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Elis [28]
3 years ago
12

Mrs Hom bought 44 pizzas which consist of regular size and large size pizzas to be distributed equally to 96 workers. Each regul

ar pizza is cut into 6 pieces while each large pizzas is cut into 8 pieces. Each worker got a piece of large size pizza and a few pieces of regular size pizzas.
How many pieces of regular pizza were obtained by each worker?

Could you show me how to do it step by step?
Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

96÷8= 12

44-12=32

12 Large Pizzas & 32 Regular Pizzas

32×6=192 slices

192÷96=2

Each worker got 1 slice of the large pizza & 2 slices of the regular pizza

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The answer to your question is 6.- B    7.- D

Step-by-step explanation:

Data

Parallelogram ACFG

6.-

m∠GAC = 112°

m∠ACF = ?

Process

These angles are supplementary, they measure the same.

                  ∠GAC + ∠ACF = 180

-Substitution

                      112 + ∠ACF = 180°

-Solve for ∠ACF

                      ∠ACF = 180° - 112°

-Result

                      ∠ACF = 68°

7.-

m∠AGF = 2a + 10

m∠ACF = a + 20

The angles ∠GAC and ACF are equal, they measure the same.

                   ∠GAC = ∠ACF

-Substitution

                   a + 20 = 2a + 10

-Solve for a

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                    a = 10

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