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Alina [70]
4 years ago
11

Joe is hiking a trail that is 30 miles long. after several days, he is two times as far from the beginning of the trail as he is

from the end. how much further does he have to hike?
Mathematics
1 answer:
lora16 [44]4 years ago
5 0
In order to answer this question let's suppose,
Joe is x miles from the beginning and y miles from the end. These assumptions are necessary to answer further:

Now,
x=2y
x+y=30
plugging in x=2y in the above equation
2y+y=30
3y=30
y=10

Hence, according to our calculations, Joe has to hike 10 miles further
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Answer:

d. 89°

Step-by-step explanation:

The given measure of the angles formed are;

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According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;

Therefore;

m∠AED = (1/2) × m\widehat{ABE}  = 48°

∴ m\widehat{ABE} = 2 × 48° = 96°

m∠AEF = (1/2) × m\widehat{AGE}

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∴ m\widehat{AGE} = 360° - m\widehat{ABE} = 360° - 96° = 264°

m\widehat{AGE} = m\widehat{AG} + m\widehat{EG}

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To achieve this in this problem, you need to move the decimal point 3 times to the right.

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therefore you answer should be written as:

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hope this helps :)

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