Geometry Basics Test
A polygon is said to be regular if all of its sides are the same length. Find the perimeter of the regular octagon
whose vertices are as follows.
(-2,-4), (1,0), (1,5), (-2,9), (-7,9), (-10,5), (-10,0), (-7,-4)
(1 point)
| units
Basic
7
8
9

Answers

Answer 1

Answer:

P=40

Step-by-step explanation:

find the distance between each vertices:

between the following points to find the length of each sides, octagon has 8 sides , since it is regular pentagon the distance between each vertices =5

the length of each side of octagon=5

to check :d=√(x2-x1)²+(y2-y1)²

(-2,-4) and (1,0) , d=√[(1-(-2)]²+(0+4)² =√3²+4², d=5

(1,0) and (1,5)  , d= 5

(1,5) and (-2,9) ,  d=5

(-2,9) and (-7,9) , d=5

(-7,9) and (-10,5) , d=5

(-10,5) and(-10,0) , d=5

(-10,0) and(-7,-4), d= 5

(-7,-4) and (-2,-4), d=5

perimeter of octagon = 8a ( a is the length of the side)

p=8(5)

P=40


Related Questions

Which Expression is Equivalent to the given expression? (4m^2n)^2/2m^5n

Answers

Answer:

D. [tex] 8 {m}^{ - 1} n[/tex]

Step-by-step explanation:

[tex] \huge \frac{(4 {m}^{2} n)^{2} }{2 {m}^{5}n } \\ \\ \huge= \frac{16 {m}^{4} {n}^{2} }{2 {m}^{5}n } \\ \\ \huge = 8 {m}^{4 - 5} {n}^{2 - 1} \\ \\ \huge \purple{ \boxed{= 8 {m}^{ - 1} n}}[/tex]

Answer:

8m^-1n

Step-by-step explanation:

There are 15 more pens in Nina's container than the number m of
markers. There are 40 pens. Write and solve an equation to find the
number of markers in Nina's container.

Answers

Answer:

Step-by-step explanation:

Let pens be=m+15

Total=40

m+15=40

m=40-15

m=25

Markers=25

Hope this helps!

7t-8t+4=5t-2
Solve for t

Answers

Answer:

t=1

Step-by-step explanation:

7t-8t+4=5t-2

-1t+4=5t-2

-1t+6=5t

6=6t

1=t

Check

7t-8t+4=5t-2

7(1)-8(1)+4=5(1)-2

-1+4=5-2

3=3

please give brainlist

t=1/3

hope this helped

what is (9/8)^3x+12=1

Answers

The solution for the expression is x = -4.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To solve for x in the equation

(9/8)^(3x+12) = 1

we can take the natural logarithm of both sides and use the properties of logarithms to simplify.

ln[(9/8)^(3x+12)] = ln(1)

(3x+12) ln(9/8) = 0 (since ln(1) = 0)

3x + 12 = 0 (since ln(9/8) ≠ 0)

3x = -12

x = -4

Therefore,

The solution is x = -4.

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Charlotte drove 304 miles in 8 hours. If she continued at the same rate, how long would it take to travel 190 miles?

Answers

first, see how many miles she rode per hour.
304 miles/8 hours = 38 miles per hour
second, divide how many miles she needs to travel by how much she rides mph.
190 miles/38 mph = 5 hours.
it would take her five hours.

The time to travel 190 miles will be 5 hour.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Charlotte drove 304 miles in 8 hours.

And, She continued at the same rate.

Now,

Since, Charlotte drove 304 miles in 8 hours.

Hence, The speed is,

Speed = Distance / time

          = 304 / 8

          = 38 miles / h

So, For travel 190 miles at same rate;

Time = Distance / Speed

       = 190 / 38

       = 5 hour

Thus, The time to travel 190 miles will be 5 hour.

Learn more about the mathematical expression visit:

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2. The ticket for an NBA playoff game is $13,000. Suppose
you have $5,000 saved and every week you save another
$800. You use the following equation to calculate how
much money you have after a certain amount of weeks:
f(w) = 5000 + 800w

What does w represent in this equation?

Answers

Answer:

18,500 because youvadd 500

What is the solution of this equation?
-7 + 1/3b = -6

Answers

Answer:

b=3

Step-by-step explanation:

-7+1/3b=-6

+7         +7

1/3b=1

*3    *3

b=3

Find MN

LM = 3y + 4
MN = 7y + 9
LN = 143

Answers

Answer:

B. 100

Step-by-step explanation:

[tex]3y+4+7y+9=143[/tex]

[tex]10x+13=143[/tex]  143-13=130

10x=130 divide both sides by 10 130/10= 13 x=13

MN=7(13)=91+9=100

LN=3(13)=39+4=43

100+43

Lcm of 7 , 8 and 9 ??

Answers

LCM of 7,8 and 9 is 504

7=1,7

8=2x2x2

9=3×3

LCM =2x2x2x3x3x7 =504

How many days are in a school year? (HINT there are 8 hours in a school day and one school year has 180 days) A 4320 B 8760 C 2920 D 1440

Answers

d. 1440

I'm guessing you mean hours in a school yr

8 hrs in a day x 180 days = 1440 hrs in 1 school yr

how many 'hours' are there in a school year?

answer: D

8 hours a day x 180 days ( one school year)

8 x 180

= 1440 hours

suppose you pick a card at random from the 13 clubs of a standard deck. What is the probability:

Answers

Answer:

1/13

Step-by-step explanation:

this is because you have an equal probability of choosing any of the 13 different cards

Pamela's Purse Palace received a shipment of new purses. The total cost of the shipment was $287.20. If each purse cost $35.90, how many purses were in the shipment?

Answers

The answer is 8. The work is shown here: 287.20/35.90=8

The box plot represents the number on minutes it takes for the student in a class to run a mile. WHAT IS THE MINIMUM OF THE DATA A(0). B(5). C(7). D(13)​

Answers

B. 5

the minimum is where the end of the left tail is. the first quartile is where the beginning of the box is, the mid is in the middle of the box, the 3rd quartile is at the end of the box and the maximum is the end of the right tail.

What is m∠RSU?
PLEASE HELP

Answers

Answer:

∠RSU is equal to 39

Step-by-step explanation:

∠RST = 90.

So, 90 - 51 = 39

So ∠RSU = 39

Hope this helps!!

Answer:

39°

Step-by-step explanation:

This is a 90° angel and we already have 51°s, so we do 90 - 51:              90 - 51 = 39

I hope this helps!

how many tens and ones are in the number 15

Answers

1 ten and 5 ones :D right?

what is 9 1/3cm + 21cm + 7cm

Answers

37.3333333 centimeters

Answer:

37 1/3 cm

Step-by-step explanation:

21 + 7 = 28

28 + 9 = 37

37 + 1/3 = 37 1/3

how to do this question plz ​

Answers

Answer:

I think 3 is the median.....


Which is the equation of the horizontal asymptote of the graph of the following equation?
f(x) = 6 (X - 5) – 4

y = 0
y = -5
y = -4
y = 6

Answers

Answer:

Step-by-step explanation:

y=-4

solve for x 3x - 2 = 4x + 1

Answers

Answer:

[tex]x = -3[/tex]

Step-by-step explanation:

[tex]3x - 2 = 4x + 1[/tex]

Now taking 3x to right hand side of the eqn . & +1 to the left side eqn. , sign of 3x changes to -3x & +1 changes to -1 .

[tex]-2-1 = 4x - 3x[/tex]

Now solving this , we get the value of x.

[tex]4x - 3x = -2 -1\\=> x = -3[/tex]

Answer:

The answer for x is x = -3

Step-by-step explanation:

hope this helps

Certain cooking oil has a density of 0.91 grams per milliliter. Which of the following series of calculations correctly determines the mass, in kilograms, of 15 liters of this oil?

Answers

Answer:

Step-by-step explanation:

Here is a picture of the answer, since I couldn't put into words!

The mass of 15 liters of oil is 13.65 kg.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

What is the density?

Density is the ratio of the mass of the body to the volume of the body.

Density = Mass / Volume

Given that oil has a density of 0.91 grams per milliliter

To determines the mass, in kilograms, of 15 liters of this oil

Rearranging the equation,

Mass = Density × Volume

∵ 15 liters = 15000 milliliters (ml)

So, 0.91g/ml x 15000ml = 13650g

∵ 1 kilogram = 1000grams

⇒ 13650g / 1000g/kg

⇒ 13.65kg

Thus, the mass of 15 liters of oil is 13.65kg.

Learn more about Arithmetic operations here:

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2 expressions equivalent to (x-6) • (x-3)

Answers

Answer:

x^2 + -9 x + 18 = (x - 9) x + 18 = (x - 6) (x - 3) all three are alternanate forms.

Step-by-step explanation:

Expand the following:

(x - 6) (x - 3)

Hint: | Multiply x - 6 and x - 3 together using FOIL.

(x - 6) (x - 3) = (x) (x) + (x) (-3) + (-6) (x) + (-6) (-3):

x x - 3 x - 6 x - 6 (-3)

Hint: | Combine products of like terms.

x x = x^2:

x^2 - 3 x - 6 x - 6 (-3)

Hint: | Multiply -6 and -3 together.

-6 (-3) = 18:

x^2 - 3 x - 6 x + 18

Hint: | Group like terms in x^2 - 3 x - 6 x + 18.

Grouping like terms, x^2 - 3 x - 6 x + 18 = x^2 + (-3 x - 6 x) + 18:

x^2 + (-3 x - 6 x) + 18

Hint: | Combine like terms in -3 x - 6 x.

-3 x - 6 x = -9 x:

Answer:  x^2 + -9 x + 18 = (x - 9) x + 18 =(x - 6) (x - 3)

what is the perimeter of a rectangle with a length of (x^2+x) and a width of (2x^2+3x)

Answers

Answer:

Perimeter = 6x² + 8x

Step-by-step explanation:

Perimeter = 2(length + width)

perimeter = 2((x²+x)+(2x²+3x))

perimeter = 2(x²+2x² + x+3x)

perimeter = 2(3x² + 4x)

perimeter = 2*3x² + 2*4x

perimeter = 6x² + 8x

10 pts
The price of a video game was reduced from $60 to $45. By what percentage was the price of
the video game reduced?

Answers

Answer: It was reduced by 25%

Step-by-step explanation: to go from $60 to $45, you would've gone down $15. 15, or $15, if 1/4 of 60, or $60. 1/4 also is 25%, so the price would have gone down by 25%.

What is 6.85% percent written as a decimal?
0.685
.0685
68.5
.00685

Answers

.0685 is the answer. you move the decimal in the percentage two times to the left.

An architect is making a floor plan for an apartment. The floor plan will include a Great Room with a length of 30 feet and a width of 20 feet. On her floor plan, 1 4 inch will represent 1 foot of the room’s actual width.What will be the width of the Great Room, in inches, on her floor plan?

Answers

Will represent 1 foot of the room

1/2(8-6x)=x


NEED HELP!!!

Answers

Answer:

x=1

Step-by-step explanation:

1/2(8-6x)=x

Distribute

1/2 * 8 - 1/2 * -6x = x

4 -3x = x

Add 3x to each side

4 -3x+3x= x+3x

4 = 4x

Divide each side by 4

4/4 = 4x/4

1= x

Chase bought 5 chicken wings for $9.50. If Chase spent $26.60, how many chicken wings did he buy?

Answers

Answer:

14?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Point A is at (-7,-7) and point B is at (-5,5). What is the midpoint of line segment AB?​

Answers

Answer:

MP= (-6,-1)

Step-by-step explanation:

midpoint formula: [tex](\frac{x^{1}+x^{2} }{2})(\frac{y^{1} + y^{2} }{2} )=MP[/tex]

(-7,-7) ([tex]x^{1}[/tex],[tex]y^{1}[/tex])

(-5,5)  ([tex]x^{2}[/tex],[tex]y^{2}[/tex])

[tex](\frac{-7+-5}{2}) \\ (\frac{-7+5}{2})[/tex]= -7+-5/2= -12/2= -6

-7+5/2= -2/2= -1

Screen Shot- Please help- I give Brainliest for correct answer​

Answers

Answer:

3

1

4

-2

Step-by-step explanation:

imma math mannnnn

Solve y = x + 8 for x.

Answers

y = x + 8

Subtract 8 from both sides

y - 8 = x

Answer:

x= y-8

Step-by-step explanation:

Hope this helps.

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