Answer:
k=-2
Step-by-step explanation:
11k - 16 - 2k = 17k
11k- 2k -17k=16
-8k=16
k=16/-8
k=-2
hope it helps u
Triangles FGH and ABC are congruent because of the: AAS congruence theorem.
<h3>What is the AAS Congruence Theorem?</h3>
The AAS congruence theorem states that when two angles and one non-included side in one triangle are congruent to corresponding two angles and one non-included side in another triangle, then both triangles are congruent.
In the proof given, it is established that both triangles have two corresponding congruent angles, and also, BC ≅ GH which are non-included sides.
Therefore, both triangles are congruent because of the AAS congruence theorem.
Learn more about the AAS congruence theorem on:
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Answer:
56 games
Step-by-step explanation:
1 game in 15 minutes, 4x15=60 minutes (an hour)
so, u get 4 games in one hour. now multiply 4 games by 14 hours to get 56
Answer:
150
Step-by-step explanation:
First a diagram which looks like a 12 sided figure where all the sides are equal.
Now draw 2 consecutive radii.
There are 12 such triangles in a 12 sided polygon.
These triangles have an apex angle of 360 / 12 = 30 degrees.
The other two angles making up the triangle are both equal. Therefore x + x + 30 = 180
2x = 150
x = 75
But 75 is 1/2 of the interior angle. There are 2 such angles making up the interior angle 75 + 75 = 150