Answer:
m∠A = 50°
m∠B = 70°
m∠C = 60°
Step-by-step explanation:
Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°
In a Triangle, the sum of the interior angles of a triangle = 180°
Step 1
We solve for x
Hence:
m∠A + m∠B + m∠C= 180°
(x-10)°+ (2x-50)°+ x° = 180°
x - 10 + 2x - 50 + x = 180°
4x - 60 = 180°
4x = 180° + 60°
4x = 240°
x = 240°/4
x = 60°
Step 2
Solving for each measure
x = 60°
m∠A=(x-10)°
= 60° - 10°
= 50°
m∠B=(2x-50)°
= 2(60)° - 50°
= 120° - 50°
= 70°
m∠C=x°
= 60°
Answer: radius = 19.99 centimeters
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 22/7
From the information given,
Volume = 16328 cubic centimeters
Height = 13 centimeters
Therefore,
16328 = 22/7 × r² × 13
16328 = 40.857r²
Dividing the left hand side and the right hand side of the equation by 40.857, it becomes
r² = 16328/40.857 = 399.6378
Taking square root of the left hand side and the right hand side of the equation, it becomes
r = 19.99 centimeters
Answer:
Step-by-step explanation:
ppleasepplease share the answers when got them
Answer: 9 students
Step-by-step explanation:
10 X 3 = 30
3 X 3 = 9 students
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Answer:
b = √32
Step-by-step explanation:
The Pythagorean theorem tells you the relation between the side lengths is ...
2² + b² = 6²
b² = 36 -4 = 32
b = √32
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<em>Additional comment</em>
This radical can be simplified by removing a square from under the radical.