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2 years ago

The Polygon Angle-Sum Theorem states the following: The sum of the measures of the angles of an n-gon is ____.

Mathematics

1 answer:

larisa [96]2 years ago

6 0

A triangle has 3 sides and angle sum of 180 so ( 3 - 2)*180 = 180 so it seems to work.

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0. ‘ Alex is making 12 pennants for i " the school fair The pattern he is using to is make the pennants is shown in the 1 The fa

Svetradugi [14.3K]

Answer: Total cost to make 12 pennants is $52.5.

Step-by-step explanation:

Since we have given that

There is a rectangle and a triangle.

Length of rectangle = 1 ft

Width of rectangle = 3 ft

So, Area of rectangle is given by

$Area=Length\times Breadth \\\\Area=1\times 3\\\\Area=3\ ft^2$

Base of triangle = 1 ft

Height of triangle = 1 ft

So, Area of triangle is given by

$Area=\frac{1}{2}\times base\times height\\\\Area=\frac{1}{2}\times 1\times 1\\\\Area=\frac{1}{2}\ ft^2$

So, Total area of the pennants will be

$3+\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\ ft^2$

Number of pennants = 12

Cost per square foot of pennant = $1.25

So, Total cost for 12 pennants is given by

$12\times \frac{7}{2}\times 1.25\\\\=\$52.5$

Hence, Total cost to make 12 pennants is $52.5.

3 0

2 years ago

Read 2 more answers

The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third nu

12345 [234]

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12 so x must have 4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

5 0

2 years ago

The cost of 3 candles is 19.50 what is the unit price with work shown

kobusy [5.1K]

Well, since 3 candles are 19.50, simply divide. This will make a ratio so that 1 candle will equal 6.50 per candle.

19.50 / 3 candles = 6.50 per candle.

5 0

2 years ago

Select the correct answer.

malfutka [58]

Answer is the second f

5 0

3 years ago

For the expression 6 – y + 3, determine the coefficient for the variable term.

san4es73 [151]

Answer:

-1

Step-by-step explanation:

Any variable without a visible coefficient means it has a coefficient of 1. Since it's negated, the coefficient is -1.

7 0

2 years ago