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olga nikolaevna [1]
3 years ago
10

What is the value of x?

Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

Answer:

3

Step-by-step explanation:

Triangles with the same shape but different size are proportional. Proportional means that their side lengths form equal ratios. To solve for x, set up a proportion.

The ratios we will create will be \frac{long}{short} =\frac{long}{short} where each long and short are corresponding sides from each triangle.

So write:

\frac{4}{x} =\frac{3}{2.25}

To solve, cross multiply numerator with denominator.

4(2.25) = 3(x)

9 = 3x

3 =x

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Let's call the midpoint of GF M.
MF = 16/2 = 8
KF = 25.89
MK = sqrt(25.89^2 - 8^2)
MK = 24.62
MKF = 8 * 24.62 / 2 = 98.48 square units for one triangle
There are 20 of those triangles that make up the decagon.
Therefore the total area = 20(98.48) = 1969.6 which would be option C
 
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3 years ago
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If 12x +1 =-7, what’s is the value of x over 8
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(20+.5x)+.15(20+.5x)how do you work this question out
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Alice, Bob, Carol, David, and Edward are being chosen for the positions
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The computation illustrated by the combination shows that the number of ways will be 60 ways that the roles can be filled.

<h3>How to solve the number of ways?</h3>

From the information given, Alice, Bob, Carol, David, and Edward are being chosen for the positions of president, vice president, secretary, treasurer, and publicity chair for their school’s math club and each student can take at most two roles

It should be noted that based on the information given, This can be solved through permutations and combination. Permutations and combination implies the various ways that the objects from a set can be selected without replacement in order to be able to form subsets.

Therefore, the number of ways based on the information given will be:

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Therefore, based on the information given above, it can be deduced that the there will be 60 ways that the roles can be filled.

Learn more about combinations and computation on:

brainly.com/question/4658834

#SPJ1

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