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°.
120 groups <span>(10*9*8/3*2*1=120) </span>of 3 (k) operators are possible to make from the 10 (n) qualified employees. This problem can be solved using the combination formula in mathematics which is to find the possible number of combination (group of operator) from a set of choices. (Formula : n*(n-1)*...* (n-k+1)/ k!).
The angle x is half the sum of the intercepted arcs, PQ and NO.
... (1/2)(65° + 45°) = 55° = x° = m∠PMQ
Its simple take out the y and take out the x, you get 25=6!!!!!!!