Mathematics, 23.06.2019 04:00 vanessagallegos7445

Alana draws four squares, five pentagons and six octagons. marie draws n hexagons and notices that the combined number of diagonals in her hexagons is equal to the combined number of diagonals in alana’s polygons. what is the value of n?

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Answer from: nathanwhite2000

The value of n is 17.

Step-by-step explanation:

We are given,

Alana draws 4 squares, 5 pentagons and 6 octagons.

Marie drew 'n' hexagons.

Also, the combined number of diagonals in Alana's polygons is equal to the combined number of diagonals in Marie's hexagons.

Since, the number of diagonals in a polygon is given by $\frac{n(n-3)}{2}$ , where n is the number of sides.

So, using the formula, we have,

Number of diagonals in a square = 2

Number of diagonals in a pentagon = 5

Number of diagonals in a octagon = 20

Thus, total number of diagonals in Alana's polygons are 2×2 + 5×5 + 20×8 = 153.

Therefore, total number of diagonals in Marie's hexagons are 153.

As, number of diagonals in a hexagon = 9.

Total number of hexagons = $\frac{153}{9}$ = 17.

Hence, the value of n is 17.

Answer from: Quest

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Answer from: Quest

1/8 3/16 3/4

step-by-step explanation:

you put them as all the same denominator and multiply

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