A regular pentagon and an equilateral triangle have the same perimeter. The perimeter of the pentagon is 5(x-2) inches. The perimeter of the triangle is 4(1/2x+2) inches. What is the perimeter of each figure?

Answers

Answer 1

Answer:

20 inches.

Step-by-step explanation:

We equate the perimeters:

5(x - 2) = 4(1/2x + 2)

5x - 10 = 2x + 8

5x - 2x = 8 + 10

3x = 18

x = 6

The perimeters = 5(6-2)

= 20 inches.


Related Questions

The ratio of adult to children is 5:2, There are 35 adults at the museum, how many children are there

Answers

Answer:

14 children

Step-by-step explanation:

If we know the ration, and we are given the adults, we can set up a proportion in order to solve for the amount of children there are.

5:2=35:x

5x=35*2

5x=70

x=14

There are 14 children

In ∆EFG, the measure of angle G=90,the measure of E=77, and GE=2.6 feet. Find the length of FG to the nearest tenth of a foot.​

Answers

Step-by-step explanation:

Using Trignometry,

tan77° = Opposite/Adjacent = FG/GE.

Therefore FG = GEtan77°

= (2.6)tan77° = 11.3 feet.

Someone help and please make sure the answer is right :)

Answers

The answer would be -6

Answer:

B

Step-by-step explanation:

their alternate exterior angles so they are equal

9x + 12 = 120

9x = 108

x = 12

ASAP,What are the possible solutions to a system of equations and What does it mean for a system of equations to have one Solution, no solution, infinite many solutions?
(its an essay so plz explain it to me)

Answers

Answer:

ok for the first one the lines only cross once 2. lines dont cross 3. its just one line

Step-by-step explanation:

im pretty sure thats right

what is the image of (8,7) after a reflection over the line y=-x?

Answers

Answer:

(-7,-8)

Step-by-step explanation:

The original point is (8,7)

To reflect it, just switch their places and change their signs.

So, (-7,-8)

Please help me. Is that right?

Answers

Answer:

Yes

Step-by-step explanation:

Answer:

Angle 5

Step-by-step explanation:

CAN SOMEONE HELP ME WITH THIS ONE !

Answers

Answer:

5/8 = 0.625

Step-by-step explanation:

I have attached a picture of me solving the steps. Hope this helps, thank you !!

A TV that usually sells for $300 is on sale for 15% off. What is t the price of the stereo after the 15% discount. $250 $285 $255​

Answers

Answer: $255
Explanation: Multiply 300x15% to find the amount of money discounted which is $45. Then subtract the $45 from the $300 to get $255. Hope this helps!
^ thats for the TV. Re-read the question. It says for stereo. They forgot a part.

Marcus bought r movie posters for $6 each. Write an algebraic expression for total amount Marcus spent.

Answers

He’s probably broke

Answer:

6*R

Step-by-step explanation:

because if R is the amount of posters you can do the 6 multiplied by the R to help

Anna pays $120 per month for plano lessons. Estimate how much Anna pays
each year for plano lessons by rounding the amount paid to the nearest hundred.

Answers

Answer:

1440

Step-by-step explanation:

1440 because u have multiply 120x12 because there r 12 months

PLEASE HURRY Question 2(Multiple Choice Worth 1 points)
(07.01 LC)
What is the value of x in the equation -6 + x = -4?
0-10
O
-2
O2
O 10

Answers

2
So it’s third option
All u have to do is

Add 6 to both sides so
-4+ 6 is 2

Thus

X=2

Q1 - Understanding simultaneous equations
Solve these simultaneous equations.
4 pillows and 5 quilts cost $57
9 pillows and 5 quilts cost $72
Find the cost of one of each.
4p + 59 = 57
9p + 59 = 72
P =
and q =
3 apple pies and 5 banoffee cost $28
3 apple pies and 7 banoffee cost $38
Find the cost of one of each.
3a + 5b = 28
3a + 2b = 38
a =
C
and b =
6 mugs and 3 plates cost $21
3 mugs and 3 plates cost $15
Write down and solve simultaneous
equations (m is the cost of a mug and
p is the cost of a plate, in $).
cal
m =
and p =
[
0

Answers

p and q are the numbers of pillows and quilts, respectively.
4p+5q = 57
9p+5q = 72

Subtract the second equation from the first equation.

