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Lelechka [254]
4 years ago
6

Choose the option that correctly completes the statement.

Mathematics
2 answers:
krek1111 [17]4 years ago
8 0

Answer:

D. 360 degrees.

Step-by-step explanation:

We have been given an incomplete statement. We are asked to complete the given statement using provided options.

Statement:

The sum of the measures of the interior angles of a quadrilateral is _____ degrees.

We know that a quadrilateral is a polygon with 4 vertices.

We can divide a quadrilateral into two triangles by drawing a diagonal. We know that sum of three angles of a triangle is equal to 180 degrees, so sum of angles of two triangles would be 360 degrees.

Therefore, the sum of the measures of the interior angles of a quadrilateral is <u>360</u> degrees and option D is the correct choice.

xenn [34]4 years ago
5 0
<span>The sum of the measures of the interior angles of a quadrilateral is 360 degrees.</span>
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Answer:

Theresa needs 14.3 pounds of Brand A mixed nuts and 13.2 pounds of Brand B mixed nuts.

Step-by-step explanation:

Let A represent the brand A mixed nuts and B represent Brand B mixed nuts.

We have been given that farmer Theresa's Produce Stand sells 27.5 lbs. bags. We can represent this information in an equation as:

A+B=27.5...(1)

We are also told that to make her product she combines Brand A mixed nuts which contain 20% peanuts and Brand B mixed nuts which contain 70% peanuts.

We can represent this information in an expression as:

0.20A+0.70B

Since the stand sells 27.5 lbs. bags of mixed nuts that contain 44% peanuts. We can represent this information in an equation as:

0.20A+0.70B=0.44(27.5)...(2)

Upon substituting equation (1) in equation (2), we will get:  

0.20(27.5-B)+0.70B=0.44(27.5)

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5.50+0.50B=12.10

5.50-5.50+0.50B=12.10-5.50

0.50B=6.6

\frac{0.50B}{0.50}=\frac{6.6}{0.50}

B=13.2

Therefore, Theresa needs 13.2 pounds of Brand A mixed nuts.

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A+13.2=27.5

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Therefore, Theresa needs 14.3 pounds of Brand B mixed nuts.

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