Penny is planning a trip to egypt. she has mapped out the expected costs of some different components of her trip, and has compiled them below, including whether the cost is in us dollars ($) or egyptian pounds (£). item cost currency plane ticket 3,241.77 £ passport 65.00 $ tour guide 494.25 £ international phone card 41.38 $ hotel reservation 398.26 £ car rental 644.48 £ if the exchange rate of the us dollar to egyptian pound is 1: 5.3841, how much has penny currently budgeted for her trip, in us dollars? round all currencies to two decimal places.

Answer: $993.95

Step-by-step explanation:

Given: Exchange rate of the US dollar to Egyptian pound is 1:5.3841

Item Cost Currency Plane ticket =

Passport =  $65.00

Tour guide =

International phone card = $41.38

Hotel reservation =

Car rental =

Therefore, the total budgeted for her trip, in US dollars=

2.   2 3/5.

3.   2 1/2.

step-by-step explanation:

6 - 3 2/5

= 6 -   17/5

= 30/5 - 17/5

= 13/5

= 2 3/5 (answer).

5 1/4 - 2 3/4

= 21/4 - 11/4

= 10/4

= 2 1/2 (answer).

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°