What is the reason for each proof?
given: 3x - 4 = 2(x + 8), prove: x = 20
(1) 3x - 4 = 2(x + 8)
(2) 3x - 4 = 2x + 16
(3) 3x = 2x + 20

Step-by-step explanation:

We have given the expression:

3x - 4 = 2(x + 8)

Now multiply the R.H.S

3x-4 = 2x+16 (Distributive property)

Add 4 to both sides:

3x-4+4=2x+16+4

3x = 2x+20 (Addition property of equality)

Subtract 2x from both sides:

3x-2x = 2x-2x+20

x=20 (Subtraction property of equality)

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

mark brainliest.