The angles of a triangle all add up to 180°. In fact, it can be generalized that the sum of the interior angles of an n-sided polygon is equal to 180°(n–2).
A right triangle must have a right angle, which is equal to 90°. If the other angle is 42°, that means that we can find the third angle by subtracting 90° + 42° from 180°.
x = 180° – (90° + 42°) = 48°
Answer: THE GRAPH IS ATTACHED.
Step-by-step explanation:
We know that the lines are:
Solving for "y" from the first line, we get:
In order to graph them, we can find the x-intercepts and the y-intercepts.
For the line the x-intercepts is:
And the y-intercept is:
For the line the x-intercepts is:
And the y-intercept is:
Now we can graph both lines, as you can observe in the image attached (The symbols and indicates that the lines must be dashed).
By definition, the solution is the intersection region of all the solutions in the system of inequalities.
Answer:
Step-by-step explanation:
How can you remember the formula?
Well, it helps to know it's the Pythagoras Theorem with something extra so it works for all triangles:
Pythagoras Theorem:
(only for Right-Angled Triangles) a2 + b2 = c2
Law of Cosines:
(for all triangles) a2 + b2 − 2ab cos(C) = c2
So, to remember it:
think "abc": a2 + b2 = c2,
then a 2nd "abc": 2ab cos(C),
and put them together: a2 + b2 − 2ab cos(C) = c2
Answer:
b
Step-by-step explanation:
i just did it