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dimulka [17.4K]
3 years ago
8

a flower bed is in the shape of a triangle with one side twice the lengths of the shortest side, and the third sideis 16 feet mo

re than the length of the shortest side. Find the dimensions of if the perimeter is 164 feet
Mathematics
1 answer:
lions [1.4K]3 years ago
7 0
A triangle has 3 sides.
Let x be the shortest side.
X+2x+ 16+x= 164
4x= 164-16
X=148/4
X= 37 so shortest side =37
2x=37•2=74 second side =74
16+x=37+16=53 third side =53

Check 37+74+53=164 ✔️

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Answer:

5

Step-by-step explanation:

8x - 6 > 12 + 2x

Subtract 2x from each

8x -2x -6 > 12+2x-2x

6x -6 > 12

Add 6 to each side

6x -6+6 > 12+6

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Divide by 6

6x/6 > 18/6

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4 0
2 years ago
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Lesson Posttes
joja [24]

A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

<h3>What is congruency?</h3>

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

The complete question is:

Which of the following composition of transformations would create an

image that is not congruent to its original image?

A rotation of 45° followed by a reflection across the x-axis

A translation 2 units to the left followed by dilation by 1/2

A reflection across the y-axis followed by a rotation of 60°

A rotation of 135º followed by a translation of 4 units to the right.

After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.

All other options are reflection and rotation, which not fit into the situation.

Learn more about congruency here:

brainly.com/question/7888063

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7 0
2 years ago
An element with a mass of 630 grams decays by 30% per minute. To the nearest minute, how long will it be untill there are 30 gra
nataly862011 [7]

Answer:

It should take somewhere between 8 to 9 minutes to decay until there are 30 grams remaining.

6 0
3 years ago
A company has $6582 to give out in bonuses. An amount is to be given out equally to each of the 32 employees.
expeople1 [14]

A) His estimate is incorrect, since he has increased a figure to the amount that each employee would receive.

B) Rounded to the nearest dollar, each employee would receive $ 209.

Since a company has $ 6582 to give out in bonuses, and an amount is to be given out equally to each of the 32 employees, and A) a manager, Jake reasoned that since 32 goes into 64 twice, each employee will get about $ 2000 , to determine if his estimate is correct, and B) determine how much will each employee receive, rounded to the nearest whole dollar, the following calculations must be performed:

A)

  • 2000 x 32 = 64000
  • 200 x 32 = 6400

Therefore, his estimate is incorrect, since he has increased a figure to the amount that each employee would receive.

B)

  • 6582/32 = X
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Therefore, rounded to the nearest dollar, each employee would receive $ 209.

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4 0
2 years ago
Jon ate too many holiday cookies and gained 2.2 kilograms in December. Then he went on a diet and lost 1.5 kilograms in January.
gogolik [260]

Answer:

Jon lost a total of 3 kilograms in these 3 months.

Step-by-step explanation:

Weight that Jon gained in December = 2.2 kilograms

Weight that Jon lost in January = 1.5 kilograms

Weight that Jon lost in February = 3.7 kilograms

Overall Change in his weight = Total Weight he gained - Total weight he Lost

Total weight he gained is 2.2 kilograms as he only gained weight in December. Total weight he lost will be sum of weights he lost in January and February.

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This shows that Jon lost a total of 3 kilograms in these 3 months.

Conclusion:

The statement that best describe the total change in his weight is: Jon lost a total of 3 kilograms in these 3 months

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