A company uses X amount of plastic to make bags. The company decreases this amount by 40%. Which expression represents the amount of plastic used after this decrease?

The correct answer is X - 40% of X = 0.6 X, where X is the amount of plastic the company used initially.

Step-by-step explanation:

A company uses X amount of plastic to make bags.

But now the company decreases this amount by 40%.

Decrease in amount of plastic used is 40 % of X = 0.4X.

Therefore the expression that represents the amount of plastic used after this decrease is X - 40 % of X = X - 0.4X = 0.6X.

Thus after the decrease the company now uses 0.6X amount of plastic which is 40% less than the initial.

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°