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Elena-2011 [213]
3 years ago
7

The sum of the interior angles of Michael’s polygon equals 180°. The sum of the interior angles of Cary’s polygon equals 360°. H

ow many MORE sides does Cary’s polygon have than Michael’s polygon?
A. 1 side
B. 2 sides
C. 3 sides
D. 4 sides
Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0
Recall that for a polygon to have 180° as the sum of its interior angles, then it must have three sides and thus a triangle. And similarly, for a polygon to have a sum of 360°, it must have four sides or it is a quadrilateral.

[Note that for larger angles, we can apply the formula 180(n - 2) to find the total sum of the interior angles. n is the number of sides]

Now, since we're comparing a four-sided and three-sided polygon, this means that they only differ by 1 side. 

Answer: A. 1 side
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Evaluate the following expression <br> 20/ 2 + 8
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Answer:

18

Step-by-step explanation:

20/2 + 8

Divide the numerator and denominator by 2

20 / 2

2 / 2

Divide the numbers

10

2 / 2

=

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10 + 8 = 18

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Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r
kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours)        Dinghy Rowboat        Labor Available

Metal Work 2             3                       120

Painting         2              2                        110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = 2x+3y

So, total hours for Painting = 2x+2y

So, equation becomes:

2x+3y\leq 120

2x+2y\leq 110

x\geq 0

y\geq 0

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

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