4p+5q = 57
-9p-5q = -72
——————
-5p = -15

p = 3

4(3)+5q = 57
5q = 57-12 = 45
q = 9

A pillow costs $3. A quilt costs $9.

HELP LAST ONE :”)) PLZ HELP ME I WILL LITERALLY LOVE U

Answers

Answer:

y=-2x+6

Step-by-step explanation:

Did on Calculator.

Answer:

its really simple x is increasing by 1 and y is decresing by 2

Step-by-step explanation:

Which of the following is a true statement about the angles in the figure below?
(If you can answer for me well I will tip you and give you good reviews)

Answers

The answer is D.

Hope this helps

Evaluate. 8^4 · 8^–6

Answers

Answer:

0.015625

Step-by-step explanation:

8⁴×8⁻⁶

= 8⁴⁺⁻⁶ = 8⁻² = 0.015625

Answer:

x/64 hope this helps

Step-by-step explanation:

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PLSSSS SHOWWW THE WORKKK!!!!

Answers

Answer:

there is the answer let me now if i was right

Step-by-step explanation:

A triangle has a base of 18.1 kilometres and a height of 17.4 kilometres. What is the area?

Answers

Answer:

157.47km²

Step-by-step explanation:

Given the following

base of 18.1 kilometres

height of 17.4 kilometres

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 18.1 * 17.4

Area of the triangle = 314.94/2

Area of the triangle = 157.47km²

Hence the area of the triangle is 157.47km²

Three students have already enrolled for a creative writing class. The teacher will cancel the class if there are fewer than 10 students enrolled. Write three values for numbers of students needed to sign up so that the the creative writing class can be held

Answers

Answer:

7, 10 and 15

Step-by-step explanation:

Given

[tex]S_1= 3[/tex]  --- Students already enrolled

[tex]Total = 10\ (less)[/tex]

Required

Determine the additional number of students needed for the teacher not to cancel the class

First, we need to calculate the number of students for the teacher to cancel the class.

Represent this with x.

So, we have:

[tex]S_1 + x < Total[/tex]

Make x the subject

[tex]x < Total - S_1[/tex]

Substitute values for Total and S1

[tex]x < 10 - 3[/tex]

[tex]x < 7[/tex]

This means that if less than 7 additional students come to the class, the teacher will cancel the class.

So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)

I need some help here please​

Answers

Answer:

d. raíz de 44

[tex] \sqrt{48 \\ } [/tex]

I believe the answer is D.

That’s because in radicals if there’s a square inside they square root that and put it on the outside. For example for √8, it would be 2√2, since the four can be square rooted, and there is still a 2 left inside the square root. For √48, there is a sixteen inside so you square root the 16 and get 4√3. Hope this helps

Rita is designing a building shaped like a pyramid that's cut off in a plane parallel to its base (this is called a truncated pyramid). The building has a 64×64 m end text square base and is 36 m tall. The cut off section has an a16×16m square base and is 12 m tall. What is the volume of the building? Round to the nearest cubic meter.

Answers

Answer:

64,512 m3

Step-by-step explanation:

3 1

​  

(base area)(height) =  3 1

​  

(64⋅64)(48)  =65,536

​  

The volume of the building is 64512 cubic meters if the pyramid that's cut off in a plane parallel to its base.

What is a right square pyramid?

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the squares joints at the top which is perpendicular to the center of the square.

We know volume for the right square pyramid is given by:

[tex]\rm V= \frac{1}{3} b\times h[/tex]

Volume for the cut off portion:

[tex]\rm v = \dfrac{1}{3}\times16\times16\times12[/tex]

v = 1024 cubic meters

Volume for the completer pyramid"

[tex]\rm V=\dfrac{1}{3}\times64\times64\times48[/tex]

V = 65536 cubic meters

Volume of the building = 65536 - 1024

= 64512 cubic meters

Thus, the volume of the building is 64512 cubic meters if the pyramid that's cut off in a plane parallel to its base.

Learn more about the right square pyramid here:

brainly.com/question/13057463

#SPJ2

Solve the inequality for x.
-3x + 6 > 48
A)
x < -14
B)
X<-18
C)
X > -14
D)
X > -18

Answers

A) - 14 is the correct answer

please help i'm horrible at math ajdbvkdfjgvnfjglbdfg

Answers

Answer:

-29/3 i think

Step-by-step explanation:

HELPP PLEASE NOW!!!!!!!!

Ten players on Michelle's soccer team were asked if they will attend a soccer camp this summer and 7 said yes. There are 20 players on the team in all.

Write a pair of equivalent fractions that could be used to determine the number of players that will attend camp this summer.

How many players on Michelle's soccer team will attend a soccer camp this summer?

Answers

Heiwejwnrksjsgdkdbjehens

s is inversely proportional to t
When s = 0.5, t = 7
Work out s when t = 0.8

Answers

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

[tex]s\propto \dfrac{1}{t}[/tex]

[tex]s=\dfrac{k}{t}[/tex]       ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

[tex]0.5=\dfrac{k}{7}[/tex]

[tex]0.5\times 7=k[/tex]

[tex]3.5=k[/tex]

Putting k=3.5 in (i), we get

[tex]s=\dfrac{3.5}{t}[/tex]

This is the equation of proportionality.

Putting t=0.8, we get

[tex]s=\dfrac{3.5}{0.8}[/tex]

[tex]s=4.375 [/tex]

Therefore, the value of s is 4.375 when t=0.8.

Bianca has to drive 180 miles to her aunt’s house. She drove 30% of the total distance before lunch. How many miles did Bianca drive before lunch? Show your work.

Answers

Answer:

6 miles

Step-by-step explanation:

180 ÷ 30 = 6

Bianca drove 6 miles before lunch to her Grandma's house.

Find two numbers that have a sum of 4 and a product of -5

Answers

Answer:

-1 and 5

Step-by-step explanation:

Helen goes into a shop.
She wants to buy 2 shirts and a pair of shorts,
Each shirt costs £24.50
The pair of shorts costs £18.90
Helen only has £70 to spend,
Does Helen have enough money to buy the 2 shirts and the pair of shorts?

Answers

Answer:

yes

Step-by-step explanation:

2*24.50=49 (two shirts)

18.90 (pair of shorts)

49+18.90=67.90

she can spend 70, means she can buy all of those and she still has 2.10  

i need help asap!!!!

Answers

Answer:

it's A

Step-by-step explanation:

just did it made 80

Answer:

heyy hello how r u? I hope u r fine

Ashley is making trail mix.The ratio of peanuts to raisins in one portion is 5:9. Create a ratio table to find out how many peanuts and raisins you will need if you make 7 portions and 12 portions ​

Answers

5:9
10:16
15:21
20:36
25:45
30:54
35:63

The number of peanuts and raisins for 7 portions is 35 and 63 respectively.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of peanuts to raisins in one portion is 5:9.

Number of peanuts and raisins you will need if you make 7 portions and 12 portions.

Now, 5×7 : 9×7

35:63

Here, 5×12 : 9×12

60 : 108

Therefore, the number of peanuts and raisins for 7 portions is 35 and 63 respectively.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ5

What are the answers?

Answers

Answer:

I think c

Step-by-step explanation:

plz make me brainliest

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