Answer:
x ≈ 54.8°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = 
= 
= 
, then
x = 
( ) ≈ 54.8° ( to the nearest tenth )
The arithmetic mean provides a single measure for a certain population, also called the average.
The sum of a set of numbers divided by the total number of numbers in the set is known as the arithmetic mean or arithmetic average in mathematics and statistics.
The ratio of the total number of observations divided by the sum of all the given observations is known as the arithmetic mean. For instance, if the data set contains 5 observations, it is possible to get the arithmetic mean by adding all 5 of the given observations and dividing by 5.
Learn more about arithmetic mean here
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Given equation: 3(x + 4) + 2 = 2 + 5(x – 4).
<em>First step is to distribute 3 on left side and 5 on right side of the equation,</em> we get
3x + 12 + 2 = 2 + 5x – 20
<em>Second step is combining like terms, 12+2=14 and 2-20=-18.</em>
We get
3x +14 = 5x -18.
<h3>Third step, we need to get rid 18 from right side and 3x from left side.</h3>
<em>Adding 18 on both sides and subtracting 3x from both sides</em>, gives
32 = 2x.
<h3>Fourth step , we need to get rid 2 from right side from 2x.</h3>
<em>We need to divide both sides by 2</em>, we get
16=x.
Go to the left two times, then go down 6 units
Since the interior angles of a triangle equal 180°, then 180-45=135.
Then you would use 135 to find the remaining two angles: b+3b=135.
4b=135.
Divide to find b. And the plug in whatever b is for the to figure out Angles B and C.
However, I believe the equation it's looking for is: 180=45+b+3b OR 45+4b=180
