The value of x in given angles is 36°
<h3>What are supplementary angles?</h3>
When the sum of two angles is 180°, then they are said to be supplements of each other.
Given are two angles which are supplements of each other,
Then according to definition of supplementary angles,
m∠A+m∠B = 180°
(2x − 27)°+(3x + 27)° = 180°
2x+3x = 180°
5x = 180°
x = 180°/5
x = 36°
Hence, The value of x in given angles is 36°
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You can tell if you make the denominators the same easiest one is 30 for 6 and 5
1/5=6/30
1/6=5/30
now you can see which is bigger
First, rewrite the equation so that <em>y</em> is a function of <em>x</em> :

(If you were to plot the actual curve, you would have both
and
, but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)
The arc length is then given by the definite integral,

We have

Then in the integral,

Substitute

This transforms the integral to

and computing it is trivial:

We can simplify this further to

44.
1. Given
2. Vertical angles are congruent
3. angle 1 congruent to angle 5
4. Def congruence
Answer:
4 + 2i
Step-by-step explanation:
First distribute;
7 - 3 - 4i + 6i
= 4 + 2i