Answer: -1.5
Step-by-step explanation:
The x coordinates are 3 and -5. They add to 3+(-5) = -2
Cut this in half to get -2/2 = -1
The x coordinate of the midpoint is x = -1
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The y coordinates are 2 and 5. They add to 2+5 = 7.
Then we cut this in half to get 7/2 = 3.5
The y coordinate of the midpoint is y = 3.5
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Overall, the midpoint is (-1, 3.5)
<h3>Answer: (-1, 3.5) which is the same as (-1, 7/2)</h3>
Answer:
Part I : 100°
Part II : a = 29.2
Part III : b = 20.95
Step-by-step explanation:
See the attached diagram of the triangle.
Part I: ∠ A = 180° - ∠ B - ∠ C = 180° - 45° - 35° = 100°
Part II: Now, applying the law of sines, we have
⇒
⇒
⇒ a = 29.2 (Answer)
Part III: Now, applying law of cosine, we have
b = a cos 35° + c cos 100° = 29.2 cos 35° + 17 cos 100° = 20.95 (Answer)
The common denominator is 12. 2/3 x 4/4 = 8/12, 1/2 x 6/6 = 6/12, and 5/12 already goes into the denominator 12, so you would not need to change anything.
Since 5/12 is the lowest of the group it's the last, 8/12 is the biggest, so it's first and 6/12 is in the middle.
Your answer from least to greatest is 5/12, 6/12, and 8/12