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Mathematics

2 answers:

Andreas93 [3]3 years ago

6 0

<h3>Answer: q = 22</h3>

Work Shown:

The two angles shown are a linear pair. They add to 180

(7q-46)+(3q+6) = 180

10q-40 = 180

10q = 180+40

10q = 220

q = 220/10

q = 22

lisov135 [29]3 years ago

4 0

Answer:

Answer: q = 22

Work Shown:

The two angles shown are a linear pair. They add to 180

(7q-46)+(3q+6) = 180

10q-40 = 180

10q = 180+40

10q = 220

q = 220/10

q = 22

Step-by-step explanation:

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PtichkaEL [24]

Answer:

$\large\boxed{h\leq-\dfrac{19}{6}\to h\in\left(-\infty,\ -\dfrac{19}{6}\right]}$

Step-by-step explanation:

$\text{First convert the mixed numbers to the improper fractions:}\\\\10\dfrac{2}{3}=\dfrac{10\cdot3+2}{3}=\dfrac{32}{3}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{13}{3}\\\\\text{Solve the inequality}\\\\10\dfrac{2}{3}+2h\leq4\dfrac{1}{3}\\\\\dfrac{32}{3}+2h\leq\dfrac{13}{3}\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{32}{3\!\!\!\!\diagup_1}+3\cdot2h\leq3\!\!\!\!\diagup^1\cdot\dfrac{13}{3\!\!\!\!\diagup_1}\\\\32+6h\leq13\qquad\text{subtract 32 from both sides}\\\\6h\leq-19\qquad\text{divide both sides by 6}\\\\h\leq-\dfrac{19}{6}$