During the first hour of a snowstorm, 1 and 1/2 inches of snow fell. in the next hour, 4 and 3/8 inches fell. in the third hour, the snow stopped and 7/8 of an inch of snow melted. how much snow was on the ground at the end of the third hour?

After 3 hours amount of snow on the ground will be 5 inches.

Step-by-step explanation:

In the first hour of a snowstorm, amount of snow fell = inches

≈ inches

In the next hour, amount of snow fell = inches

≈ inches

In the third hour, snow stopped and melted = inches

Total amount of snow on the ground after three hours

=

=

=

= 5 inches

After 3 hours amount of snow on the ground will be 5 inches.

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°

sine

step-by-step explanation: