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3 years ago

If three of the exterior angles of an equiangular polygon is total 90 degrees how many sides does the polygon have

Mathematics

1 answer:

kicyunya [14]3 years ago

7 0

Answer:

12 sides

Step-by-step explanation:

If the three equal angles add to 90, this means each of those angles must by 30 degrees.

Next, we can use the theorem that the sum of the exterior angles adds to 360 (this is true for any polygon). So, as the exterior angles are all equal to 30, we just work out 360 ÷ 30 = 12.

So the polygon has 12 angles, and therefore 12 sides also.

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Please. Answer Fast! Use composition to determine if G(x) or H(x) is the inverse of F(x) for the

s344n2d4d5 [400]

Answer:

A. H(x) is an inverse of F(x)

Step-by-step explanation:

The given functions are:

$F(x)=\sqrt{x-2}$

$G(x)=(x-2)^2$

$H(x)=x^2+2$

We compose F(x) and G(x) to get:

$(F\circ G)(x)=F(G(x))$

$(F\circ G)(x)=F((x-2)^2)$

$(F\circ G)(x)=\sqrt{(x-2)^2-2}$

$(F\circ G)(x)=\sqrt{x^2-4x+4-2}$

$(F\circ G)(x)=\sqrt{x^2-4x+2}$

$(F\circ G)(x)\ne x$

Hence G(x) is not an inverse of F(x).

We now compose H(x) and G(x).

$(F\circ H)(x)=F(H(x))$

$(F\circ H)(x)=F(x^2+2)$

$(F\circ H)(x)=\sqrt{x^2+2-2}$

We simplify to get:

$(F\circ H)(x)=\sqrt{x^2}$

$(F\circ H)(x)=x$

Since $(F\circ H)(x)=x$ , H(x) is an inverse of F(x)

3 0

3 years ago

11 less than the product of a number and -4

denpristay [2]

Answer:

-4n - 11

Step-by-step explanation:

Step 1: Convert words into an expression

11 less than the product of a number and -4

(n * -4) - 11

-4n - 11

Answer: -4n - 11

If needed solve

-4n - 11 + 11 = 0 + 11

-4n / -4 = 11 / -4

n = -2.75

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3 years ago

−8 3/4÷2 1/6 please show me ur work

nalin [4]

Answer:

- 4 1/26

Step-by-step explanation:

Solving in steps:

- 8 3/4 ÷ 2 1/6 =
- 35/4 ÷ 13/6 =
- 35/4 × 6/13 =
- 35/2 × 3/13 =
- 105/26 =
- 4 1/26

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3 years ago

When creating your budget, make sure the amounts (both income and expenses)

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Answer:

a. are for the same time period

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Answer:

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