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3 years ago

Which angles are vertical angles?

Mathematics

1 answer:

Gekata [30.6K]3 years ago

4 0

Answer:

BCF and DCA

Step-by-step explanation:

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Graph a line that is perpendicular to the line y=-3x + 2 and has a y-intercept of -6.

Fiesta28 [93]

Answer:

Step-by-step explanation:

the line's equation would be

y = 1/3x -6

so just graph a line using this equation

hope this helps <3

6 0

3 years ago

20 = –d + 16<br><br> –4<br><br> –6<br><br> 4<br><br> –10

Alecsey [184]

Answer:

d=-4

Step-by-step explanation:

20 = –d + 16

Subtract 16 from each side

20-16 = –d + 16-16

4 = -d

Multiply each side by -1

-1 *4 = -1 * -d

-4 =d

8 0

3 years ago

a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form

lianna [129]

Answer:

The perimeter of the garden, in meters, is $24\sqrt{2}$

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that $d = 12$ , side s. So

$s^2 + s^2 = 12^2$

$2s^2 = 144$

$s^2 = \frac{144}{2}$

$s^2 = 72$

$s = \sqrt{72}$

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

$72 = 2^{3}*3^{2}$

So, in simplest radical form:

$s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}$

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

$P = 4s$

In this question, since $s = 6\sqrt{2}$

$P = 4s = 4*6\sqrt{2} = 24\sqrt{2}$

The perimeter of the garden, in meters, is $24\sqrt{2}$

5 0

3 years ago

a wildlife center presents a program about birds of prey. the center charges a basic fee of $325 and an additional fee for each

Rainbow [258]

The exhibition of 7 birds will cost $2,450

<h3>How to calculate the total cost ?</h3>

The wildlife center charges a basic fee of $325 for a bird exhibition

When 5 birds were exhibited, $125 additional fee was charged

The additional fee for a bird is

= 125/5

= 25

Therefore the total cost of exhibiting 7 birds can be calculated as follows

= 325 + 25

= 350

350 × 7

= 2,450

Hence the total cost for the exhibition of 7 birds is $2,450