Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.
Answer:
Not a solution
Step-by-step explanation:
In order for
to be a solution, the result after substituting must be 0:




Therefore,
is not a solution to 
Answer:
median=mode
Step-by-step explanation:
Answer:


Step-by-step explanation:
<u>Trigonometric Ratios
</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.
Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:


Solving for y:

Since:


Simplifying:

Now we use the sine ratio:


Solving for x:

Since:


Simplifying:

The choices are not clear, but it seems like the correct answer is C.


Answer:
x = 19
z = 64
Step-by-step explanation:
Angles (11x - 93)° and 116° are vertical angles, so their measures are equal.
11x - 93 = 116
11x = 209
x = 19
Angles z° and 116° are a linear pair, so they are supplementary, and their measures have a sum of 180°
z + 116 = 180
z = 64