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madreJ [45]
3 years ago
9

Las longitudes de dos lados de un octágono regular están representadas por las expresiones 2x + 4 y 3x-8. Encuentra la longitud

de un lado del octágono
Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

2\cdot x + 4 = 3\cdot x - 8 (1)

A continuación, despejamos x en (1):

3\cdot x - 2\cdot x = 4 + 8

x = 12

Ahora, determinamos la longitud del lado del octágono: (x = 12)

l = 2\cdot x + 4

l = 28

La longitud del lado del octágono es de 28 unidades.

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2) 7/8+1/3+1/2=1\frac{17}{24}, so your answer is A

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4) 13+\frac{1}{4} +\frac{2}{3} find the Least Common Multiple (LCM) of

4, and 3, which is 12. Now make the denominators the same as the LCD, 13+\frac{1*3}{4*3} +\frac{2*4}{3*4}. Now Simplify; 13+\frac{3}{12} +\frac{8}{12} =13+\frac{3+8}{12} =13\frac{11}{12}, D is your answer.

5) LCD=9, so make the denominators the same as the LCD, \frac{4}{9} - \frac{1*3}{3*3} = \frac{4}{9} - \frac{3}{9} = \frac{4-3}{9} =\frac{1}{9}. Your answer is B.

6) 30-22\frac{5}{6}, (use.the.rule...a\frac{b}{c}=\frac{ac+b}{c}...because.22\frac{5}{6}.is.an.improper.fraction)

30-\frac{22*6+5}{6} =30-\frac{132+5}{6}=30-\frac{137}{6} = make the denominators the same 30*\frac{6}{6} -\frac{137}{6} =\frac{180}{6} -\frac{137}{6} =\frac{43}{6} =7\frac{1}{6}

7) 9\frac{5}{12} is an improper fraction, so you the previous rule I said to use for improper fractions.

\frac{9*12+5}{12} -4\frac{2}{3} =\frac{108+5}{12}-4\frac{2}{3}, also 4\frac{2}{3} is an improper fraction so use the rule again.

\frac{113}{12} -\frac{12+2}{3} =\frac{113}{12} -\frac{14}{3}, LCD=12

Make the denominators the same \frac{113}{12}-\frac{14*4}{3*4}=\frac{113}{12}-\frac{56}{12} =\frac{113-56}{12} =\frac{57}{12}=\frac{19}{4}=4\frac{3}{4}, the answer is D

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\frac{21+19+7}{19} -6\frac{8}{19} =\frac{399+7}{19} -6\frac{8}{19} = \frac{406}{19} -6\frac{8}{19}

6\frac{8}{19} is an improper faction

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20) Find the time it takes in all the routes by subtracting the time you leave to the time you get there, the answer is route four because it is 2 hours and 5 minutes.

Hope this helps, have a BLESSED and wonderful day, as well as a safe one!

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3 years ago
5. In the regular decagon shown, what is the measure of angle 1? *
Tamiku [17]

The image of the hexagon is missing, so i have attached it.

Answer:

∠1 = 36°

Step-by-step explanation:

From the image attached, we can see that the polygon is regular and has 10 sides.

Formula for an interior angle of a regular polygon is;

θ = 180(n - 2)/n

Where n is the number of sides of the polygon.

Thus;

θ = 180(10 - 2)/10

θ = 144°

Now, ∠1 forms a straight line with one of the interior angles of the polygon.

Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°

Thus;

144° + ∠1 = 180°

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4 years ago
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