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3 years ago

19. What is the sum of the measures of the exterior angles in a nonagon? Explain.

1 answer:

4 0

Answer: 360°.

Explanation.

The sum of the measures of the exterior angles of any simple polygon is 360°. That is true for triangles, rectangles, pentagons, hexagons, a so on, any polygon including, of course, the nonagon.

You can verify this if you draw the nonagon with its 9 exterior angles. You can realize that you may translate every angle to one common vertex and that the sum of all angles is equal to a complete turn around the vertex. Of course, you know that a complete turn is an agle of 360°.

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A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.

Natasha2012 [34]

Answer:

$C = (\frac{21}{5},\frac{33}{5})$

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

$Ratio = 2:3$

The new coordinate can be calculated using

$C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})$

Where

$(x_1,y_1) = (1, 9)$

$(x_2, y_2) = (9, 3)$

$m:n = 2:3$

Substitute these values in the equation above

$C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})$

$C = (\frac{18 + 3}{5},\frac{6 + 27}{5})$

$C = (\frac{21}{5},\frac{33}{5})$

Hence;

The coordinates of the new center is $C = (\frac{21}{5},\frac{33}{5})$

7 0

3 years ago

I’m confused please helppp

Alborosie

For the first one we see that the shape is that of a parabola and is translated down a few units, We can eliminate linear, exponential
and looking at the general shapes of quadratic and polynomial functions we can conclude that the graph is from a quadratic equation

So Answer is: (2) quadratic

I hope that helps

4 0

3 years ago

I NEED HELL LIKE RIGHT NOW !!! Which equation represents the graph?

aliya0001 [1]

Answer:

ummm im pretty sure its d

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Jim was given three functions and asked to determine ƒ + (g ○ h). The functions were ƒ (x) = x2, g(x) = 3x + 1, and h(x) = 2x. J

melisa1 [442]

Answer:

3x+2x+2x=7*2

7x=14

x=14/7

x=2

8 0

3 years ago

Stephen uses \dfrac{2}{25}

zepelin [54]

Answer:

$13\dfrac{3}{4}$ servings$

Step-by-step explanation:

Stephen uses $\dfrac{2}{25}$ kilograms of tofu in each serving of his dish.

He has $1\dfrac{1}{10}$ kilograms of tofu.

We want to determine how many servings Stephen can make.

To do this, we divide the total weight of tofu by the weight per serving.

$\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div \dfrac{2}{25}\\\\= \dfrac{11}{10}X \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings$

Stephen can make $13\dfrac{3}{4}$ servings$ .

6 0

3 years ago