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finlep [7]
3 years ago
7

an equilateral triangle and a regular pentagon have the same perimeter. Each side of the pentagon is 3 inches shorter than each

side of the triangle. what is the perimeter of the triangle?
Mathematics
1 answer:
klemol [59]3 years ago
6 0
The answer is 4.5 for the side length of the pentagon and 7.5 is the side length for the triangle because 7.5*3(3 sides) = 22.5 and 4.5*5(5 sides)= 22.5. The perimeter is 22.5
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Find two consecutive whole numbers such that 4/7 of the larger exceeds 1/2 of the smaller by 5
Darina [25.2K]

Answer:

The consecutive numbers are 62 and 63

Step-by-step explanation:

Let the larger number be represented by x and the smaller number by y,

Provided they are consecutive numbers;

x = y + 1 --- Equation 1

From the question; we have that

\frac{4x}{7} = \frac{y}{2} + 5 --- Equation 2

Required

Find x and y

Multiply both sides of equation 2 by 14

14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5

2 * 4x = 7 * y + 70

8x = 7y + 70 ---- Equation 3

Substitute y + 1 for x in equation 2

8(y + 1) = 7y + 70

Open bracket

8y + 8 = 7y + 70

Collect like terms

8y - 7y = 70 - 8

y = 62

x = y + 1

So,

x = 62 + 1

x = 63

Hence, the consecutive numbers are 62 and 63

8 0
3 years ago
If r = 9, b = 5, and g= −6, what does (r + b − g)(b + g) equal?
r-ruslan [8.4K]

Answer:

-20

Step-by-step explanation:

(r + b − g)(b + g)

we have fom statement:

r = 9    

b = 5

g= −6

so we have:

(r + b − g)(b + g)= (9+5-(-6))*(5+(-6))

(r + b − g)(b + g)= (14+6)*(-1)

(r + b − g)(b + g)= -20

8 0
3 years ago
**100** The given data represent the total compensation for 10 randomly selected CEOs and their​ company's stock performance in
Shalnov [3]

Answer:

Your answer is: Look Below

Step-by-step explanation:

Hope this helped : )

5 0
3 years ago
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statuscvo [17]

Answer:

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Step-by-step explanation:

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Now the population mean is given by \frac{1}{n} × ∑ x , where n is the number of lottery tickets and ∑ x  is the sum of the lottery numbers.

Summation of the lottery ticket numbers is 162

Thus the population mean is given by \frac{162}{6} = 27.

8 0
3 years ago
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makkiz [27]
I think the answer is (2x - 9)(x - 5)
7 0
2 years ago
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