Answer:
The value of n is 21.
Step-by-step explanation:
We are given that three of the exterior angle of the n-sided polygon are 50° each two of its interior angle are 127° and 135° and the remaining interior angle are 173 each.
As we know that the sum of all exterior angles of the polygon is 360°. Also, the number of remaining interior angles will be (n - 5).
And, the exterior angle = 180° - the interior angle.
So, according to the question;
150 + 53 + 45 + 7(n - 5) = 360
248 + 7n - 35 = 360
213 + 7n = 360
7n = 360 - 213
7n = 147
n = 
n = 21
Hence, the value of n is 21 and this is a 21-sided polygon.
Answer:
Option C 
Step-by-step explanation:
we have
The compound inequality can be divided into two inequality
-----> inequality A
----> inequality B
Solve inequality A
Divide by -3 both sides
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
Rewrite
The solution of the inequality A is the interval (-∞,-3]
Solve the inequality B
Divide by -3 both sides
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
The solution of the inequality B is the interval [-6,∞)
The solution of the compound inequality is
[-6,∞) ∩ (-∞,-3]=(-6,-3]
Answer: The correct option is (D) pie.
Step-by-step explanation: We are to select the correct number that produces an irrational number when multiplied by pie.
We know that if one of number is a non-zero rational number, then for the product to be irrational, we must have the other number irrational.
Give number is 2/5, which is rational. So the other number must be irrational.
Out of the given options, first three numbers are rational.
Only the last number pie is irrational. Because, the digits after the decimal are non-repeating and non-terminating.
So, the product will be irrational, if the other number is pie.
Thus, the correct option is (D).
That's easy if there is 100 chairs there would be 10 rows with ten chairs in each row
Answer:
The value of x is 2
Step-by-step explanation:
<h3><u>Given</u>;</h3>
<h3><u>To Find</u>;</h3>
Now,
tan 27 = 1/x
0.5 = 1/x
x = 1/0.5
x = 2
Thus, The value of x is 2
<u>-TheUnknownScientist 72</u>
