Answer:
A = 58 degrees
b = 51.9
c = 48.5
Step-by-step explanation:
To find A we simply just need to remember that all triangles add up to 180 degrees and we are already given two angles of the triangle so....
![57 + 65=122](https://tex.z-dn.net/?f=57%20%2B%2065%3D122)
![122+58=180](https://tex.z-dn.net/?f=122%2B58%3D180)
![A=58](https://tex.z-dn.net/?f=A%3D58)
To find sides b and c we use the law of sines since we now know the angle of each side.
![a=48](https://tex.z-dn.net/?f=a%3D48)
![b=48\times\frac{sin65}{sin57} =51.87](https://tex.z-dn.net/?f=b%3D48%5Ctimes%5Cfrac%7Bsin65%7D%7Bsin57%7D%20%3D51.87)
![51.87](https://tex.z-dn.net/?f=51.87)
![7>5](https://tex.z-dn.net/?f=7%3E5)
![51.9](https://tex.z-dn.net/?f=51.9)
![b=51.9](https://tex.z-dn.net/?f=b%3D51.9)
![c=48\times\frac{sin58}{sin57} =48.54](https://tex.z-dn.net/?f=c%3D48%5Ctimes%5Cfrac%7Bsin58%7D%7Bsin57%7D%20%3D48.54)
![48.54](https://tex.z-dn.net/?f=48.54)
![4](https://tex.z-dn.net/?f=4%3C5)
![c=48.5](https://tex.z-dn.net/?f=c%3D48.5)
Hope this helps.
Step-by-step explanation:
On each side of this quadrilateral, you have supplementary angles, in other wourds, angles that sum up to <em>one hundred eighty degrees</em>:
![\displaystyle 180° = [3y + 14]° + [10y - 29]° \\ 180° = [-15 + 13y]° \\ \frac{195}{13} = \frac{13y}{13} \\ \\ 15 = y; 59° = [3(15) + 14]° \\ \\ \\ \\ 180° = [5x - 2]° + [x + 14]° \\ 180° = [12 + 6x]° \\ \frac{168}{6} = \frac{6x}{6} \\ \\ 28 = x; 138° = [5(28) - 2]°](https://tex.z-dn.net/?f=%5Cdisplaystyle%20180%C2%B0%20%3D%20%5B3y%20%2B%2014%5D%C2%B0%20%2B%20%5B10y%20-%2029%5D%C2%B0%20%5C%5C%20180%C2%B0%20%3D%20%5B-15%20%2B%2013y%5D%C2%B0%20%5C%5C%20%5Cfrac%7B195%7D%7B13%7D%20%3D%20%5Cfrac%7B13y%7D%7B13%7D%20%5C%5C%20%5C%5C%2015%20%3D%20y%3B%2059%C2%B0%20%3D%20%5B3%2815%29%20%2B%2014%5D%C2%B0%20%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20180%C2%B0%20%3D%20%5B5x%20-%202%5D%C2%B0%20%2B%20%5Bx%20%2B%2014%5D%C2%B0%20%5C%5C%20180%C2%B0%20%3D%20%5B12%20%2B%206x%5D%C2%B0%20%5C%5C%20%5Cfrac%7B168%7D%7B6%7D%20%3D%20%5Cfrac%7B6x%7D%7B6%7D%20%5C%5C%20%5C%5C%2028%20%3D%20x%3B%20138%C2%B0%20%3D%20%5B5%2828%29%20-%202%5D%C2%B0)
I am joyous to assist you at any time.
Answer:
L ≅ P
Step-by-step explanation:
To prove congruence through ASA, we need the measures of two angles that are adjacent to a given side. If we are given that two angles are congruent to other angles in another triangle respectively and both of those angles are adjacent to one side (in which each side of each triangle is congruent) then the triangles are congruent through ASA.
Answer:
x+y+3 or 1x+1y+3
Step-by-step explanation:
3/4x+1/4x+1y+3
3/4x+1/4x=1x
1x+1y+3
You can't do x+y+3 so it stays x+y+3. Hope this helps.
Answer:
Step-by-step explanation:
![-\frac{2}{9}m + 12 = -8](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B9%7Dm%20%2B%2012%20%3D%20-8)
Multiply both side by 9
-2x + 108 = -72
-2x = -72 - 108
-2x = -180
x = 90