Answer:
8
Step-by-step explanation:
The sum of the internal angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5, hence
sum = 180° × 3 = 540°
Each exterior angle plus interior angle = 180°
Subtract each exterior angle from 180 for corresponding interior angle.
180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118
Sum the 4 interior angles and subtract from 540 for 5 th interior angle
5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°
The 5 th interior angle and 12x sum to 180 ( same reason as above )
Hence
12x + 84 = 180 ( subtract 84 from both sides )
12x = 96 ( divide both sides by 12 )
x = 8
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In a rectangular form of a complex number, where a + bi, a and b equates to the location of the x and y respectively in a complex plane. The modulus |z| is the term used to describe the distance of a complex number from the origin. Hence, |z| = √(a²+b²)
Answer:
x = 24.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 15 = x/90
90 tan 15 =x
x=24.11542
To the nearest tenth
x = 24.1
Answer:
He could have asked the girls as well, and could have asked the entire class instead of just 10 students.
Step-by-step explanation:
By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.
The angles of a parallelogram add up to 360°
and the opposite angles are equal
so you make the equation: 150+150+5x+5x=360
you solve for x
10x=60
x=6
