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Ainat [17]
3 years ago
7

A regular pentagon and an equilateral triangle have the same perimeter...........

Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0

Answer:

Option 4: 45 units is the correct answer

Step-by-step explanation:

Let P_1 be the perimeter of Pentagon and

Let P2 be the perimeter of Triangle

So,

P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)

In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.

So,

P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20

Putting x = 20 in 2nd perimeter

P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45

As both the perimeters are same, the perimeter of pentagon will also be 45 units.

Hence,

Option 4: 45 units is the correct answer

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13. What is the result of adding 5.4a + 7.1 and -1.28 - 6.3?
den301095 [7]

Answer:

C. 4.2a + 0.8

Step-by-step explanation:

Given:

The two binomials given for addition are:

5.4a+7.1 and -1.2a-6.3

Now, adding both the binomials, we get:

5.4a+7.1+(-1.2a-6.3)

Distributing the positive sign inside the second binomial, we get:

5.4a+7.1-1.2a-6.3

Now, combining like terms using the commutative property of addition, we get:

(5.4a-1.2a)+(7.1-6.3)

Simplifying the above expression, we get:

(5.4-1.2)a+0.8\\4.2a+0.8

Therefore, the resulting addition of the given binomials is 4.2a+0.8

Hence, option C is the correct answer.

8 0
3 years ago
Millions of years ago, the Indian plate began pushing gradually towards the Eurasian plate. The land above started rising in var
deff fn [24]
Folded mountain with waves, twists, and turns. I believe because the article stated it was gradual and various patterns were formed.
7 0
3 years ago
Maritza esta vendiendo una bicicleta seminueva que ya no utiliza. Como le costo doscientos soles, incluido IGV, ahora la venderá
Sophie [7]

Answer:

Ok, primero, como lo deducimos gráficamente?

Sigamos estos pasos.

Dibujemos en una recta, la distancia entre el punto 0 soles y el precio de la bicicleta = 200 soles.

200 soles representa el 100%.

Ella lo quiere vender al 80% (o le quiere restar el 20%).

Entonces, con una regla, medir la distancia entre 0 soles y 200 soles.

Dividir esa cantidad por 10. (cada una de estas cantidades va a representar un 10%)

Multiplicar eso por 8.

Esa cantidad es el equivalente al 80% del precio de la bicicleta.

Abajo hay un dibujo donde se ve el método.

Una forma mas matemática de resolverlo es:

200 soles = 100%.

x soles = 80%

x es el precio al que ella va a vender la bicicleta:

Veamos el cociente de esas dos ecuaciones:

200/x = 100%/80%

x = 200*(80%/100%) = 160

Ella vendería la bicicleta en 160 soles.

8 0
3 years ago
The figure below shows the distance between two cities on a map is 1/8 inch to 12 miles. ​
Paul [167]

Answer: A. 38.4

Step-by-step explanation:

Because...

12/3.75 is 3.2; 3.2× 12 is 38.4. do 12÷ 3.75 meaning 3.2 miles every hour multiplied by 12 to get 38.4 miles.

* Hopefully this helps:) Mark me the brainliest:)!!

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3 years ago
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