Answer:
∠DCE is congruent to ∠CBA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate.
Step-by-step explanation:
The fourth choice. For example, (x+2)(x-2)>0 we'll get x>2 or x<-2 because whenever you substitute x>2 for example x = 3, the value will be higher than 0 itself.
If we substitute x = 3 (for x>2)
We'll get (3+2)(3-2)>0
5(1)>0
5>0 The statement is true.
If we substitute x = -3 (for x<-2)
We'll get (-3+2)(-3-2)>0
-1(-5)>0
5>0 The statement is true.
We don't say x>2 AND x<-2, In math, we only say x>2 OR x<-2
D'=(-4,2)
E'=(-1,1)
F'=(1,5)
Hope it heled.
Please note this rotation just allows you to turn (x,y) to (y,x)
Here are the rotation rules: 90° clockwise rotation: (x,y) becomes (y,-x) 90° counterclockwise rotation: (x,y) becomes (-y,x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
First you distribute making it 4y-24=0
second you isolate the variable making it 4y=24
finally you divide by four giving you the answer of y=6
