Cindy and Jose were in charge of selling tickets to the class play. Cindy sold 40 tickets and Jose sold 28 tickets. What is the ratio of the number of tickets Cindy sold to the total number of tickets sold?

Let a and c be adult tickets and children's tickets, respectively. Then:

8a+5c=177.50

12a+6c=255.00

24a+15c=532.50

Step-by-step explanation:24a+12c=510.00

3c=22.50

c=7.50

Then solve for a

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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°

cosine

step-by-step explanation: