The pentagon is a regular polygon (all sides are equal). What is the Perimeter?

One side is 8x-10
Another side is 2(x+1)

Answers

Answer 1

Given:

One side = 8x-10

Another side = 2(x+1)

To find:

The perimeter of the pentagon.

Solution:

We know that, all five sides of a regular pentagon are equal.

[tex]8x-10=2(x+1)[/tex]

[tex]8x-10=2x+2[/tex]

[tex]8x-2x=10+2[/tex]

[tex]6x=12[/tex]

Divide both sides by6.

[tex]x=2[/tex]

Now, the length of each side of the pentagon is

[tex]Side=8(2)-10[/tex]

[tex]Side=16-10[/tex]

[tex]Side=6[/tex]

We know that, perimeter of a regular pentagon is

[tex]P=5a[/tex]

Where, a is the side length.

[tex]P=5(6)[/tex]

[tex]P=30[/tex]

Therefore, the perimeter of the regular pentagon is 30 units.


Related Questions

4(f + 1) = 12
what does f equal

Answers

Answer:

f=2

Step-by-step explanation:

4(f+1)=12

4f+4=12

-4 -4

4f=8

f=2

Answer

F = 2

Step-by-step explanation:

Distributive property: 4f+4=12

-4 -4

Subtraction property of equality: 4f=8

/4. /4

Division property of equality: f=2

The extended ratio of the sides of a triangle is 7:8:10. The perimeter of the triangle is 275 cm. How many centimeters is the LONGEST side of the triangle?

Answers

Answer:

Longest side = 110 cm

Step-by-step explanation:

The extended ratio of the sides of a triangle is 7:8:10

Let sides are 7x, 8x and 10x.

The perimeter of the triangle is 275 cm.

Perimeter of a triangle = sum of all sides

7x+8x+10x = 275

25x = 275

x = 11

Longest sides of the triangle = 10x

= 10 (11)

= 110 cm

So, the longest side of the triangle is 110 cm.

Question 7 of 10
What is the solution to this equation

Answers

Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

x + 4x + 20 = 40 (Distribute the 4 into the x and 5)

5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)

Please help this is due tomorrow help

Answers

Answer: $4.50

Step-by-step explanation:

6+6+3.5= 15.5 paid with a 20 so 4 dollars and 50 cents change

Answer:

Step-by-step explanation:

Since Aiden paid only the admission price not the skate rental price soo..

3.50 for himself and 6*2 =12 for his friends

3.50+12=15.50

20-15.50 = 4.50  in change  :)

In the accompanying diagram, parallel lines ĀB and CD are cut by transversal EF. If
mZ2 = 72, what is mZ 1?

someone help?!

Answers

Answer:

They are co interior angle . so mZ 1 is 72 itself

Alex wants to buy a video game that sells for $59.99. An advertisement says that next week that video game will be on sale for $47.50. How much will Alex save if he waits until next week to buy the video game?
A $8.51
C $12.49
B $7.49
D $107.49​

Answers

This is just simple subtraction, 59.99 - 47.50

The answer is C: 12.49

An online file storage site offers a payment plan where users
can pay for a year membership in twelve equal payments.
If Manny paid $7.95 per month, how much did he pay in full
for the year?

Answers

Answer:   95.40

Step-by-step explanation:

7.95*12=95.40

A 12 ft ladder is leaning against a wall with an angle of elevation of 31.2 degrees. How high up the wall will the ladder reach? Round to the nearest tenth and show work..

Answers

Answer:

12/sin90'=b/sin67'

12sin67'=bsin90'

b=12sin67/sin90'

Step-by-step explanation:

sister ,we can use the law of sines. since we have the angle of elevation and assume the wall makes a right  angle with the ground, our angle opposite the ground is 180-[90+23=67

hope this is  helpful for you

A 3-pack of raffle tickets costs $5.76. What is the unit price​

Answers

Answer:

1.92

Step-by-step explanation:

to find the unit cost you just divide 5.76 by 3

5.76/3 = 1.92

Answer: 72

i looked it up it so it should be right

Joe spent half of his weekly allowance at the movies. To earn more money his parents let him wash the dog for $4. What was his weekly allowance if he ended with $12​

Answers

Answer:

take away the extra earning

12-4= 8

multiply what is left by 2

8 * 2 = 16

$16

Help me solve this problem please

Answers

Answer:

C

Step-by-step explanation:

It goes up as it goes right so not A or B. Not D as it is a straight line.

