Kunicki uses a medium and a large measuring cup to measure the ingredients to make his famous Buttery Oatmeal Raisin Cookies. He wants to know how many ounces of liquid each measuring cup can hold. He first filled a 80 ounce mixing bowl with 8 large cups and 4 medium cups of liquid. 4 large cups and 12 medium cups of liquid. How many ounces each cup holds?

L = 16oz

M = 12oz

S = 8oz

Step-by-step explanation:

8 large equal to 128oz ( 8 x 16 = 128 )

4 medium equal to 48oz ( 4 x 12 = 48

4 large equal to 64oz ( 4 x 16 = 64

12 medium equal to 144oz ( 12 x 12 = 144 )

Total of oz equal 384oz

384 - 80 = 304/80 = 3.8

3 more bowl of 80oz and 5 Mcup and 1/2 Scup

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°