In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .
First we have to find the relationship between those two angles .
And these angles are vertical opposite angles which are congruent .
Therefore
![m \angle USW = m \angle TSR](https://tex.z-dn.net/?f=m%20%5Cangle%20USW%20%3D%20m%20%5Cangle%20TSR)
![7x-34 = 4x+9 \\ 3x = 43 \\ x = 14.33](https://tex.z-dn.net/?f=7x-34%20%3D%204x%2B9%0A%5C%5C%0A3x%20%3D%2043%0A%5C%5C%0Ax%20%3D%2014.33)
Therefore measurement of angle USW is
![=7(14.33)-34 =66.31 degree](https://tex.z-dn.net/?f=%3D7%2814.33%29-34%20%3D66.31%20degree)
Answer:
- x = 37
- DG = 22
- AG = 44
- AD = 66
Step-by-step explanation:
We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...
(x+7) = 2(x -15)
x + 7 = 2x - 30 . . . . eliminate parentheses
37 = x . . . . . . . . . . .add 30-x
Then AG = 37+7 = 44
and DG = 37-15 = 22.
Of course, AD = AG +GD = 44 +22 = 66
√x + 11=15 x=16
√x= 15-11 x=16
The first one is a hexagon because it has 6 sides. The second figure is a heptagon because it has 7 sides.
I hope this helped!
:) Well, I dunno about anyone else but this question makes my head spin!