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Yanka [14]
2 years ago
8

The polygons in each pair are similar. Find the missing side length / first one has 4 &x and second one has 12&18

Mathematics
1 answer:
sergiy2304 [10]2 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.

\frac{4}{12}=\frac{x}{18}

Find x by cross multiplying numerator and denominator of each fraction.

4(18) = 12x

72 = 12x

6 = x

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The following graph represents a retirement savings account after the owner of the account begins withdrawing 5% each year.
Dmitry [639]

Answer:

Options 2 and 5 are true.

Step-by-step explanation:

We are given that,

The graph represents the amount in the savings account after the owner withdraws the money each year.

According to the options, we have,

1. As time increases, the amount of money in the savings account is decreasing. So, the function is an example of exponential decay.

2. Also, the initial amount of money in the account is 500,000 dollars.

3. After 10 years, the amount in the account is less than 300,000 dollars.

4. Now, the amount withdrawn by the owner is decreasing exponentially and so cannot be same each year.

5. Further, the y-intercept is the point when y= 500,000 dollars, which is the amount of money in the account when the owner started withdrawing.

Hence, we get that,

Options 2 and 5 are true.

6 0
3 years ago
Read 2 more answers
Tom owns a $160,000 home, for which he has a 30-year mortgage in the amount of $900 a month. Once he has paid off the mortgage,
julsineya [31]

A he will pay $164,000

8 0
3 years ago
Read 2 more answers
Which situation could be represented by the equation - 30+30 = 0?
Shalnov [3]

Answer:

"Donna loaned $30 to her brother. He then paid her back $30 the next day" is the correct situation

8 0
2 years ago
Solve the following system of equations using elimination (Do not multipy)
aivan3 [116]
1) 5x - 6y = -32 --> equation 1
    3x + 6y = 48  --> equation 2
eliminating y from both of the equations and adding the rest of the terms
we get,
    8x = 16
    dividing 8 on both sides
    x = 2
Substituting the value of x in equation 1
   5(2) - 6y = -32
    10 - 6y = -32
   -6y = -12 ( dividing both sides by -6)
    y = 2

2) 
-3x - 3y = 9 ---> equation 1
      3x - 4y = 5 --> equation 2
eliminating x from both equations and adding the rest of the terms
 we get,
     -7y = 14 ( dividing both sides by -7 )
      y = -2
Substituting the value of y in the equation 1
    -3x - 3(-2) =9
    -3x + 6 = 9 (subtracting both sides by -6)
     -3x = 3
     x = -1

Hope this helps you..  :)
5 0
3 years ago
Read 2 more answers
Between 0900 and 10 30, a man walks a distance of 27 km. What is his average speed in km/h?
kramer

Answer:

18

Step-by-step explanation:

0900 to1030 is 1.5 h

Take 27/1.5

Then you will get the answer

6 0
2 years ago
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