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prohojiy [21]
3 years ago
6

Identify and extend the pattern to find the next number in this sequence: 56, 45, 34, 23

Mathematics
2 answers:
lawyer [7]3 years ago
6 0

56-45 = 11

45-34 = 11

 so each number is 11 less than the previous one

 so next number would be 23-11 = 12

Nezavi [6.7K]3 years ago
4 0
45 - 56 = -11 (This means that it goes down by 11 each time)

Then you can do: 23 - 11 = 12
Then: 12 - 11 to get 1

So the next two items are 12, 1

Hope this helps! :)

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A store is having a sale on almonds and jelly beans today. The table below shows the amount of each type of food (in pounds) and
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a. The system of equations are:

3x + 5y = 22

12x + 2y = 25

2. Cost for each pound of almond (x) = $1.5

Cost for each pound of jelly beans (y) = $3.5

<h3>How to Solve a System of Equations?</h3>

From the information given above, we can create the system of equations that will be used in solving the problem as shown below.

a. The system of equations that represents the situation is:

3x + 5y = 22 ----> equation 1

12x + 2y = 25 ----> equation 2

b. Multiply equation 1 by 2, and equation 2 by 5:

6x + 10y = 44 ----> equation 3

60x + 10y = 125 ----> equation 4

Subtract equation 4 from equation 3

-54x = -81

-54x/-54 = -81/-54

x = 1.5

Cost for each pound of almond (x) = $1.5

Substitute x = 1.5 into equation 1

3x + 5y = 22 ----> equation 1

3(1.5) + 5y = 22

4.5 + 5y = 22

5y = 22 - 4.5

5y = 17.5

5y/5 = 17.5/5

y = 3.5

Cost for each pound of jelly beans (y) = $3.5

Learn more about the system of equations on:

brainly.com/question/13729904

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3 0
1 year ago
In ΔABC, point M is the midpoint of side AB and point D is the midpoint of segment MC. Prove that the area of ΔADC= the area of
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A line segment from a vertex to the midpoint of the opposite side is a "median". A median divides the area of the triangle in half, as it divides the base in half without changing the altitude.
AAMC is half AABC. AADC is half AAMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
ABMC is half AABC. ABMD is half ABMC, so is 1/4 of AABC. (By the formula for area of a triangle.)
Then, AADC = 1/4 AABC = ABMC, so AADC = ABMC by the transitive property of equality.
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3 years ago
Name the intersection of line segment ek and line segment kl
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I don't know the answer sorry
3 0
3 years ago
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76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)​
alekssr [168]

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

A=\frac{1}{2} Pa where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

<u>1) Find the perimeter</u>

P=5l where l is the side length

Plug in the side length 7.6 cm

P=5(7.6)\\P=38

Therefore, the perimeter of the pentagon is 38 cm.

<u>2) Find the area</u>

A=\frac{1}{2} Pa

Plug in the perimeter (38) and the apothem (5.2)

A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

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