2. The number of cookies Margie can make varies directly with the amount of time she spends making the cookies.
If she can make 24 cookies in 1.5 hours, how many cookies can she make in 5 hours?

80

Step-by-step explanation:

To solve this,we will use the formula for direct proportion which is:

y = kx

where k = number of cookies made = 24

x = time taken = 1.5 hours

Since y = kx

24 = 1.5k

k = 24/1.5

k = 16

Then, the amount of cookies that can she make in 5 hours will be:

y = kx

y = 16 × 5

y = 80

She can make 8 cookies in 5 hours.

idk but good luck leave i like cholo

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°