Answer:
12 sides
Step-by-step explanation:
To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;
first write down the formula for finding sum of the interior angle of a polygon
s= (n-2)180
where s is the sum of the interior angle and n is the number of side
from the question given, sum of the interior angle s=1800 degrees
substitute s=1800 degree into the formula and solve for n
s= (n-2)180
1800 = (n-2)180
divide both-side of the equation by 180
1800/180 = n-2
10 = n - 2
add 2 to both-side of the equation
10 + 2 = n
12 = n
n= 12
The polygon have 12 sides
Answer:
The answer is B. 12 cm
Step-by-step explanation:
ABC is a right triangle
AB and BC are the legs and AC is the hypotenuse.
The Pythagorean theorem a^2 + b^2 = c^2 can be manipulated to solve for a and get 12.
Using proportions, the coordinates of point G are given as follows:
(1.8, 1.6).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The points A and B are given as follows:
A(-3, 4) and B(5,0).
For this problem, we have that the ratio of AG to GB is 3:2, hence:
AG = 3/5AB
G - A = 3/5(B - A).
The x-coordinate of G is found as follows:
x + 3 = 3/5(5 + 3)
x + 3 = 4.8
x = 1.8.
The y-coordinate of G is found as follows:
y - 4 = 3/5(0 - 4)
y - 4 = -2.4
y = 1.6.
Hence the coordinates of point G are given as follows:
(1.8, 1.6).
More can be learned about proportions at brainly.com/question/24372153
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The value of the probability P(A and B) is 0.20
<h3>How to determine the
probability?</h3>
The given parameters about the probability are
P(A or B) = 0.9
P(A) = 0.5
P(B) = 0.6
To calculate the probability P(A and B), we use the following formula
P(A and B) = P(A) + P(B) - P(A or B)
Substitute the known values in the above equation
P(A and B) = 0.5 + 0.6 - 0.9
Evaluate the expression
P(A and B) = 0.2
Hence, the value of the probability P(A and B) is 0.20
Read more about probability at
brainly.com/question/25870256
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