If “a” represents a number on the real number line and the result of “a + b” is located to the left of a then which of the following must be true about the value of “b”?

(1) b is positive
(2) b is negative
(3) b is zero
(4) b is less than a

(2) b is negative

Step-by-step explanation:

If b is negative then the result of a + b would actually be a - b, which is located to the left of a. For answer 1, the number would be located on the right and for 3 the answer would be in the same place. Finally, for answer 4, the number would still be located to the right of a, just a smaller distance than a away.

`1234567890-=/*-qwertyuiop[]asdfghjkl; '\\zxcvbnm,./+ /

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.