Answer:
11. x = 5
12. x = 24
Step-by-step explanation:
11.
8x° + 140° = 180°
(Linear pair angles)
8x° = 180° - 140°
8x° = 40°
x ° = 40°/8
x° = 5°
x = 5
12.
2x° + 42° = 90°
(complementary angles)
2x° = 90° - 42°
2x° = 48°
x ° = 48°/2
x° = 24°
x = 24
Answer: A
Explanation: my brain
Answer:
217.5 liters
Step-by-step explanation:
15 x 6.5 = 97.5. 97.5 + 120 = 217.5 liters
Answer:
A= 57° , a= 7.79 and c = 14.30
Step-by-step explanation:
In a given right triangle,
We have, b =12 ,B =33° and C =90°
We can find Angle A.
Angle sum property of triangle:
i.e A + B + C = 180°
A + 33° + 90° = 180°
A = 57°
Next, by using trigonometry
tanB = Perpendicular /Base = a /b
Here B =33° , a = ? , b = 12
So, tan 33° = a/12
0.6494 = a/12
a = 7.79
So we got a and b. By using Pythagoras theorem we determine c.
c^2 = a^2 + b^2
c^2 = 7.79^2 + 12^2
c = √(2046841) = 14.30