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Aliun [14]
3 years ago
10

How many triangles can you make with two side lengths of 6 inches that meet at a 50 degree angle.

Mathematics
2 answers:
Sonbull [250]3 years ago
5 0
<h3>Answer: Exactly One Triangle</h3>

======================================================

Explanation:

Recall that by the SAS (side angle side) congruence theorem, if we know that two pairs of sides are the same length and the angles between them are also congruent, then we can conclude the triangles are congruent. This further means that we can only construct exactly one triangle with two side lengths of 6 inches, and they form a 50 degree angle between them. Applying transformations such as rotations, translations, or reflections will not change the triangle.

Side note: This triangle is isosceles because two sides are the same length. It is not equilateral because we would need to have all three angles to be 60 degrees.

kirza4 [7]3 years ago
5 0

Answer:

One triangle only

Step-by-step explanation:

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3. The correct answer is 2) 3m² - 6. 
(2m² + 3m - 4) + (m² - 3m - 2)   Given
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3m + (-3m)   These numbers are like terms, because they both end in m. -3m is negative because it was being subtracted.
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5. This one is a bit unclear, but I think that the correct answer is 2) II and IV. The slope formula can be written as y = mx + b, where m is the slope and b is the y-intercept, or the place where the line crosses the y-axis. In this equation, b is 2, which is a positive number, so the y-intercept shifts upward. This means that the answer is either 2 or 3. As for |x - 6|, the way this is written makes the equation somewhat confusing. I believe that the bars are meant as absolute value bars, which, put simply, turn negatives into positives. This means that this part is x + 6, so the line shifts to the right. However, if they were intended as parentheses, the line would shift to the left, because we're subtracting 6 from x. I'm almost certain those were intended as absolute value bars, though, so I think that the answer is 2.

Hope this helps!
4 0
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