Given:
m∠DAE = 30°
m∠CBE = 20°
To find:
The value of x.
Solution:
In rectangle, all angles are right angle.
m∠A = m∠B = m∠C = m∠D = 90°
m∠EDA + m∠EAB = 90°
30° + m∠EAB = 90°
m∠EAB = 90° - 30°
m∠EAB = 60°
Similarly, m∠CBE + m∠EBA = 90°
20° + m∠EBA = 90°
m∠EBA = 90° - 20°
m∠EBA = 70°
In triangle AEB,
Sum of all angles in a triangle = 180°
m∠EAB + m∠AEB +m∠EBA = 180°
60° + x° + 70° = 180°
130° + x° = 180°
Subtract 130° from both sides, we get
x° = 50°
x = 50
The value of x is 50.
Answer:
120
Step-by-step explanation:
87.5% of what number is 105?
87.5%=0.875
105/0.875=120
Answer: YOU TUTOR 9 HOURS
Step-by-step explanation: EACH BOX REPRESENTS 3 HOURS I THINK, SO YOU TUTOR NINE HOURS AND YOUR FRIEND TUTORS 3 HOURS.
3X3=9
1X3=3
Let x = your number.
6x = x^2 - 27. Subtract 6x from each side.
0 = x^2 - 6x - 27. Factor
0 = (x-9) (x+3). Set each term equal to zero
(x+3) = 0. Subtract 3 from each side.
x = -3. This is the negative solution.
(x-9) = 0. Add 9 to each side.
x = 9. This is the positive solution.
Answer:
0.3
Step-by-step explanation: