Answer:
140 deg
Step-by-step explanation:
The sum of the measures of the interior angles of an n-gon is
(n - 2)180
In a 9-gon, there are 9 sides, so n = 9.
The sum of the measures of the interior angles of a 9-gon is
(n - 2)180 =
= (9 - 2)(180)
= 7(180)
= 1260
A regular polygon has congruent interior angles. A 9-gon has 9 congruent interior angles. The measure of each interior angle is the sum of the measures of the interior angles divided by the number of angles.
1260/9 = 140
Answer:
18
Step-by-step explanation:
90 x 0.2 = 18
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x - 
x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified
Answer:
Q.D.E=(5+2i).(5-2i).i = (25-4i²)i = 25i-4i³
Step-by-step explanation:
The complete inequality is -2 < x < 35
<h3>How to determine the range of value of x?</h3>
The figure attached to the question is the given parameter
From the figure, we understand that:
Side length BA and side length BD are equal.
This is represented as:
BA = BD
Because the side length AC is less than the side length CD, then it means that:
The measure of the angle ABC is less than the measure of the angle CBD
This is represented as:
∠ABC < ∠CBD
Where
ABC = x + 2
and
CBD = 37
Substitute ABC = x + 2 and CBD = 37 in the inequality expression ∠ABC < ∠CBD
So, we have:
x + 2 < 37
Subtract 2 from both sides of the inequality
x + 2 - 2 < 37 - 2
Evaluate the differences
x < 35
From the question, we have the following incomplete inequality
-2 < x < [ ]
Complete the inequality as follows:
-2 < x < 35
Hence, the complete inequality is -2 < x < 35
Read more about angles at:
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