) A dance team is going to spend $1,440 to purchase all sweatshirts or all jackets for the team members. Sweatshirts cost $24 each. Jackets cost $32 each. What is the greatest number of Sweatshirts or Jackets the team can purchase??

The team can purchasesweatshirts orjackets.

60 sweatshirt Or 45 jackets

Step-by-step explanation:

Total amount = $1,440

Sweatshirts = $24

Jackets = $32

What is the greatest number of sweatshirts or jackets the team can purchase?

The greatest number of sweat- shirts the team can purchase = Total amount / cost of sweatshirt

= $1,440 / $24

= 60

The greatest number of jackets the team can purchase =Total amount /cost of jackets

= $1,440 / $32

= 45

Therefore, the greatest number of sweatshirts or jackets the team can purchase is

60 sweatshirt

Or

45 jackets

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°