Answer:
<DAB= 98
Step-by-step explanation:
Remark
I think you are supposed to assume that this is a parallelogram. In that case the two labeled angles are intended to be equal (one of the properties of a parallelogram).
Equation
2x + 36 = 3x - 5 Add 5 to both sides
2x + 36 + 5 = 3x - 5 + 5 Combine
2x + 41 = 3x Subtract 2x from both sides
2x - 2x + 41 = 3x - 2x Combine
41 = x
Answer
<DAB = 2x + 36
<DAB = 2*41 + 36
<DAB = 82 + 36
<DAB = 98
3
1
390
x 42
-------
1282
1564
----------------
the answer would be 16380
Hope this helped :)
10% of 46.80 =4.68
46.80 + 4.68 = 51.48
Hope this helps :D
The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:
![P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7B%281%2C5%29%2B%287%2C-1%29%7D%7B2%7D%3D%5Cdfrac%7B%288%2C4%29%7D%7B2%7D%3D%284%2C2%29)
Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:
![m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1](https://tex.z-dn.net/?f=m_r%3D%5Cdfrac%7B%5CDelta%20y%7D%7B%5CDelta%20x%7D%3D%5Cdfrac%7B5-%28-1%29%7D%7B1-7%7D%3D%5Cdfrac%7B6%7D%7B-6%7D%5Ciff%20m_r%3D-1)
![p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1](https://tex.z-dn.net/?f=p%5Cperp%20r%5CLongrightarrow%20m_p%5Ccdot%20m_r%3D-1%5CLongrightarrow%20m_p%5Ccdot%28-1%29%3D-1%5Ciff%20m_p%3D1)
We can calculate the equation of
p by using its slope and its point P:
Check whether it is possible to have a triangle with the given side lengths for example 7,9,13 then add any two sides and see if it is greater than the other side. Example the sum of 7 and 9 is 16 and 16 is greater than 13