Given: AB II DC and mZ2 = m24
Prove: AD | BC
Reasons
given
Statements
1. AB DC
2. m 22=m24
3. 21 and 24 are supplements
5. mZ1+mZ2= 180°
6. 21 and 2 are supplements
7. AD BC
2. given
3. same side interior angles thm
4. def. of supplementary angles
5. substitution
6. def. of supplementary angles
converse same side interior angles thm.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!