Kelly ordered 10 pizzas for a party. 30% of the pizzas have 12 slices each. the remaining 70% of the pizzas have 8 slices each. complete the model. then complete the statements to find the total number of slices of pizza.

The total number of slices is 92

Step-by-step explanation:

we know that

Kelly ordered 10 pizzas for a party

step 1

30% of the pizzas have 12 slices each

so

The number of pizzas for 30% is equal to

0.30(10)=3 pizzas

The number of slices is

3(12)=36 slices

step 2

70% of the pizzas have 8 slices each

so

The number of pizzas for 70% is equal to

0.70(10)=7 pizzas

The number of slices is

7(8)=56 slices

step 3

Find the total number of slices

36+56=92 slices

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°