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lubasha [3.4K]
3 years ago
13

A triangle pattern is shown below.

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer:

A) P = 6n + 8

Step-by-step explanation:

Given:

Perimeter of the 1 triangle = 24

Perimeter of the 2 triangle = 30

Perimeter of the 3 triangle = 36

Let's check with option A.

P = 6n + 18, where "n" is the number in the figure.

Plug in n = 1, we get

P = 6(1) + 18

= 6 +18

P = 25 True.

Plug in n =2, we get

P = 6(2) + 18

= 12 +18

P = 30 True.

Plug in n =3, we get

P = 6(3) + 18

P = 18 + 18

P = 36, true.

Therefore, the answer is A. P = 6n + 18

Thank you.

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borishaifa [10]

Answer:

7. x=3

8. l=11cm and w=7 cm

9. x-5\ge12

10. \frac{x}{3}\le15

Step-by-step explanation:

Question 7.

The given expression is:

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Expand the parenthesis using the distributive property:

12-6x-3=7x-21-3x

Group similar terms:

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Simplify

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Divide both sides by -10

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Question 8:

Let the width of the rectangle be; w

The length of the rectangle is l=w+4

The perimeter is given as: P=2(l+w)

Given that the perimeter P=36, then:

36=2[(w+4)+w)]

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Divide both sides by 2:

\implies 18=2w+4

Subtract 4 from both sides:

\implies 18-4=2w

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\implies w=7

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Question 9

Let the number be x.

"5 fewer than the number" is written as x-5

"5 fewer than a number is at least 12" becomes

x-5\ge12

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

\frac{x}{3}

The quotient of a number and 3 is no more than 15 is written as;

\frac{x}{3}\le15

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