Let's build the equation counting how many x's and 1's are there on each side.
On the left hand side we have 5x's and 8 1's, for a total of
On the left hand side we have 3x's and 10 1's, for a total of
So, the equation we want to solve is
Subtract 3x from both sides:
Subtract 8 from both sides:
Divide both sides by 2:
Given:
The right triangle with base 15 and hypotenuse x.
The measure of angle between base and hypotenuse is 28 degrees.
To find:
The value of x.
Solution:
In a right angle triangle,
In the given triangle,
Round the value to the nearest tenth.
Therefore, the value of x is 17.0 units.
When you see the symbol "△", this denotes a triangle. Now combine the symbol with the letters FGH, this becomes △FGH, meaning a triangle FGH, with F, G, and H as the three points.
Now, the symbol "∠" means angle and "m∠" means the measure of an angle. So m∠F means the angle at the point F, m∠G means the angle at the point G, and m∠H means the angle at the point H. (I'll attach a diagram of this triangle).
Now we have to determine m∠H, which is the angle at point H. To do that, we have to find the value of . To do that, we have to use one of the laws of a triangle, which is:
The sum of angles in a triangle = 180°. This means when we add all the angles in a triangle, it sums up to 180°. Let's do that.
Now that we have found the value of x as 18°, we can substitute its value to determine the angle H.
I hope you understand the explanation.