Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Which inequality can you use to find the number of cups of yogurt Monica can buy?

$2.50 + $1.20x $20

Step-by-step explanation:

Monica needs to buy a gallon of milk ($2.50), but she also wants to buy yogurt which is $1.20 each. However, her total cost has to be under $20, and she doesn't know how much yogurt she can get. So the number of cups of yogurt is unknown, so it is represented by the variable x. Now, the milk and the unknown number of cups of yogurt must be less than or equal to $20.

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°