Practice Finding the Area of a Polygon
> Stacy example showing how to find the area of a polygon
Then solve problems 1-5.
151
Example
The polygon represents the floor space of a
ciaching store inamall. How many square feet
of foor space does the store have?
Decompose the polygon into tovo rectangles
andatangle
Area of top rectangle
bh= 25720 = 500
Are of bottom rectangle
bih=50/15 = 750
Are of triangle
= 250
*
20
1
150
=
Total area: 500 - 750 - 250 = 1.500
The store has 1.500 ft- of floor space.
Show another way to find the number of square feet of floor space for the store in
the Example

Answer:

correct

Step-by-step explanation:

he is correct because the transformation is a translation and under the translation the image and preimage are congruent.

the measure of the sides are preserved, and the peasure of the angles are preserved so if all the corsponding sides and angles are congruent the hexagons are congruent too

Answer:

(x, y) -----> ( - x , y - 10 )

Step-by-step explanation:

Titus is not correct.

There are two transformations will correctly prove FEDCBA ≅ F'E'D'C'B'A'

First transformation is Reflection over y-axis , then translation 10 units down.

The final formula is ( - x , y - 10 )

Answer:

A

Step-by-step explanation:

A is n= n2 -1 so thats the answer

Answer:

-38

Step-by-step explanation:

-25 + 13 = -38

-38  - 13 = -25

-25 x 4 = -100

formula: x - 13 = -25

Answer:

X = 57*

Step-by-step explanation:

Answer:57 degrees

Step-by-step explanation:

x is congruent to the given angle 57 degrees because of its opposite side positioning on the parallel angles

Answer:

y = 50x+25

f(x) = 50x+25

Step-by-step explanation:

Using the slope intercept form of the equation, y = mx+b

where x is the amount per day and b is the flat fee

2 days

125 = 2x+b

5 days

275 = 5x+b  

Subtract

275 = 4x+b  

125 = 2x+b

---------------------

150 = 3x

Divide by 3

150/3 = 3x/3

50 =x

The cost per day is 50 dollars

y = 50x +b

Using the data for 2 days

125 = 50*2 +b

125 = 100 +b

125-100 = b

b = 25

The equation is y = 50x+25

f(x) = 50x+25

To graph, The x axis is number of days and the y axis is total cost

The number of days starts with 0, which is the y intercept

Let x = 0, y =25

Using the slope, we go 50 up and 1 to the right ( 50 dollars per day)

The next point plotted ins ( 1,50)

Draw a straight line

Answer:

y = 50x+25

f(x) = 50x+25

Answer:

$2.50

Step-by-step explanation:

Answer:

$2.5

Step-by-step explanation:

Answer:

15/8 or 1.875

Step-by-step explanation:

Let x represent a whole batch of bannock. Taira used 3/4 of her flour to make 2/5 of a whole batch so we can write the equation like this.

3/4=2/5x

Isolate x by multiplying the left side by the reciprocal of 2/5.

15/8=x

Answer:

the answer is -7.7  

Step-by-step explanation:

−2.2−5.5

−2.2+ −5.5

= --7.7

hope it helps :)

Answer:

The answer is -8

Step-by-step explanation:

-(2.5+5.5)

-8

Answer:

2.15 km

Step-by-step explanation:

Answer:

$77,520

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

y²-y¹/x²-x¹

16-(-5)/(-40)-16

21/-56

= -3/8

Answer:

y = 2x + 21

Explanation:

The slope is 2 so it would go for mx

The y-inter. for the graph is 21

your equation is y = 2x + 21

Answer:

Step-by-step explanation:

Given the expression 11 + t/2 - 6, we are the find the output value when t = 5. To do that, we will simply substitute t = 5 into the given expression as shown;

f(t) = 11 + t/2 - 6

f(5) = 11 + 5/2 - 6

f(5) = 11 + 2.5 - 6

f(5) = 13.5 - 6

f(5) = 7.5

Hence the value of the function when t = 5 is 7.5

Answer:

A,E

Step-by-step explanation:

thx person in the comments  

got it right btw to

Answer: 3060x17

Step-by-step explanation: because you have to multiply the numbers all of them

Answer:

x - 1 < n < 3x + 5

Step-by-step explanation:

If you have two sides of a triangle, the length of the third side is at least the difference between the other two sides, and at most the sum of the other two sides.

Answer:

750 total people

Step-by-step explanation:

25 to 50 = 1/2

So: 250 x 2 = 500 men

500 + 250 = 750 total

Answer: 17.25

Step-by-step explanation:

17 x 25= 425. Obviously we can’t leave it like that. So 100 cents is one dollor right?

That means there are four dollars. Made up just by the quarters alone. Now we have to add the 13 dollars 13+4 =17.Now add back the 25 cents to make $17.25

Janet has $17.25

=)

Answer:  16.205 cm²

It takes some time, but it's not impossible!

Step-by-step explanation:

Find the area of the triangle, then subtract the area of the three sectors.

 The three sectors are each 60° so they add to 180° which is equivalent to half the area of one circle.  

The area of the triangle is one half base times height. To find the height of the triangle, use the Pythagorean Theorem to get the length of the perpendicular bisector.

a² + b² = c² .  

C is the side length, 20cm. (the length of two radii) B is half the side length 10cm. A is the "altitude" or height we need to find.  

a² + 10² = 20²

a² + 100 = 400 .  a² = 400-100

a² = 300

a = √300   a ≈ 17.3205

Area of triangle: A= bh/2

A = (20 × 173.205)/2

Triangle Total Area ≈ 173.205

To the area of the circle, use the equation A = πr²  

A = 3.14 × 10²

A = 3.14 × 100  

Circle Total Area =  314 cm².  

You could take 1/6 of that, and then multiply by 3,  or just take half

Area of sectors=  157 cm²

Triangle Area - Sectors Area = Blue shape Area

173.205 - 157 ≈ 16.205 cm²

Hi, are you still active?

Answer:

B. All rational numbers

Answer:4

Step-by-step explanation:

Answer:

-5 x 8 = -40

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

-5x8 = 14

Answer:

-27

Step-by-step explanation:

Answer:

right angle

Step-by-step explanation:

Answer:

(n - 2)(5n + 6)

Step-by-step explanation:

Given

5n² - 4n - 12

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 5 × - 12 = - 60 and sum = - 4

The factors are - 10 and + 6

Use these factors to split the n- term

5n² - 10n + 6n - 12 ( factor the first/second and third/fourth terms )

= 5n(n - 2) + 6(n - 2) ← factor out (n - 2) from each term

= (n - 2)(5n + 6) ← in factored form

Answer:

1. In first question I guess the answer will be: last point

There are no mistakes. Answer is correct.

Answer:

The answer is B.

Step-by-step explanation:

First, you have to convert division into multiplication and cross out the common term :

[tex] \frac{3x - 6}{ {x}^{3} } \div \frac{x - 2}{2x - 1} [/tex]

[tex] \frac{3(x - 2)}{ {x}^{3} } \times \frac{2x - 1}{x - 2} [/tex]

[tex] \frac{3}{ {x}^{3} } \times (2x - 1)[/tex]

[tex] \frac{3(2x - 1)}{ {x}^{3} } [/tex]

[tex] \frac{6x - 3}{ {x}^{3} } [/tex]

The quotient of the rational expressions is [tex]\frac{6x - 3}{x^2}[/tex]

[tex]= \frac{3x - 6}{x^3}\div \frac{x-2}{2x - 1} \\\\= \frac{3(x - 2)}{x^3} \times \frac{2x-1}{x-2}\\\\ = \frac{3}{x^3} \times (2x - 1)\\\\= \frac{3(2x - 1)}{x^2}\\\\ = \frac{6x - 3}{x^2}[/tex]

Find out more information about the  equation here:

https://brainly.com/question/2263981?referrer=searchResults

Step-by-step explanation:

The question is incomplete, here is the complete one

A jacket was on sale for 20% off its original price of $60. Now, it is on sale for an additional 10% off its previous sale price. Determine whether each statement is true or false. The jacket is now 40% off its original price. True or false The jacket now costs $48.00. True or false The jacket is now 72% of its original price. True or false The jacket now costs $43.20. True or false

Step one:

given

original price= $60

discount =20% of 60

discount = 20/100*60

discount = 0.2*60

discount = $12

selling price= 60-12= $48

Added price= 10% off $48

Added price= 10/100 *48  

Added price= 0.1 *48

Added price= $4.8

new price= 4.8-48=$43.2

the new price of the jacket is $43.2

1. The jacket is now 40% off its original price

40/100*60=$24-----False

2. The jacket now costs $48.00-----False

3.  The jacket is now 72% of its original price= 72/100*60=$43.2----True

4. The jacket now costs $43.20------True