An equilateral triangle has a side length of 1.4x + 2 inches
. A regular hexagon has
a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length
of the triangle? What is the side length of the hexagon? Show your work.
op
SOLUTION

Answers

Answer 1

Answer:

The Perimeter of an equilateral triangle = 1.4x+2+1.4x+2+1.4x+2

                                                                  = 4.2x+6

The Perimeter of a regular hexagon = 0.5x+2+0.5x+2+0.5x+2+0.5x+2+0.5x+2+0.5x+2

= 3x+12

Given that the perimeters are equal

4.2x+6 = 3x+12

4.2x - 3x = 12-6

1.2x = 6

x = 6/1.2

x=5

The side length of the triangle = 1.4x+2

                                                   = 1.4 (5) +2

                                                   = 9 inches

The side length of hexagon = 0.5x+2

                                              = 0.5(5) +2

                                              = 4.5inches


Related Questions

A candy bag contains 12
green candies and 1
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Which answer describes a possible event?

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Answer:

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Answer:

the answer is 1771! good luck!

Step-by-step explanation:

i attached an image with the steps!

ANSWER ASAP PLZ
Which statement is true based on the diagram?
O PQR - STR
O RST ~ RQP
O QR corresponds to TR.
O PR corresponds to RS.

Answers

Answer: B

O RST ~ RQP

Step-by-step explanation:

The statement that is true based on the diagram is: "QR corresponds to TR."

Based on the given information, we have the following:

1. PQ = 8 cm

2. QR = 12 cm

3. RT = 18 cm

4. ST = x cm (length not specified)

Now, let's analyze the statements:

1. [tex]\( \triangle PQR \sim \triangle STR\)[/tex] - This statement is not necessarily true because we don't have enough information to determine if the two triangles are similar.

2. [tex]\( \triangle RST \sim \triangle RQP\)[/tex] - This statement is not necessarily true because we don't have enough information to determine if the two triangles are similar.

3. QR corresponds to TR - This statement is true based on the fact that QR and TR are corresponding sides of the triangles [tex]\(\triangle PQR\)[/tex] and [tex]\(\triangle STR\)[/tex] that are intersected by transversal QRST.

4. PR corresponds to RS - This statement is not necessarily true because we don't have enough information to determine if PR and RS are corresponding sides of the triangles [tex]\(\triangle PQR\)[/tex] and [tex]\(\triangle STR\)[/tex].

So, the correct answer is: QR corresponds to TR.

To know more about diagram, refer here:

https://brainly.com/question/29251917

#SPJ6

Is this a complementary, supplementary, vertical, or adjacent

ill give brainly​

Answers

Answer:

its complemtary

Step-by-step explanation:

check this photo

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag

complete one column of the table with prices where popcorn is priced..... and to be continue ​

Answers

Answer:

The price for a 60-ounce bag of popcorn would be $16

Step-by-step explanation:

Answer:

The price for a 60-ounce bag of popcorn would be $16

Step-by-step explanation:

Function Modeling

The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.

The selection of the model is often a complex decision that involves statistics and data analysis.

The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.

The equation of a line of the volume V and the price p can be found with the expression

We'll use the first two values (6,10) (8,20)

Simplifying and rearranging, we get the model

To test the accuracy of the model, we compute the values of p for V=35 and for V=48

Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60

The price for a 60-ounce bag of popcorn would be $16

Which function describes the graph below?
X

Answers

La respuesta no está allí a si que cuando puedas no las mandas si!

Write 40673 to the nearest thousand.​

Answers

Answer:

50000

Step-by-step explanation:

Answer:

41000

thank me later have a great day

The system shown is
O
inconsistent

equivalent
consistent

Answers

Answer:

This is pogers

Step-by-step explanation:

What is ur minecraft usernaem

Answer:

consistent  

A consistent and independent solution to a system of linear equations is one point

A consistent and dependent solution to a system of linear equations is where they are the same line ( they could also be called equivalent)

An inconsistent solution is where there is no solution, the lines do not cross

Since the lines cross at exactly one point, this is a consistent and dependent solution

The solution is at x = 3  ( 3 units to the right of the origin)

and y = 2 ( 2 units up from the origin)

Step-by-step explanation:

Find the slope of the line that passes through (10, 2) and (1, 6).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

The original answer would be 4 over negative 9 but when divide a positive by a negative your new answer would be negative 4 over 9. The correct format should be negative 4 over 9

sin430° x sin490° x sin530° = 1/8​

Answers

Answer: 1/8

Step-by-step explanation:

https://math.stackexchange.com/a/1788346


The average number of televisions per family is numbered in the tens.
A. True
B. False

Answers

Answer:

False!

~The Average number of TVs in a house is 2 - 3

Hope this helps!

Answer:

False.

The average number of televisions per family would have to be more than ten for it to be true, and I find this very hard to believe.

Hope I helped!

