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2 years ago

How many solutions exist for the given equation?

Mathematics

1 answer:

g100num [7]2 years ago

3 0

Answer:

One answer exists for this equation.

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Need help with these two question!!??

lawyer [7]

The measure of x in both parts is: 120°

Step-by-step explanation:

Part A:

We can clearly see that the figure in part a has six equal sides. So the given figure is a hexagon.

A hexagon has six equal sides in six equal interior angles.

Sum of interior angles of hexagon is 720°

So,

$Measure\ of\ one\ agnle=\frac{Sum\ of\ interior\ angles}{number\ of\ angles}\\=\frac{720}{6}\\=120$

Part B:

The figure is a Dodecagon with 12 sides.

The Dodecagon has 12 equal sides and angles.

The sum of internal angles of Dodecagon is 1440°

So,

$Measure\ of\ one\ angle=\frac{Sum\ of\ angles}{Number\ of\ angles}\\=\frac{1440}{12}\\=120$

The measure of x in both parts is: 120°

Keywords: Polygons, Hexagon

Learn more about polygons at:

#LearnwithBrainly

6 0

3 years ago

Two planes are heading toward each other. One plane is traveling at 450 mph, and the other plane is traveling at 375 mph. What i

gavmur [86]

Answer:

the rate at which the distance between the planes is changing is 825 each hour

Step-by-step explanation:

The computation of the rate at which the distance between the planes is changing is shown below

= Travelling one plane + travelling another plane

= 450 mph + 375 mph

= 825 mi each hour

Therefore the rate at which the distance between the planes is changing is 825 each hour

We simply applied the above formula so that the correct value could come

And, the same is to be considered

3 0

3 years ago

An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle

omeli [17]

Answer:

$\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

$\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}$

The middle point of the base is placed at point

$\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i$

The length of the height is the distance between the points 5+9i and 7+3i

$\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}$

So, the area of the triangle is

$A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

4 0

3 years ago

If x=z+8 where z varies inversely as y and z=2 when y=3 find relation between y and x?

sattari [20]

Answer:

y = 6/(x - 8).

Step-by-step explanation:

z = k/y where k is a constant

2 = k/3

k = 6.

So z = 6/y

and x = 6/y + 8

Multiply through by y:

xy = 6 + 8y

xy - 8y = 6

y(x - 8) = 6

y = 6/(x - 8)

5 0

2 years ago

What number is 66% of 29.5

lana66690 [7]

19.47 is the answer. 29.5 * .66 or 66% is 19.47

3 0

3 years ago