Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
7/3 + 3/4
28/12 + 9/12+ 37/12= 3 1/12
FInal answer is 3 1/12
Answer:
The shape is the same
Step-by-step explanation:
we know that
A dilation is a non rigid transformation, that change the size but not the shape of the original figure
so
If the dilation scale factor is 4, the figure size increases by 4, but the shape remains the same
