Cantaloupes, watermelons, and honeydews are all types of melon. Carrie has $11$ cantaloupes. Karen has $2$ times as many cantaloupes as Carrie has. Sam has $3$ times as many watermelons as Karen has cantaloupes. Finally, Bobby has $5$ times as many honeydews as Sam has watermelons. How many melons does the group have total?

418

Step-by-step explanation:

-karens cantaloupes are Carrie's amount ×2, therefore: 11×2=22

-sams watermelons are karens amount ×3, 22×3=66

-bobbys honeydews are sams amount ×5, 66×5=330

add them all together

22+66+330= 418

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°

the answer is a.

135 and 80

step-by-step explanation: