A rectangular book measures 4 x 7. What is the length of its

Mathematics

1 answer:

Crazy boy [7]3 years ago

5 0

B hope that helps have good one

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Kobotan [32]

<h3>Answer:</h3>

<h3>Explanation:</h3>

The formula usually used for the sum of interior angles of an n-sided convex polygon is ...

... angle sum = 180°×(n -2)

In your case, angle sum is 900°, so this becomes

... 900 = 180(n -2)

... 5 = n -2 . . . . . . . . . divide by 180

... 7 = n . . . . . . . . . . . the polygon has 7 sides

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It may be easy to remember that the sum of exterior angles is always 360°, and each exterior angle adds to its corresponding interior angle to make 180°. Then, for n angles The sum of interior and exterior angles is n·180°. Subtracting the sum of exterior angles from this gives the sum of interior angles: n·180° -360° = 180°(n-2).

6 0

3 years ago

Read 2 more answers

Amy is solving the equation using the steps shown.

Delicious77 [7]

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

$\mathbf{(x^2 - 16)(x + 2) = 0}$

The possible next steps are:

1. Expand the equation as follows

$\mathbf{x^3+2x^2-16x-32 = 0}$

2. Express x^2 -16 as a difference of two squares as follows

$\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is $\mathbf{(x + 4)(x- 4)(x + 2) = 0}$