Arestaurant charged one customer $28.20 for 3 small dishes and 5 large dishes and charged another customer $23.30 for 4 small dishes and 3 small dishes. what will 2 small and 4 large dishes cost?

Let s and l be the price of small and large dishes. The first equation is

While the second equation is

(I assume that you meant "4 small dishes and 3 large dishes")

If we multiply the first equation by 4 and the second by 3 we have

Subtract the two equation and you have

Substitute this value in one of the equation to derive

So, one small dish costs 2.9 and one large dish costs 3.9. This means that 2 small and 4 large dishes cost

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°