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vekshin1
2 years ago
8

Which proportion could be used to find the length of side b?

Mathematics
1 answer:
UNO [17]2 years ago
6 0

Answer:

A

Step-by-step explanation:

\frac{sin A}{a} = \frac{sin B}{b}  = \frac{sin C}{c}

Also, you need to subtract the 2 known angles from 180 to find the missing angle measurement. 180 - 85 - 64 = 31

The angles go with the side lengths opposite them.

\frac{sin 64}{a}  = \frac{sin 85}{b} = \frac{sin 31}{9.3}

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<u>Answer:</u>

Price of the​ adult's ticket = $13

Price of a​ child's ticket = $ 10

<u>Step-by-step explanation:</u>

Given:

Cost of train fares for Three adults and four children = $79

Cost of train fares Two adults and three children  = $ 56

To Find:

Price of the​ adult's ticket and the price of a​ child's ticket =?

Solution:

Let the cost of one adult's ticket be x  and

Let the cost of one child's ticket be y

Then

Three adults and four children must pay $ 79 be

3x + 4y = 79-----------------------------------------------(1)

Two adults and three children must pay $56

2x + 3y = 56----------------------------------------------(2)

multiply  eq(1) by 2, we get

6x + 8y = 158----------------------(3)

multiply  eq(2) by 3, we get

6x + 9y = 168----------------------(4)

Subracting (3) from (4)

 6x + 9y = 168

 6x + 8y = 158

(-)      (-)       (-)

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0x +  y = 10

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y=10

Now substitute the value of y in eq (1) to get the value of x

3x + 4(10)= 79

3x +  40 = 79

3x = 79 - 40

3x = 39

x = \frac{39}{3}

x= 13

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Step-by-step explanation:

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-2x - 5y = 13 2x - 5y =17
Flura [38]

{-2x-5y=13

<u>{2x-5y=17    </u>(+)

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