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N76 [4]
3 years ago
14

A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long co

ngruent sides are 2 centimeters longer than the two shorter congruent sides. Let x = length of a short side Let y = length of a long side The system of equations can be used to represent the situation. y = x + 2 2x + 3y = 36 What is the length of one of the shorter congruent sides?
A. 2 centimeters
B. 6 centimeters
C. 8 centimeters
D. 17 centimeters
Mathematics
2 answers:
Charra [1.4K]3 years ago
6 0

Answer:

B 6 centimeters

Step-by-step explanation:

y = x + 2

2x + 3y = 36

substitute y = x+2  into the second equation

2x + 3 (x+2) = 36

distribute

2x + 3x+ 3*2 = 36

combine like terms

5x+6 = 36

subtract 6 from each side

5x +6-6 = 36 -6

5x = 30

divide by 5

5x/5 = 30/5

x = 6

the short side is x =6

the longer side is

y= x+2

y = 6+2

y =8

12345 [234]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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Given the functions f(x) = 2x -1 and g(x) =
Novosadov [1.4K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

  • f(x) = 2x - 1
  • g(x) =  2 - x

a)

f(x) + g(x) = (2x - 1) + (2 - x)

                = 2x -1 + 2 - x

                = x + 1

b)

f(x) - g(x) = (2x - 1) - (2 - x)

              = 2x - 1 - 2 + x

               = 3x - 3

c)

g(-5) - f(-5)

Putting x = -5 in g(x) = 2 - x

g(x) = 2 - x

g(-5) = 2 - (-5) = 2+5 = 7

Putting x = -5 in f(x) = 2x - 1

f(x) = 2x - 1

f(-5) = 2(-5) - 1

       = -10 - 1

        = -11

Thus,

g(-5) - f(-5) = 7 - (-11) = 7+11 = 18

d)

f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2

e)

f(g(x)) = f(2-x)

          = 2(2-x)-1

          = 4-2x-1

          = 3-2x

6 0
3 years ago
I need loads of help!! If you know how to do this please help me!!!<br><br> It’s 6 and 7
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8 0
3 years ago
An investment of $5000 has an annual growth rate of 8% for 3 years
Fudgin [204]

Answer: The final balance is $6,341.21.

The total compound interest is $1,341.21.

Step-by-step explanation:

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3 years ago
Rectangular flower bed needs a thin metal border all the way around. The sides are 4' x 3' long how many feet of border should b
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Good luck to you! Any questions, ask away.

5 0
3 years ago
This table shows the relationship of the total number of pieces of fruit to the number of bananas.
ddd [48]

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is \dfrac{6}{5} not equivalent to \dfrac{3}{2}.

Solution:

If a, b, c are real numbers, then

\dfrac{a}{b}=\dfrac{a\times c}{b\times c}

The given fraction is \dfrac{3}{2}. It can be written as:

\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be \dfrac{6}{4}, not \dfrac{6}{5}.

Therefore, the correct option is A.

3 0
3 years ago
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