Acertain family plan costs $55 per month plus additional usage costs. if x is the number of cell phone minutes used above the plan amount and y is the number of megabytes of data used above the plan amount, interpret the following expressions.. a. 0.25x. b. 2y. c. 0.25x + 2y + 55. i'm not sure if i'm supposed to write the expression out verbally and that's all or do more.

Step-by-step explanation:

Given that a certain family plan costs $55 per month plus additional usage costs.

If x is the number of cell phone minutes used above the plan amount and y is the number of megabytes of data used above the plan amount, interpret the following expressions

a) 0.25x means 1/4 of the cell phone minutes used above the plan amount

b) 2y means twice the megabytes of data used above the plan amt.

c) 0.25x+2y+55 means 1/4 of the cell phone minutes used above the limit + twice the megabytes of data used above the plan + fixed cost of 55 dollars.

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°