2 + 13x, because (19x − 6x) + 2 = 13x + 2 = 2 + 13x
Answer: 90° , 60° and 30° .
Step-by-step explanation:
Given : In a right triangle with a leg of 4 units and a hypotenuse of 8 units.
One angle should be 90°. (A right triangle has a 90° angle.)
Let the given leg is the side opposite to the angle
in the triangle.
Then by trigonometry , we have
[Sine of an angle is the ration of the side opposite to the angle and the hypotenuse of a right triangle.]
Also , 

Let x be the measure of the third angle.
BY Angle sum property of triangle , we have

Therefore , the measures of all angles in the triangle : 90° , 60° and 30° .
This system of equation has an infinite number of solutions.
You can tell this because multiplying one equation by a constant gives you exactly the other equation. You can multiply the second equation by 3.
9x - 6y = 15
5(3x - 2y = 5) = 9x - 6y = 15
When this happens, you can assume that there are an infinite number of solutions.
<h3>Solving for the measurements of Complementary Angles</h3><h3>
Answer:</h3>
and 
<h3>
Step-by-step explanation:</h3>
Recall that Angles that are complementary to each other add up to
.
Let
be the measure of the complementary angle.
If an angle is
more than its complementary angle, the measure of that angle is
. The sum of both angles are expressed
but since the have to add to
as they are complementary,
.
Solving for
:

Since the other angle measures
, we can plug in the value of
to find the measure of the angle.
Evaluating
:

The measure of the angles are
and 