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:
B. 
Step-by-step explanation:
The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that
is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.
∴
is the additional fact needed to prove 
Hope this helps :)
Answer:
50
Step-by-step explanation:
Use pythagoreom theorem to determine the length of the hypotenuse:
a² + b² = c²
- assign side a to 30 and side b to 40
30² + 40² = c²
90 + 160 = c²
250 = c²
Now square root both sides to isolate side c:
√250 = √c²
50 = c
side c = 50
Only 3 is needed
Step-by-step explanation: