Answer:
12
Step-by-step explanation:
Cost of installation fee is $120.
Step-by-step explanation:
Let,
Monthly fee = x
Installation fee = y
According to given statement;
6x+y=594 Eqn 1
11x+y=989 Eqn 2
Subtracting Eqn 1 from Eqn 2
Putting x=79 in Eqn 1
Cost of installation fee is $120.
Keywords: Linear equations, subtraction
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Answer:
If the interior angle is 168, then the exterior angle is 180 - 168, or 12. The 360 degrees is evenly distributed over all of the angles, so 360/12 = 30 sides. The formula for the sum of the angles in an n-sided polygon (in degrees) is 180(n-2).
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Answer:
x is vertical *laying down* y in upward also (x,y) so ifthe first on would be anywhere on the y axis
The measures of two complementary angles are 64 degrees and 26 degrees
<h3><u>Solution:</u></h3>
Let the larger angle be "a" and smaller angle be "b"
<em>Two angles are Complementary when they add up to 90 degrees</em>
so we get,
a + b = 90 ------ eqn 1
Given that measure of the larger angle is 12 more than twice the measure of the smaller angle
larger angle = 12 + 2(smaller angle)
a = 12 + 2b --- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to get values of "a" and "b"</u></em>
Substitute eqn 2 in eqn 1
12 + 2b + b = 90
12 + 3b = 90
3b = 90 - 12
3b = 78
<h3>b = 26</h3>
Therefore from eqn 2,
a = 12 + 2b
a = 12 + 2(26)
a = 12 + 52
<h3>a = 64</h3>
Thus the measures of two complementary angles are 64 degrees and 26 degrees
