3 years ago

The sum of a negative number, q, and a positive integer, n, is negative. What do you know about q and n?

1 answer:

3 0

| q | > n

1. q + n < 0
2. q + n - n < 0 - n
3. q < -n, where q is negative, and n is positive. Therefore, | q | > n.

Well, think about it. If q + n is less than zero (negative), what kind of relationship can you assume about q and n?

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Step-by-step explanation:

$\angle AOB$ and $\angle BOC$ are linear pair angles.

$\therefore m\angle AOB + m\angle BOC = 180° \\ \therefore \: 3x + 124 \degree + 6x + 29 \degree = 180° \\ \therefore \: 9x + 153 \degree = 180° \\ \therefore \: 9x = 180° - 153 \degree \\ \therefore \: 9x = 27 \degree \\ \therefore \:x = \frac{27 \degree }{9} \\ \huge \pink{ \boxed{\therefore \:x =3 \degree }} \\ \\ \because \: m\angle BOC =6x + 29 \degree \\ \therefore \: m\angle BOC =6 \times3 \degree + 29 \degree \\ \therefore \: m\angle BOC = 18\degree + 29 \degree \\ \\ \huge \red{ \boxed{\therefore \: m\angle BOC = 47 \degree }}$