Gloria subscribes to the Webtime Internet Service. Webtime charges a $9.99 monthly service fee plus $1.50 per hour for Internet access. Last month's bill was $ 36.99. How many hours did Gloria use the Internet last month?

18 hours

Step-by-step explanation:

Let the number of hours used to represented by x

Gloria subscribes to the Webtime Internet Service. Webtime charges a $9.99 monthly service fee plus $1.50 per hour for Internet access.

Total bill = $9.99 + $1.50 × x

= 9.99 + 1.5x

Last month's bill was $ 36.99.

Hence,

9.99 + 1.5x = 36.99

Collect like terms

1.5x = 36.99 - 9.99

1.5x = 27

x = 27/1.5

x = 18 hours

The number of hours that Gloria used the Internet last month is 18 hours

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°