1}{2}+3\frac{3}{8}

Solving , we get,

Total quantity of punch Carmen made = \frac{7}{2}+\frac{27}{8}

taking LCM(2,8) = 8 , we get,

Total quantity of punch Carmen made = \frac{28+27}{8}=\frac{55}{8}

Also, given She pours \frac{2}{3} cup servings of punch.

Thus, \frac{2}{3} cup of mixture makes 1 serving cup.

Using unitary method,

In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.

1 cup of mixture makes \frac{3}{2} serving cup.

\frac{55}{8} cup makes = \frac{3}{2}\times\frac{55}{8}

\frac{55}{8} cup makes = \frac{165}{16}=10\frac{5}{16}

Thus, She can make 10\frac{5}{16} full servings.


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