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Anestetic [448]
3 years ago
8

A.)90 B.)41 C.)15 D.)83

Mathematics
1 answer:
Natalija [7]3 years ago
3 0

Answer:

D

Step-by-step explanation:

∠ABC= ∠DBE (vert. opp. ∠s)

(6x -7)°= (4x +23)°

6x -7= 4x +23

<em>Being</em><em> </em><em>x</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>,</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em>:</em>

6x -4x= 23 +7

<em>Simplify</em><em>:</em>

2x= 30

<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>2</em><em>:</em>

x= 15

<em>Substituting</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em>:</em>

m∠ABC

= 6(15) -7

= 83

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Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C
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Total number of pizzas Juan ordered 20

Since, 45\% of pizzas have 8 slices.

Therefore, number of pizzas with 8 slices are: 45\%\times(20)

                                                                                          =\frac{45}{100} \times(20)

                                                                                          =\frac{45}{10} \times(2)

                                                                                          =\frac{90}{10}

                                                                                          =9 pizzas


Also, since, 55\% of pizzas have 12 slices.

Therefore, number of pizzas with 12 slices are: 55\%\times(20)

                                                                                          =\frac{55}{100} \times(20)

                                                                                          =\frac{55}{10} \times(2)

                                                                                          =\frac{110}{10}

                                                                                          =11 pizzas


Now, there are 9 pizzas with 8 slices and 11 pizzas with 12 slices.

Therefore, total number of slices of pizza are: =(9)(8)+(11)(12)

                                                                            =72+132

                                                                            =204 slices

5 0
3 years ago
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