Lauryn grew p tomato plants. padma grew 5 fewer than 3 times the number lauryn grew. kent grew 6 more than 4 times the number lauryn grew. choose an expression and a simplified expression to represent the total number of tomato plants that lauryn, padma, and kent grew. select all that apply.

Step-by-step explanation:

Given :Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew.

To Find: a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew.

Solution :

Let total number of tomatoe plants be T

Since we are given that Lauryn grew tomato plants = p

We are also given that Padma grew 5 fewer than 3 times the number Lauryn grew.

⇒

We are also given that  Kent grew 6 more than 4 times the number Lauryn grew.

⇒

So, total number of tomato plants :

⇒

⇒

Hence  a simplified expression to represent the total number of tomato plants that Lauryn, Padma, and Kent grew is

17

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°