It takes a hose 2 minutes to fill a rectangular aquarium 9 inches long, 12 inches wide, and 13 inches tall. How long will it take the same hose to fill an aquarium measuring 21 inches by 22 inches by 32 inches?

The volume of the first aquarium is 1404 inches = 2 minutes

14784/1404=10.5299145299

10.5299145299*2=21.0598290598

The volume of the second aquarium is 14784 inches = 21.05 minutes

5

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°