Suppose you want to use elimination to solve this system.
3x +11y = -1
(4x + 8y
= 6
By what numbers would you need to multiply the two equations in order to eliminate y? By what
numbers would you need to multiply the two equations in order to eliminate x instead? Drag and drop
the correct numbers and words into the boxes to complete the explanation.
You could multiply the first equation by
and the second equation by
and
then
the resulting equations to eliminate y. You might choose to eliminate x instead. To
do this, you would multiply the first equation by and the second equation by
and then
the equations.
4
-8
-4
add
11
-11
3
subtract
-3
8

Answers

If you want to eliminate x than multiply equation 1 by 4 and equation 2 by 3 and subtract them or,

If you want to eliminate y than mutiply equation 1 by 8 and equation 2 by 11 and subtract them.

-2x+5y=7
2x-5y=-7 What is the solution?

Answers

-2x+5y=7
add 2x to both sides:
5y=2x+7
Divide everything by 5 to get y by itself:
y = 2/5x+7/5

————————————
2x-5y=-7
Subtract 2x from both sides
-5y=-2x-7
Divid by -5 to get y by itself
y=2/5x+7/5

Please Answer the 3 questions in the picture

Answers

1.Proportional reasoning compares ratios to answer questions. We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.

3.The question is how many ways

There are as a many ways to solve a math problem as you can think of.(Some are shorter or easier than others.)

Essentially, an innfinite number.

sorry I have no idea other questions

What is the answer to B at the bottom?

Answers

Answer:

Step-by-step explanation:

A) For the city of Everettt, y-intercept  represent the number of chrome books they started with.

y - intercept = 550

Everett started the 2016 year with 550 chrome books

B)  y = 50x + 300

Explanation: They stared with 300 books at 2016. This will be the y-intercept

Rate of change = 50 books per year which will the slope

m = 50 and b = 300

y = mx + b

y = 50x + 300

Hint:  y- intercept is where x-coordinate =0

Determine whether the lines, 2x – y = 7 and y = – 1/2x – 10 are parallel or perpendicular . Explain the reason for your answer.

Answers

Answer:

perpendicular

Step-by-step explanation:

a line is perpendicular to another line when m of one line is the negative or opposite reciprocal of the other. m= 2

the perpendicular lines for that would be 1/2 which is the reciprocal and then the opposite sign which is negative.

What is the greatest possible whole number value of a congruent side lengths?
A. 9cm
B. 10cm
C. 14cm
D. 15cm

Answers

Answer:

C. 14cm

Step-by-step explanation:

The square of the longest line, in an obtuse triangle, is greater than the sum of the squares of the other two sides. So it is appropriate for equivalent legs to have a length

L^2 + l^2=2l^2

14^2+14^2=20^

196+196=400

392=400 400

The result:  14cm

Gabby needed to type up 12 documents during the week. By Wednesday, she only finished 3 1/5 documents. On Thursday, she finished another 5 3/4 documents. If she finished writing all documents by Friday, how much did she write on Friday?

Answers

Answer: She wrote [tex]3\dfrac{1}{20}[/tex] documents on Friday.

Step-by-step explanation:

GIven: Total documents needed to be done = 12

If she finished writing all documents by Friday, then the number of documents written on Friday = 12-(work done by Wednesday) - (work done on Thursday)

[tex]= 12 -(3\dfrac15)-(5\dfrac34)\\\\=12-\dfrac{16}{5}-\dfrac{23}{4}\\\\=\dfrac{12\times20-16\times4-23\times5}{20}\\\\=\dfrac{240-64-115}{20}\\\\=\dfrac{61}{20}\\\\=3\dfrac{1}{20}[/tex]

Hence, She wrote [tex]3\dfrac{1}{20}[/tex] documents on Friday.

The product of -3 and a number a is at least -24

Answers

Answer:

wouldn't it be -3 * 8 = -24

Step-by-step explanation:

also I love your pfp

Answer:

8

Step-by-step explanation:

-24/-3 = 8

if MNP = 107, what is NMQ ​

Answers

NMQ is 123°. Set it equal to 360° and use congruence

The measure of angle NMQ is 73 degrees

The given parameter is:

[tex]\angle MNP = 107[/tex]

From the given figure, angles MNP and NMQ are adjacent angles.

Given that the adjacent angles of a trapezoid add up to 180 degrees.