1. What is the value of x?
40
х
9

A.41
B.26
C.17
D.39

Answers

Answer:

B

Step-by-step explanation:


How many angles do 5 triangles and 3 rectangles have?
(1) 7
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Answers

Answer:

27

Explanation:

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3 * 4 = 12 (3 rectangles with 4 angles each)

15 + 12 = 27

Answer:

the answer is 27 because a triangle has 3 sides so multiply 3 tomes 5 because of how many triandles and then the same with the rectangle that has 4 sides then multiply by 3 because of the number of triangles you have

Classify the solid figure.
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Answers

That looks like a rectangular prism
It’s A.
..................

Help please?? Thank you

Answers

Answer:

Isosceles right

Step-by-step explanation:

And isosceles triangle has 2 congruent sides, and since 90° is a right angles, it is a right triangle.

Answer:

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Answers

Answer:

Step-by-step explanation:

the correct answer of the question is y=x/3-3 b.c

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The ratio of the interior angles of a triangle is 2 : 3 : 4. What are the angle measures? Write the angle measures from least to greatest.

Answers

9514 1404 393

Answer:

  40°, 60°, 80°

Step-by-step explanation:

The total of ratio units is 2+3+4 = 9.

The total of angles in a triangle is 180°, so each ratio unit stands for 180°/9 = 20°.

The angle measures are ...

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You have 26 songs in your MP3 player. After you add some more, you have 39 songs. How many songs did you add?

A. -13
B. 13
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D. 23

Answers

Answer:

b

Step-by-step explanation:

39-26 = ?

39

-26

____

 13

you added 13 songs.

Pls help. Sorry if its blurry​

Answers

Answer:

5 divided by some number.

Step-by-step explanation:

Hope this helps!

Answer:

third option

Step-by-step explanation:

a researcher read a 12 page article in 30 mintues. on average, how much time did the researcher spend reading each page of the article? (1 minute = 60 seconds)

Answers

total minute(one year) = 15 X 365 no of pages read in one year = 12 x 200 = 1200

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Part 2

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Does anyone know????????

Answers

Answer:

1) -3/2

Step-by-step explanation:

The common ratio is the amount you multiply by to get to the next number in the sequence. To calculate this you will need to divide the term by its preceding term.

For example (3/4) / (-1/2)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (3/4) x (-2/1) = -3/2

Check this by doing the next term (-9/8) / (3/4)

When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (-9/8) x (4/3) = -3/2

If you are asked to complete 5 sit-ups for every 9 push-ups you complete, answer each of the following questions:
Write the ratio of push-up’s to sit-ups three different ways.

_____________ ____________ ____________


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____________

If you complete 95 sit-ups, how many push-ups did you complete?



_____________

Answers

Answer:

1)5:9 ,5 of 9 5/9 2) 36x5 3) 95x5

SOLVE FOR X!!
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Answers

Answer:

19

Step-by-step explanation:

Since it is a 90° angle we can say that 3x-15+2x+10 = 90.

3x-15+2x+10 = 90

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Answer:

19

Step-by-step explanation:

3*19 = 57

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WILL MARK BRAINLIEST
Hannah jumps rope 300 times. Sharon jumps rope 179 times. How many more times does Hannah jump rope than Sharon? Click on the numbers to enter the answers in the boxes​

Answers

Answer:

121

Step-by-step explanation:

300

-179

-------

121

Find the surface area of this cube Be sure to include the correct unit in your answer
i dont really understand this pls help me ill give you brainly and 5 stars and a heart

Answers

Answer:

Which cube?

Step-by-step explanation:

................

can 8 go into 3? plz answer

Answers

Answer:no

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Aaron currently earns $1,400 per month working. Each year he will get a $150 per month raise. How much money will Aaron earn per month in 7 years?

Answers

the correct answer is 10290000

Answer:

130,200

Step-by-step explanation:

Earnings for 7yrs= $1,400 × 12 months × 7yrs

= $117,600

Raise for 7 yrs= $150 × 12 months × 7yrs

=$ 12,600

Earnings in 7yrs= $117,600 + $12,600

= 130,200

I need help on this asap

Answers

Answer: 13.7ft (1 decimal place)

Step-by-step explanation:

For this question you will have to use Pythagoras theorem.

The formula for the short side is x²=c²-b² and when you put the numbers from this question into it you get x²=15²-6²

15²=225

6²=36

x²=225-36

x²=189

Then, as you want to find x on its own, you would have to square root 189 which is 13.7 (1 decimal place).

Hope this helps :)

PLEASE HELP ME ANYONE ???????????!!!

Answers

Answer:

A x>9

Step-by-step explanation:

add 4 to both sides and ta da

Answer:

x>9

Step-by-step explanation:

you move the negative 4 to the other side to get it away from x so then you can find the answer.

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Mariel says that a jewelry box that is 3 inches high, 4 1/2 inches wide, and 5 inches long has a volume of 67 1/2 inches. Katie says that answer is not quite correct. What is the error in Mariel's answer?

Answers

Answer: inside width, length and heights may be smaller

Step-by-step explanation. Walls of box have certain thickness, assume 0.1 inches. Then inner measures would be 2.8 in, 4.3 in and 4.8 in. You need to reduce thickness of wall from both sides.

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