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3 years ago

What is the sum of the measures of the exterior angles of a pentagon? Enter your answer in the box.

Mathematics

1 answer:

sineoko [7]3 years ago

6 0

The answer is 360° :)

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Determine whether each expression is equivalent to

larisa [96]

The algebraic expressions, $x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$ and $5x + 3$ are equivalent to $2x + 4y - 5 + 3x + 8 - 4y$

To determine whether each expression is equivalent to $2x + 4y - 5 + 3x + 8 - 4y$ , apply the knowledge of algebra to solve each of the following in it's simplest form.

First, simplify $2x + 4y - 5 + 3x + 8 - 4y$ as follows:

Add like terms

$2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y - 5 + 8\\5x + 3$

Next, compare or simplify where necessary each of the given algebraic expressions with $5x + 3$

First Option

$x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$

Add like terms together

$2x + 4y - 5 + 3x + 8 - 4y\\2x + 3x + 4y - 4y -5+8\\5x + 3$

Therefore, $x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$ is equivalent to $2x + 4y - 5 + 3x + 8 - 4y$

Check the box for YES.

Second Option:

$6xy + 3 - 4y$ (cannot be simplified further)

$6xy + 3 - 4y\neq 2x + 4y - 5 + 3x + 8 - 4y$

Therefore:

Leave the box BLANK for NO.

Third Option:

$-8y + 5x - 3$ (cannot be simplified further)

$-8y + 5x - 3 \neq 2x + 4y -5 + 3x + 8 - 4y$

Therefore:

Leave the box BLANK for NO.

Fourth Option:

$5x + 3$

$5x + 3 = 2x + 4y - 5 + 3x + 8 - 4y$

Therefore:

Check the box for YES.

Thus, the algebraic expressions that are equivalent to $2x + 4y - 5 + 3x + 8 - 4y$ are:

$x + x + y + y + y + y - 5 + x + x + x + 8 - 4y$

$5x + 3$

Learn more about algebraic expressions here:

brainly.com/question/15122459

5 0

3 years ago

At 2:00 PM the temperature is 18°F. At 10:00 PM the temperature is -9°F.

Diano4ka-milaya [45]

Answer:

To figure out the change, we subtract the original temperature by the following after temperature.

18°F - original

-9°F - subsequent time after original

So we set up the equation;

18°F - (-9°F)

(Two negatives combine to form a positive)

18°F + 9°F

= 27°F was the change in temperature.

4 0

2 years ago

Compute a · (b ✕ c), where a = i − 3j + k, b = 4i + j + k and c = 9i − j + 3k.

grandymaker [24]

$\mathbf a=\mathbf i-3\,\mathbf j+\mathbf k$
$\mathbf b=4\,\mathbf i+\mathbf j+\mathbf k$
$\mathbf c=9\,\mathbf i-\mathbf j+3\,\mathbf k$

$\mathbf b\times\mathbf c=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\4&1&1\\9&-1&3\end{vmatrix}=4\,\mathbf i-3\,\mathbf j-13\,\mathbf k$

$\mathbf a\cdot(\mathbf b\times\mathbf c)=(\mathbf i-3\,\mathbf j+\mathbf k)\cdot(2\,\mathbf i-3\,\mathbf j-13\,\mathbf k)=4+(-3)^2-13=0$

6 0

3 years ago

What is the fraction 18/24 reduce to its lowest terms

zaharov [31]

$\frac{18}{24} = \frac{6\times 3}{6\times 4} = \boxed{\frac{3}{4}}$