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3 years ago

Pls help! will give brainlist!

Mathematics

2 answers:

igomit [66]3 years ago

8 0

The answer is: A

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144°

laila [671]3 years ago

4 0

<h3>Answer: a. 144 degrees</h3>

=====================================================

Work Shown:

E = exterior angle

n = number of sides

For any regular polygon, E = 360/n.

In this case, n = 10 as there are 10 sides, so E = 360/n = 360/10 = 36 degrees is the measure of each exterior angle.

Each interior angle is 180-E = 180-36 = 144 degrees

--------------

An alternative is to plug n = 10 into the formula below to get the measure of each interior angle i

i = 180(n-2)/n

i = 180(10-2)/10

i = 180(8)/10

i = 1440/10

i = 144

note: S = 180(n-2) is the sum of all the interior angles of any convex polygon. Dividing this sum over n will evenly divide the angle total to each interior angle.

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In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an

Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

$BC^2=AC^2+AB^2$

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

$10^2=a^2+a^2$

$100=2a^2$

$\Rightarrow a^2=50$

$\Rightarrow a=\pm5\sqrt{2}$

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

$\frac{1}{2}\cdot BC\cdot AD$ (1)

$\Rightarrow \frac{1}{2}\cdot 10\cdot AD$

And other method of area of triangle is:

$\frac{1}{2}\cdot AB\cdot BC$ (2)

Equating (1) and (2) we get:

$\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a$

$\Rightarrow AD=\frac{a^2}{10}$

$\Rightarrow AD=\frac{50}{10}=5$

Using area of triangle is: $\frac{1}{2}\cdot BC\cdot AD$

Now, the area of triangle ABC= $\frac{1}{2}\cdot 5\cdot 10$

$\Rightarrow 25$

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3 years ago

Can someone help me with this math question? First to answer will get Brainliest! :)

svetlana [45]

Answer:

Step-by-step explanation:

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2 years ago

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Simplify each expression as much as possible, and rationalize denominators when applicable. √72=?

Misha Larkins [42]

Answer:

6√2

Step-by-step explanation:

Solving the given expression step by step:

72 = 2 × 2 × 2 × 3 × 3

Now for finding the square root we will make pair of two numbers of same values.

We have one pair of 2's and one pair of 3's and left one 2

Thus, √72 = 2 × 3 × √2 = 6√2

We rationalize denominator and change it into a simpler form as soon as possible.

3 0

3 years ago

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Anna11 [10]

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3 years ago

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r-ruslan [8.4K]

just divide Atlantic/Mississippi

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2 years ago