We have the following equation

[tex]\angle MNP + \angle NMQ = 180[/tex]

Make NMQ the subject

[tex]\angle NMQ = 180 -\angle MNP[/tex]

Substitute 107 for MNP

[tex]\angle NMQ = 180 -107[/tex]

[tex]\angle NMQ = 73[/tex]

Hence, the measure of angle NMQ is 73 degrees

Read more about adjacent angles at:

https://brainly.com/question/1149840

Listen
How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?
Enter a number in the box.

Answers

Answer:

2 unique triangles

Step-by-step explanation:

We can only form two triangles

Since two of the sides are equal, we can form two isosceles triangles

The first one will have 10, 10 , the last side, then 40, 70 , 70 as the internal angles

Just note that the angles must add up to be 180 and that there are two equal angles as we are dealing with an isosceles triangle

The second form is 10, 10 , 40 , 40 and 100

Here, we have the 40 on the sides of the base of the isosceles triangle with the measure 100 being the last angle

The number of unique triangles that can be formed with he given parameters are; 2

We are told that;

Two side lengths of the triangle = 10 cm

One angle = 40°

This means the that the triangle can be an isosceles triangle.

Now, the two equal angles could be 40° each.

Sum of angles in a triangle = 180°

Thus;

Third angle of the triangle = 180 - 2(40) = 100°

Now,if we assume that the 40° is not the equal angle, then it means that the equal angle will be;

(180 - 40)/2 = 140/2

>> 70°

Thus, we can make 2 unique isosceles triangles.

Read more about Isosceles triangle at; https://brainly.com/question/24371813

WHOEVER ANSWERS FIRST GETS BRAINLIEST AND I NEED AN EXPLANATION PLZ

Answers

Answer:

3x+17

Step-by-step explanation:

2(2x+6) - x + 5--->distibutive property

(4x + 12) -x + 5

3x + 17, you were correct

Answer:

3x + 17

Step-by-step explanation:

the distributive property in the parentheses and then use PEMDAS

HELP NOW PLEASEEEEEEEEEEEE ANSWER NEEDS TO B POSITIVE

Answers

Answer:

1

Step-by-step explanation:

So first we do (x^5)^2 which we know is just x^10 because of exponents of powers I believe it's called, basically you just multiply the two powers.

Then you do the bottom half which is x^3 * x^7 and that equals x^10 because of the product of exponent rule,

Then we do x^10/x^10 which = 1 because the same number over the same number is always 1.

Let me know if you have any questions

Answer:

Solving the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex] the answer is 1

Step-by-step explanation:

We need to solve the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex]

We know that exponent rule: [tex](a^m)^n=a^{m*n}[/tex]

Applying this rule in numerator

[tex]\frac{(x^5)^2}{(x^7)(x^3)}\\=\frac{(x^{5*2})}{(x^7)(x^3)}\\=\frac{(x^{10})}{(x^7)(x^3)}[/tex]

We know the exponent rule: [tex](a^m).(a^n)=a^{m+n}[/tex]

[tex]=\frac{(x^{10})}{x^{7+3}}\\=\frac{(x^{10})}{x^{10}}[/tex]

Now, using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

[tex]=x^{10-10}\\=x^0[/tex]

We know that [tex]a^0=1[/tex]

So, [tex]x^0=1[/tex]

Solving the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex] the answer is 1

which expressions are equal ?

Answers

Answer:

Step-by-step explanation:

Options B and D are correct as they are equal to 1728

B and D is the answer

a One-Step Equation- x + 6 = -10

Answers

Answer:

-x + 6 = -10

-x = -10 - 6

- x = -16

x = 16

Answer:

-16

Step-by-step explanation:

x = -16

-10 - 6 = -16

-16 + 6 = -10

In the evening, the golf course discounts a round of golf by 35%. What percent of the normal price do you pay if you play in the evening?

Answers

Answer:

65%

Step-by-step explanation:

100 = 35 = 65

Justin is 2 years older than one third Marcella's age. Aimee is is four years younger than 2 times Justin's age. Define a variable and write an expression to represent Justin's age. Then find Justin's age and Aimee's age is Marcella is 63 years old.

Answers

Answer:

M x 1/3 + 2. The variable is Marcella's age. If Marcella is 63, one third of her age is 21 so 21+2 = Justin is 23. Aimee is 23x2-4 so she is 62 years old.

Step-by-step explanation:

4x+1=2x-5 show all steps and solve for x

Answers

Answer:

x = -3

Step-by-step explanation:

4x + 1 = 2x - 5

~Subtract 1 to both sides

4x = 2x - 6

~Subtract 2 to both sides

2x = -6

~Divide 2 to both sides

x = -3

Best of Luck!

