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.
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6. When one number is a multiple of the other number, that would make the first number the LCM. For example if your first number is 14 and the second number is 2, their first common multiple would be when 2 gets to 14.
2, 4, 6, 8, 10, 12, 14.
14 would be the first time the numbers are equal
5. The first thing to do to find out if 8 is a multiple of 56 is to divide 56 by 8 and see if it comes out to a whole number. 56/8=7
Since 7 is whole, 56 would be the LCM of 56 and 8.
8, 16, 24, 32, 42, 48, 56
Answer: 38.46
Step-by-step explanation:
To solve for the time it takes to travel a certain distance at a certain speed, use the formula,
time = distance / speed
Given that the entire journey takes four hours, add up the time it takes David to row upstream with that of him travelling downstream. This is mathematically represented as,
total time = time upstream + time downstream
4 = 3/(x - 1) + 3/(x +1)
Solving for x in the equation gives 2. Thus, David's speed in still water is 2 miles per hour.
x = 0
This is because 4 x 0 = 0 and 3 x 0 = 0. That leaves us with 5, and 5 = 5. Therefore x = 0
