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kozerog [31]
3 years ago
6

The Pentagons ABCDE and JKLMN are similar. Find the length "x" of JN.

Mathematics
1 answer:
Ilya [14]3 years ago
5 0
If polygons are similar, the values of the lengths of the corresponding sides will have the same or common ratio. Similarly, the values of the measures of the corresponding angles will be equal. From the given, we derive the equation,
              
                          AB/JK = AE/JN
Substituting the known values,
                           3 / 2.4 = 5 / x
The value of x from the equation is 4. Thus, the length of JN is equal to 4. 
 
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Solve this application problem using a system of equations: A grocery store recently sold a
seraphim [82]

Answer:

19 bags of peanuts and 31 bags of pistachios were sold.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of bags of peanuts sold.

y is the number of bags of pistachios sold.

50 bags of  peanuts and pistachios were sold

This means that x + y = 50, that is: x = 50 - y

A grocery store recently sold a  bag of peanuts for $0.76 and a bag of pistachios for $3.68. Were sold for a total of $128.52.

This means that:

0.76x + 3.68y = 128.52

Since x = 50 - y

0.76(50 - y) + 3.68y = 128.52

2.92y = 90.5

y = \frac{90.5}{2.92}

y = 31

x = 50 - y = 50 - 31 = 19

19 bags of peanuts and 31 bags of pistachios were sold.

5 0
3 years ago
What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?
sammy [17]
4(x – 3) + 4 < 10 + 6x
Distribute the 4 on the left side.

4x -12 +4 < 10 + 6x
Combine like terms on the left side.

4x-8<10 +6x
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-2x -8<10
Add the 8.

-2x <18
Divide by -2 & flip the inequality symbol (it's a math rule which states that if you multiply or divide by a negative, you must flip the inequality symbol).

x> -9

That's your final answer.
5 0
4 years ago
Please answer ASAP. 10 points. Mathematics
frosja888 [35]

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Y=(275x36)+800

this would then go to

y=10700-400

so the answer is 10300

hope this helps! enjoy!

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The answer is B.) V = 6w2 + 12w

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If a ratio of 2 to 5 how many people are the ratio of 2 out of 210 people
Wewaii [24]
I'm pretty sure it is 105 people

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3 years ago
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