Alana practiced dancing for 11 −−4 hours on monday, 19 −−8 hours on wednesday, and 2.6 hours on friday. on which day did she practice the closest to 2 hours? explain your reasoning.

Time taken to practice dance on Monday = hours

In decimals it is 1.25 hours

Time taken to practice dance on Wednesday = = or in decimal form it is 2.125 hours

Time taken to practice dance on Friday = 2.6 hours

Now comparing all the values in hours that is 1.25 , 2.125 and 2.60 ,the closest number to 2 is 2.125

1.25 is 35 minutes less than 2.

2.60 is greater far and from 2.

And 2.125 is closest to 2.

Hence, she practiced closest to 2 hours on Wednesday.

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°