Answer:
11
Step-by-step explanation:
First, we need to find the other angles. We'll do this by subtracting 180-141, giving us 39. This is one of the angles needed.
Next, we'll find the other angle by subtracting 180-127, giving us 53.
Now, we can set up the expression: 39 + 53 + 8y = 180
Adding like terms: 92 + 8y = 180
Now, subtracting 180-92 to give us 8y = 88
Diving both side by 8, gives us the value of y = 11.
. 5
-9+6=-x+4
You need to change the sign
The possible values for the third side's measurement are3 < x < 17. Any two sides of a triangle's lengths added together must be longer than the third side.
<h3>How do you determine a triangle's perimeter?</h3>
- The third side of a triangle must always have a length that is between (but not exactly) the sum and the difference of the other two sides.
- Any two sides of a triangle's lengths added together must be longer than the third side.
- Each side of a triangle with sides a, b, and c must fall within the difference and total of the other two.
- For instance, side a must be between b-c and b+c or b-cab+c.
- The third side must fall between 10 -7 = 3 and 10 + 7 = 17.
To learn more about Possible values third side of a triangle refer to:
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From the Figure :
Point A is (-3 , -3)
Point B is (6 , 6)
We know that, The Mid Point of Two Points (x₁ , y₁) and (x₂ , y₂) is given by :
![\mathsf{\implies [(\frac{x_1 + x_2}{2})\;,\;(\frac{y_1 + y_2}{2})]}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cimplies%20%5B%28%5Cfrac%7Bx_1%20%2B%20x_2%7D%7B2%7D%29%5C%3B%2C%5C%3B%28%5Cfrac%7By_1%20%2B%20y_2%7D%7B2%7D%29%5D%7D)
![\mathsf{\implies Midpoint\;of\;Line\;AB\;is\;[(\frac{-3 + 6}{2})\;,\;(\frac{-3 + 6}{2})]}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cimplies%20Midpoint%5C%3Bof%5C%3BLine%5C%3BAB%5C%3Bis%5C%3B%5B%28%5Cfrac%7B-3%20%2B%206%7D%7B2%7D%29%5C%3B%2C%5C%3B%28%5Cfrac%7B-3%20%2B%206%7D%7B2%7D%29%5D%7D)
![\mathsf{\implies Midpoint\;of\;Line\;AB\;is\;[(\frac{3}{2})\;,\;(\frac{3}{2})]}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cimplies%20Midpoint%5C%3Bof%5C%3BLine%5C%3BAB%5C%3Bis%5C%3B%5B%28%5Cfrac%7B3%7D%7B2%7D%29%5C%3B%2C%5C%3B%28%5Cfrac%7B3%7D%7B2%7D%29%5D%7D)
