A company wants to market different types of shampoo using color-coded bottles, lids, and label print. It has three different colors of lids, five different colors of bottles, and two different colors of print for the label available. How many different types of shampoo can the company package?

There are 30 different types of shampoo.

Step-by-step explanation:

Each shampoo has a color-code bottle, lid, and label print.

For bottles, there are five different colors, so there are five different possibilities.

For lids, there are three different colors, so there are three different possibilities.

And for labels, there are two different colors, so there are two different possibilities.

To find how many different types of shampoo can be made, we just need to multiply all the possibilities for colors of bottle, lid and label:

Number of different types of shampoo = 5 * 3 * 2 = 30

77

step-by-step explanation:

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°