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3 years ago

Factor 1/8 out of 1/8x + 7/8

Mathematics

1 answer:

blagie [28]3 years ago

8 0

(1/8)(x+7). Just take the 1/8 out of the whole thing. You have 1/8 * x = 1/8x and 1/8 * 7 = 7/8.

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Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha

GalinKa [24]

Answer:

$\theta_1 \ n\ \theta_2 = 120, 240$

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

$Nonagon = 9\ sides$

$Hexagon = 6\ sides$

Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

$\theta = \frac{360}{9} =40$

List the multiples of 40

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

<u>Hexagon</u>

$\theta = \frac{360}{6} =60$

List the multiples of 60

$\theta_2 = 60, 120, 180, 240, 300$

List out the common angles

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

$\theta_2 = 60, 120, 180, 240, 300$

$\theta_1 \ n\ \theta_2 = 120, 240$

This means that, only a rotation of $120, 240$ will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

7 0

3 years ago

How many ml of water is in an apple that weighs 180 g?

ZanzabumX [31]

Answer:

your answer is 211.23949776785489 milligrams

Step-by-step explanation:

i hope this helps

have a nice day/night

mark brainiest please :)

5 0

3 years ago

What is the equation of the vertical asymptote of the graph of f(x) = 2 log3(x + 1) – 3?

hammer [34]

Set the argument (x+1) equal to zero.
$x + 1 = 0 \\ x = - 1$

4 0

3 years ago

A vase in the shape of a cube measures 8 inches on each side. The vase is half full of water. How many cubic inches of water are

Ne4ueva [31]

Answer:

256

Step-by-step explanation:

First find the volume of the cube, which is 8^3, or 512. Half of that is how much water there is, which is 256 in^3.

7 0

3 years ago

Pls help me solve this

VARVARA [1.3K]

Answer:

Step-by-step explanation:

5 $\frac{5}{6}$ * 4 $\frac{1}{2}$

=5*6+5/6 * 4*2+1/2

=35/6 * 9/2

=35*9/6*2

=315/12

=105/4

=26 $\frac{1}{4}$

5 0

3 years ago