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nirvana33 [79]
3 years ago
8

Find the sum of the measures of the angles in the polygon.

Mathematics
1 answer:
yan [13]3 years ago
4 0
It's an octagon.

The sum of the measures of the angles in the polygon with n sides:

S = 180°(n - 2)

n = 8

S = 180°(8 - 2) = 180° · 6 = 1080°

Answer: 1080°
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What is bigger:<br> 7/8<br> Or 3/4?
Aleks04 [339]

Answer:

7/8

Step-by-step explanation:

to compare them we need a common denominator

multiply 3/4 by 2/2 to get 6/8

we can then compare the numerators

7 > 6

7 0
2 years ago
If triangle RST and triangle XYZ are similar, which statement must be true?
Evgen [1.6K]
If triangle RST and triangle XYZ are similar, the statement that must be true is :
Angle R equals angle X

Triangle      R             S                    T
Triangle      X             Y                    Z

those three angles will be similar in this case

hope this helps
4 0
3 years ago
Read 2 more answers
The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial
GREYUIT [131]

Answer:

P(0) = 7,917

Step-by-step explanation:

The population of the community is given by the following formula:

P(t) = P(0)(1+r)^{t}

In which P(0) is the initial population and r is the growth rate.

The initial population P0 has doubled in 5 years.

This means that

P(5) = 2P(0)

Which lets us find r.

P(t) = P(0)(1+r)^{t}

2P(0) = P(0)(1+r)^{5}

(1+r)^{5} = 2

Applying the 5th root to both sides

1+r = 1.1487

r = 0.1487

So

P(t) = P(0)(1.1487)^{t}

Suppose it is known that the population is 12,000 after 3 years.

With this, we find P(0)

P(t) = P(0)(1.1487)^{t}

12000 = P(0)(1.1487)^{3}

1.5157P(0) = 12000

P(0) = \frac{12000}{1.5157}

P(0) = 7917

4 0
3 years ago
Find the radius of a circle using the Pythagorean theorem, given that the center is at (1, 5) and the point (5, 1) lies on the c
Assoli18 [71]

Given :

Center of circle, C = ( 1 , 5 )

Point on circle, P = ( 5 , 1 )

To Find :

The radius of a circle.

Solution :

We know, radius of circle is the distance between center and point of circle.

Distance between two points A(p,q) and B(r,s) is given by :

D = \sqrt{(p-r)^2+(q-s)^2}

So, distance between the points (1, 5) and (5, 1) is :

D = \sqrt{(1-5)^2+(5-1)^2}\\\\D = 5.66 \ units

Therefore, radius of circle is 5.66 units.

Hence, this is the required solution.

4 0
3 years ago
Find the area of the figure.
Aloiza [94]

Answer:

Step-by-step explanation:

4 0
2 years ago
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