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koban [17]
3 years ago
10

I need help with both of these questions please!

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

Answer:

The answer to your question is below

Step-by-step explanation:

1)

Process

1.- Find z

                 z = 107°              because they are vertical angles

2.- Find x

            5x - 7 + 107 = 180        Because they are supplementary angles

            5x  = 180 + 7 - 107  

              5x = 80

              x = 80/5

             x = 16

2)

The sum of the internal angles in a triangle equals 180

             65 + 50 + x = 180

             x = 180 - 65 - 50

             x = 65°          

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Step-by-step explanation:

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PLEASE HELP!!! Two towns are 1100 miles apart. A group of hikers starts from each town and walks down the trail toward each othe
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Answer:

2.54 miles/hr

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Step-by-step explanation:

<u>Given: </u> Distance between the two towns = 1100 miles

Difference between speeds = \frac{1}{2} miles/hr

Total time when they meet = 240 hours

<u>To find:</u>

Let distance traveled by first group = x miles.

Now, the distance traveled by second group = (1100-x) miles/hr

The relation between Speed, Time and Distance is given as:

\text{Speed =} \dfrac{\text{Distance}}{\text{Time}}

Let speed of first group = S_1

S_1 = \dfrac{x}{240}

Let speed of second group = S_2

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As per question, S_1 = S_2 + \frac{1}{2}

\dfrac{x}{240} = \dfrac{1100-x}{240} + \dfrac{1}{2}\\\Rightarrow \dfrac{x}{240} - \dfrac{1100-x}{240} = \dfrac{1}{2}\\\Rightarrow \dfrac{x-1100+x}{240} = \dfrac{1}{2}\\\Rightarrow 2x - 1100 = 120\\\Rightarrow 2x = 1220\\\Rightarrow x = 610 ft

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S_1 = \dfrac{x}{240}

Putting value of x:

S_1 = \dfrac{610}{240}\\\Rightarrow S_1 = 2.54\ miles/hr

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