Final Answer: [tex]x = -3[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]4x + 1 = 2x - 5[/tex].

Step 1: Subtract [tex]2x[/tex] from both sides.

[tex]4x + 1 -2x = -5[/tex]

Step 2: Simplify [tex]4x + 1 - 2x[/tex] to [tex]2x + 1[/tex].

[tex]2x + 1 = -5[/tex]

Step 3: Subtract [tex]1[/tex] from both sides.

[tex]2x = -5 - 1[/tex]

Step 4: Simplify [tex]-5 - 1[/tex] to [tex]-6[/tex].

[tex]2x = -6[/tex]

Step 5: Divide both sides by [tex]2[/tex].

[tex]x = -\frac{6}{2}[/tex]

Step 6: Simplify [tex]-\frac{6}{2}[/tex] to [tex]-3[/tex].

[tex]x = -3[/tex]

~I hope I helped you! :)~

Need help ASAP!! I’m super bad at rounding!! What’s the number 838 rounded to the hundreds place???

Answers

Answer:

838 that is already rounded to the hundred place....

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

because if it is less than 50 it goes to the original number and if it is 50 or above it goes up

Translate the following statement to an inequality. Then, find the solution.

Three times the sum of a number and five is greater than or equal to negative six.

n ≥ -7
n ≥ -3
n ≤ -7
n ≤ -3

Answers

Answer:

3(n+5) ≥ -6

n ≥ -7

Step-by-step explanation:

3(n+5) ≥ -6

3n+15 ≥ -6

3n ≥ -21

n ≥ -7

Answer:

by solving the inequality you will get :

c. n =< -7

Step-by-step explanation:

here's the explanation in attached picture

Other Questions
PLS HELP WILL GIVE BRAINLIEST!!!What does the word chagrin mean in the following passage?"There was some self-pity creeping in, and not a little chagrin at being stup-id enough to just let them run when I didnt know the country." Similar Figures Question 6 Why does Buck listen to the men even though he does not want to?A) It is cold and Buck knows if he listens he will get somewhere warm fasterB) The man with the red sweater beat Buck with a club and Buck does not want that to happen againC) Buck knows if he listens he will get extra portions of food to be stronger for the next run Kendall is making and selling necklaces. It costs Kendall $2.00 to make each necklace. If she sells 40 necklaces for $5.00 each, how much profit did she make? What type of government was created for the first time when King John signed the Magna Carta? The length of a rectangle is 2 meters less than 3 times the width. The perimeter is 44 meters. Find the width. READ THE QUOTE BELOW. IN YOUR OWN WORDS, EXPLAIN IT'S MEANING BELOW IT."We've all got both light and darkness inside us. What matters is the part we choose to act on. That'swho we really are.- JK Rowling "pioneer logs" is a brand of children's toy which is sold in large cylindrical container. diameter = 29.5cmheight= 27.5cmwhat is the surface area of the lateral side ( the curved part)? what is the y intercept Which of the following terms is most closely related to Persuasion?1.Fiction2.Nonfiction3.Analysis4.Rhetoric The teacher asked a different group of students to make a batch of orange paint that had a ratio of cups yellow to cups of red. Create a table of 4 different sized batches that would make the shade of range she wanted. Then upload a picture of your table to this question from page 28 of your packet. The net force on the propeller of a 3.2 kg model airplane is 7.0N forward. What is the acceleration of the airplane? If it starts from rest, what is the velocity of the plane after 2.5 seconds? what kind of structure do the cations and anions in table salt form What is the value of x? Four-fifths x minus StartFraction 1 Over 10 Endfraction = StartFraction 3 Over 10 EndFraction One-fourth StartFraction 8 Over 25 EndFraction Two-fifths One-half During electrophoresis, the piece that moves the farthest from the well is ________.a.The smallestb. The largestC. The most positived. The most negativee.Cut into the most pieces it protect the internal organs and supports our body when we sit He is a star1. Simile2. Hyperbole3. Metaphor4. Personification 5. Onomatopoeia 6. Idiom Consider the following pairs of items: a. shampoo and conditioner b. iPhones and earbuds c. a laptop computer and a desktop computer d. beef and pork e. air-travel and weed killer Which of the pairs listed will have cross-price elasticity of zero The suns rays. Is suns plural or singular? HELP PLS IVE ASKED THIS LIKE 3 TIMES ALREADY!!!! Simplify:1. (2r + 4) - (16 - 8r)2. (8x - 3) - (2x + 6)3. (2 - 7y) - 3(y - 9)4. 2(3x - 4) - (2x - 5)