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AveGali [126]
2 years ago
11

PLEASE HELP! 20 POINTS AND BRAINLIEST FOR THE FIRST RATIONAL ANSWER! PLEASE EXPLAIN!!

Mathematics
1 answer:
Semmy [17]2 years ago
4 0

Answer:

C would be your answer

Hope this helps!

Step-by-step explanation:

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The product of a number and -8 gives eight times the sum of that number and 36. Find that number
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Answer:

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8(x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by -16

x = -18

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A diagonal connects a vertex to another vertex without being a side of the polygon. There are 14 vertices in a 14-gon. This leaves 13 vertices left to connect to (since we cannot connect the vertex to itself). However, two of these vertices will form the sides of the 14-gon. This leaves us with 11 possible diagonals we can draw.
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