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:
x = -20
Step-by-step explanation:
Solve for x:
50 = 5 x - 8 x - 7 - 3
Grouping like terms, 5 x - 8 x - 7 - 3 = (5 x - 8 x) + (-3 - 7):
50 = (5 x - 8 x) + (-3 - 7)
5 x - 8 x = -3 x:
50 = -3 x + (-3 - 7)
-3 - 7 = -10:
50 = -10 - 3 x
50 = -3 x - 10 is equivalent to -3 x - 10 = 50:
-3 x - 10 = 50
Add 10 to both sides:
(10 - 10) - 3 x = 10 + 50
10 - 10 = 0:
-3 x = 50 + 10
50 + 10 = 60:
-3 x = 60
Divide both sides of -3 x = 60 by -3:
(-3 x)/(-3) = 60/(-3)
(-3)/(-3) = 1:
x = 60/(-3)
The gcd of 60 and -3 is 3, so 60/(-3) = (3×20)/(3 (-1)) = 3/3×20/(-1) = 20/(-1):
x = 20/(-1)
Multiply numerator and denominator of 20/(-1) by -1:
Answer: x = -20
The z-score that delineates the middle 96% of all vallues from others is obtained as follows.
Therefore, <span>the z-scores that delineate the middle 96% of all values from the others</span> is 2.05
Answer:
-8a - 7b - 7c
Step-by-step explanation:
-8a - 2b - 10c - (5b - 3c)
Negate 5b and -3c
-8a - 2b - 10c - 5b + 3c = -8a - 7b - 7c
