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s2008m [1.1K]
3 years ago
6

A hiker walks at a speed of 3 2 5 kilometers per hour. How many kilometers will the hiker walk in

Mathematics
1 answer:
Vika [28.1K]3 years ago
3 0

Answer:

  = 2  4/15 km

Step-by-step explanation:

Speed = 3 2/5 km/hour

The units are not the same.  The speeds is in hours and the time is in minutes

Lets convert minutes to hours.  60 minutes = 1 hour

40 minutes * 1 hour/ 60 minutes = 40/60 hours = 2/3 hour

Distance = speed * time

                  = 3 2/5 * 2/3

Change the mixed number to an improper fraction

  3 2/5 = (5*3+2)/5 = 17/5

                   = 17/5 * 2/3

                  = 34/ 15  km

Change this back to a mixed number

 15 goes into 34 2 times  (15*2 = 30)  with 4 left over

                  = 2  4/15 km

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∠A and ∠B are vertical angles. If m ∠A=(2x+26)∘ and ∠B=(3x−29)∘, then find the measure of ∠A.
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The measure of angle (m ∠A) is 136°

<h3>Vertical angles theorem</h3>

From the question, we are to find the measure of angle A

From the given information, we have that

∠A and ∠B are vertical angles

Thus

∠A = ∠B

and

Also, from the given information,

m ∠A=(2x+26)°

and

m ∠B= (3x−29)°

∴ (2x+26)° = (3x−29)°

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Learn more on Vertical angle theorem here: brainly.com/question/24839702

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