Teresa is going with her family to watch professional barrel racers. Her family

buys 6 tickets. They have a coupon for

$1.50 off each ticket. They pay $52.50

altogether for their tickets. Write an

equation that you could use to represent

the situation. What is the price of a ticket

before using the coupon?

6 * (x - 1.50) = 52.50 ; 10.25

Step-by-step explanation:

Given that :

Number of tickets purchased = 6

Coupon off per ticket = 1.50

Total Amount paid for tickets = $52.50

Let x = initial price of ticket :

Number of tickets purchased * (Initial ticket price - coupon) = total amount paid

6 * (x - 1.50) = 52.50

6x - 9 = 52.50

6x = 52.50 + 9

6x = 61.50

x = 61.50 / 6

x = 10.25

Hence, initial price of ticket = $10.25

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°

answer: you need to organize this better it does not make sense.

step-by-step explanation: ?