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Troyanec [42]
2 years ago
8

The perimeter of a triangle is 140 cm the length of the second side is twice the length of the first side the length of the thir

d side is 10 the last than three times the length of the first side
Mathematics
2 answers:
kykrilka [37]2 years ago
6 0

Perimeter = 140

Side 1 = x

Side 2 = 2x

Side 3 = 3x - 10

x + 2x + 3x - 10 = 140

6x - 10 = 140

6x = 150

x = 25

Side 1 = 25 cm

Side 2 = 50 cm

Side 3 = 65 cm

Hope this helps!! :)

Nataly_w [17]2 years ago
4 0

Answer: the length of the first side is 25 cm.

the length of the second side is 50 cm.

the length of the third side is 65 cm.

Step-by-step explanation:

Let x represent the length of the first side of the triangle.

The length of the second side is twice the length of the first side. It means that the length of the first side is 2x.

the length of the third side is 10 less than three times the length of the first side. It means that the length of the third side is

3x - 10

The formula for determining the perimeter of a triangle is

Perimeter = a + b + c

Where a, b and c are the lengths of each side of the triangle. The perimeter of the triangle is 140 cm. It means that

x + 2x + 3x - 10 = 140

6x = 150

x = 150/6

x = 25

The length of the second side is

25 × 2 = 50 cm

The length of the third side is

25 × 3 - 10 = 65 cm

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Step-by-step explanation:

we know that                              

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference (d)

In this problem we have the ordered pairs

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Let                                          

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a_3-a_2=-4-(-7)=3                  

a_4-a_3=-1-(-4)=3                        

a_5-a_4=2-(-1)=3                              

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The sequence graphed is an Arithmetic Sequence                    

therefore                                                                                    

The first term is a_1=-10                                    

The common difference is equal to d=3          

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