After 10 days Mr. Monasterio had eaten 43 burritos. After 15 days, he had eaten 78 burritos. What is the rate of change? Label your answer with units.

7 burritos/day

Step-by-step explanation:

Given data

Initial day =10

Final day =15

Initial burritos consumed=43

Final burritos consumed =78

Let the constant k = rate of change

change in days = 15 - 10 = 5

change in number of burritos = 78-43=35

k = 78-43/15-10

k = 35/5

k = 7

Since k = change in number of burritos/change in days

7 burritos/day

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°

do your own work and don"t cheat.

step-by-step explanation: