Answer:
1. YZ= 41
2. x= 12
3. (12, -11)
4. (-13, -8)
Step-by-step explanation:
1. 4+3x+20= 5x+10
Step 1- Add the values
24+3x=5x+10
Step 2- Move the variable to one side
24+3x= 5x+10
-3x -3x
Step 3- Subtract to both sides
24= 2x+10
-10 -10
Step 4- Divide to both sides
14= 2x
2 2
x= 7
Step 5- Substitute the variable
3(7)+20
21+20= 41
2. 4x-1+12x-11= 180
Step 1- Add the variables and constants
16x-12= 180
Step 2- Add to both sides
16x-12= 180
+12 +12
Step 2- Divide to both sides
16x= 192
16 16
x=12
3. (14, -15)
You have to subtract 2 from 14 and add 4 to -15.
This gives you 12 and -11, which are you x,y coordinates.
4. (8, -13)
The formula for a 90 degree clockwise rotation is (y, -x).
You add that to the formula and get (-13, -8).
