Answer: (D) No. The corresponding pairs of sides must also be marked congruent to determine that the triangles are congruent.
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Explanation:
The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.
Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.
The list of congruent theorems is
- SSS
- ASA
- AAS (or SAA)
- SAS
- HL
- LL
Much of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.
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So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.
The formula of the area of a triangle:

b - the bash - the height
We have:
b - the base3b - the height486 - the area
Substitute:
Answer: The length of the height is equal 54 units.
You have to break up 384 into numbers that can be taken out to the radical.
You can break up 384 into 2^3*2^3*6.
Since two 2’s can be taken you would have 4 on the outside and a 6 and x^4 left on the inside.
x^3 can be taken out, leaving an x inside the radical.
The final answer would be 4x on the outside and 6x left under the cubed radical
Density = mass / volume
Density = 4,830 / 0.25
Density = 19,320 kg/m