A high school band rasied 1,000 in a fundraiser. They need to buy an outdoor speaker for their practice

A. The unknown is the folders. Variable 'X' represents how many folders the band can buy

B. 11x + 200 = 1000

         -200     -200

11x = 800

x = 72.72 so the band can buy 72.

C. The band can purchase 72 folders. The number is not the same because my answer to 'B' isn't a whole number, because of that and to not overspend I had to go with 72.

I hope this helps!

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°

step-by-step explanation: