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STALIN [3.7K]
3 years ago
9

The shortest sides of two similar polygons have lengths in the ratio 2:5. The perimeter of the smaller polygon is 20. The perime

ter of the larger polygon is
Mathematics
2 answers:
Mariulka [41]3 years ago
5 0
A similar triangle has the same ratio on every side, so that means the perimeter has the same ratio as well. 
Set up the proportion: 2/5 = 20/x
multiply the means and extremes to get
2x = 100
divide both sides by 2
x = 50
The perimeter of the larger polygon is 50
Hope this helped =)

zaharov [31]3 years ago
5 0

Answer:

The perimeter of the larger polygon is 20 units.

Step-by-step explanation:

We know that,

The ratio of the perimeters of two similar polygons is equal to the ratio of the corresponding sides of the polygons.

Here, the ratio of the corresponding sides of smaller and larger polygon is 2 : 5,

Also, given,

Perimeter of shorter polygon is 20 units,

Let x be the perimeter of the larger polygon,

By the above property,

\implies \frac{2}{5}=\frac{20}{x}

\implies 2x = 100 ( By cross multiplication )

\implies x = 50

Hence, the perimeter of the larger polygon is 20 units.

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mafiozo [28]

Answer:

<em>-3/2 and 1</em>

Step-by-step explanation:

Given the  arithmetic sequence  (y+2) (y+3) and (2y²+1), the common difference is gotten by taking the difference in their terms. For example if we have 3 terms T1, T2, T3... the common difference d = T2-T1 = T3-T2

From the  sequence given;

T1 = y+2, T2 = y+3 and T3 = 2y²+1

d = y+3-(y+2) = 2y²+1- (y+3)

open the parenthesis

y+3-y-2 = 2y²+1- y-3

1 = 2y²+1- y-3

1 = 2y²- y-2

2y²- y-2-1 = 0

2y²- y-3 =0

Factorize the resulting expression

2y²- y-3 =0

2y²- 2y+3y-3 =0

2y(y-1)+3(y-1) = 0

(2y+3)(y-1) = 0

2y+3 = 0 and y-1 = 0

2y = -3 and y =1

y = -3/2 and 1

<em>Hence the possible values of y are -3/2 and 1</em>

8 0
3 years ago
3.5.PS-26
notsponge [240]

Using a linear function, it is found that the algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week is:

  • y(m) = 0.6m + 340

<h3>What is a linear function?</h3>
  • A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • He pays an amount per mile, plus a flat weekly fee.
  • Researching the problem on the internet, it is found that the weekly fee for the small truck is of $340, hence b = 340.
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Then, the expression is:

y(m) = 0.6m + 340

To learn more about linear function, you can take a look at brainly.com/question/25823744

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3 years ago
Two trains, Train A and Train B, weigh a total of 493 tons. Train A is heavier than Train B. The difference of their weights is
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3 0
2 years ago
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Wewaii [24]

Answer:

Hello! answer: 432

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Then you add them all up so...

96 + 96 + 72 + 72 + 48 + 48 = 432 therefore the surface area is 432 hope that helps!

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