Angela shared a cab with her friends. when they arrived at their destination, they evenly divided the $48 fare among the j of them. angela also paid a $5 tip. how much did she pay in total. write your answer as an expression.

The total amount Angela paying for the cab is in the form of expression .

Given that ,

Total fare of the cab = $48.

Total fare divided between friends is = j

Tip of the fare = $5

We have to find ,

How much amount did she pay in total.

According to the question,

Total amount she pay = Total fare of the cab ÷ Total fare divided between friends + Fare tip.

Total amount she pay =

Hence, The required amount Angela pay for the cab is in the form of expression .

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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°

triangle and cube

step-by-step explanation: