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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).

"if it is my birthday, then it is snowing"

47

step-by-step explanation: