Answer:
The point at (-7, -5) = a
The point at (9, 3) = b
The point at (-3, 7) = c
The "a" point of the triangle is 12 units away from the center point.
So, 12 x 1/4
=> 12/4
=> 3
So, the "a" point of the dilated figure is 3 units left from the center.
=> So, the dilated "a" point is at (2, -5)
The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.
=> 8/4 = 2
So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.
=> So, the dilated "b" point is at (6, -3)
The "c" point is 12/8 units away from the center point.
=> 12/8 x 1/4
=> 3/2
So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.
=> So, the dilated "c" point is at (3, -2)
Answer:
.
Step-by-step explanation:
Two angles are supplements of one another if their sum is 
.
Two angles are complements of one another if their sum is 
.
Let 
be the measure of the angle in question.
The supplement of this angle would be 
.
The complement of this angle would be 
.
According to the question:
.
Solve this equation for 
:
.
Thus, this angle would measure should .
The supplement of this angle would measure 
. The complement of this angle would measure 
.
Three times the complement of this angle would be 
, which is indeed 
greater than the supplement of this angle.
Answer:
∠FJG= 135
Step-by-step explanation:
∠FJG + ∠GJH = 168 so
(6x - 15) + (x + 8) = 168
7x - 7 = 168
7x = 175
x = 25
plug it in ∠FJG
6(25) - 15 = 135
Answer:
4 to the power of three
Step-by-step explanation:
