Answer:
a) 
b) 
c) 5
Step-by-step explanation:
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:
4
the fourth expression is a rational
Step-by-step explanation:
tan(Θ + 30°)
Use angle sum formula:
tan(A + B) = (tan A + tan B) / (1 − tan A tan B)
So we can write this as:
(tan Θ + tan 30°) / (1 − tan Θ tan 30°)
tan 30° = 1/√3, so:
(tan Θ + 1/√3) / (1 − 1/√3 tan Θ)
Multiply top and bottom by √3:
(√3 tan Θ + 1) / (√3 − tan Θ)