It is proved in the answer that an exterior angle of the triangle equals the sum of two opposite interior angles.
<h3>
What is the exterior angle property of a triangle?</h3>
If a triangle's side is created, the outside angle that results is equal to the product of the two opposite internal angles.
In the figure given below we can see:
∠BCD is the exterior angle of the triangle
∠ABC + ∠BAC + ∠BCA = 180° (Angle sum property of a triangle)
∠BCA + ∠BCD = 180°(Linear pair)
From both equations we can say that:
∠ABC + ∠BAC + ∠BCA = ∠BCA + ∠BCD
∠ABC + ∠BAC = ∠BCD
Hence Proved
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I saw the image that should have accompanied this problem.
V (-3,-2)
W( 4, 6)
I studied the graph and I can form a right triangle with VW as the hypotenuse.
long leg = 8 units ; short leg = 7 units
Pythagorean theorem
a² + b² = c²
8² + 7² = c²
64 + 49 = c²
113 = c²
√113 = √c²
10.63 = c
the length of stack VW with bar on top is 10.63
Answer:
4.25 hours
Step-by-step explanation:
Given that :
Game broadcast time = 2 5/6 hours = 17/6 hours
Commercials time = 2/3 hours
2/3 hours of commercials = 17/6 of game broadcast
1 hour of commercials = x hours of game broadcast
Cross multiply ;
(2/3)x = 17/6
2x * 6 = 17 * 3
12x = 51
x = 51 / 12
x = 4.25
For every hour it shows commercials, game is broadcasted for 4.25 hours
Answer:
48
Step-by-step explanation: