Solve for z.
|z| + 13 = 11
A. null set
B. z = –2
C. z = 24
D. z = –2 or 2

[A] Null Set

Explanation:

Subtract 13 From Both Sides

|z| + 13 - 13 = 11 - 13

Simplify

z = -2

Absolute Value Cannot Be Less Than 0, Therefore There Is So Solution

[A] Null Set

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

  answer:

  write 548 as 500 + 40 + 8. multiply each addend by 5. then add the three products to get 2,740.