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polet [3.4K]
2 years ago
9

If two rectangles have the same perimeter, do they have to be congruent? Explain how you know.

Mathematics
2 answers:
ikadub [295]2 years ago
6 0

Answer:

No

Step-by-step explanation:

Take square 4 X 4. Perimeter =16

Take rectangle h2 X w6. Perimeter =16

Clearly the same perimeter and not congruent

but this is just what I think

Marat540 [252]2 years ago
6 0

Answer:

Step-by-step explanation:

Suppose one of them is a perimeter of 24

P = 1 + 1 + 11 + 11

P = 24

The second one has these dimensions

P = 4 + 4 + 8 + 8

P = 24

Do they look like they could be congruent to you? The first one looks long and narrow.

The second one looks like it's heading to be a square. (It's not of course, but it is closer than the long narrow one).

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The inequality 7-2/3x < x-8
romanna [79]
Am going to presume you want it solved.
Please pardon my presumption

7 - (2/3)x < x - 8,    Take all the x to one side of the inequality
-(2/3)x-x <  - 8 -7
-(5/3)x <  - 15    Divide both sides by -5/3  and inequality sign changes

x  >  (-15)/(-5/3)

x >    15  * 3/5        .     5 into 15 is 3.

x  >  3*3

x >    9

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%3D%201%20%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%20" id
Ulleksa [173]
The answer : x= one half
6 0
2 years ago
A plant foreman wanted to know how many hours had been spent on a particular project. He asked his supervisors to report the hou
anygoal [31]

Answer:

828.7 hours.

Step-by-step explanation:

To answer a question in which the total time has to be calculated of all the activities, first of all, all the times have to be converted to a single form. There are two types: decimals and fractions. Convert the fractions into decimals.

Department A = 202.50 hours.

Department B = 212 3⁄4 hours  = 212.75 hours.

Department C = 198.25 hours.

Department D = 215 1⁄5 hours = 215.20 hours.

Therefore, the total number of hours spent on this project by all four departments. is the sum of all the above numbers. 202.50 hours + 212.75 hours + 198.25 hours + 215.20 hours = 828.7 hours.

Therefore, the total time is 828.7 hours!!!

3 0
3 years ago
Read 2 more answers
The owner expects you to hand wash each coffee pot before the coffee shop opens. It takes 10 minutes for all of the coffee pots
tester [92]

Answer:

Total number of coffee pot = 16 pots

Step-by-step explanation:

Given:

Time taken for drying all coffee pot = 10 minutes

Total time taken for cleaning and drying coffee pot = 82  minutes

Time taken for clean a coffer pot = 4 ½ minutes = 4.5 minutes

Find:

Total number of coffee pot

Computation:

Total time taken for cleaning = Total time taken for cleaning and drying coffee pot  - Time taken for drying all coffee pot

Total time taken for cleaning = 82 - 10

Total time taken for cleaning = 72 minutes

Total number of coffee pot = Total time taken for cleaning / Time taken for clean a coffer pot

Total number of coffee pot = 72 / 4.5

Total number of coffee pot = 16 pots

8 0
3 years ago
789/548x-89/887=688/8724 find x
Olin [163]

\frac{789}{548}x- \frac{89}{887}=\frac{688}{8724}

first we try to semplify as much as possible the fractions.

First we decompose the numbers

789 = 3 * 263

548 = 2 * 2 * 137 = 2^2

they have nothing in common, so the first fraction remains so

89 = 89 (prime number)

887 = 887 (prime number)

they have nothing in common, so the second one remains so

688 = 2 * 2 * 2 * 2 * 43 = 2^4 * 43

8724 = 2 * 2 * 3 * 727 = 2^2 * 3 * 727

they have 2^2 (=4) in common, so the numerator and the denominator can be devided by 4

\frac{688}{8724}= \frac{688:4}{8724:4}=\frac{172}{2181}

so:

\frac{789}{548}x- \frac{89}{887}=\frac{172}{2181}

now we calculate the common denominator

take the scomposition:

548 = 2^2 * 137

887 = 887

2181 = 3 * 727

take every number one time

so the common denominator is 2^2 * 137 * 887 * 727 * 3 = 1'060'131'756

now calculate every single numerator: first we divide each denominator by the common denominator, then we moltiply the result with each numerator

first fraction: 789/548

1060131756 / 548 = 1934547

1934547 * 789 = 1526357583

second fraction: 89/887

1060131756 / 887 = 1195188

1195188 * 89 = 106371732

third one: 172/2181

1060131756 / 2181 = 486076

486076 * 172 = 83605072

now we can delete the common denominator

1526357583x - 106371732 = 83605072

solve it

1526357583x = 83605072 + 106371732

1526357583x = 189976804

x = 1526357583 / 189976804

decompose

1526357583 = 887 * 3 * 3 * 727 * 263

189976804 = 137 * 2 * 2 * 211 * 53 * 31

nothing in common

x = 1526357583 / 189976804

8 0
2 years ago
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