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andreyandreev [35.5K]
3 years ago
14

The sum of the measures of the angles of a triangle is 180 degrees. the second angle is twice the measure of the first angle. th

e third angle is three times the measure of the second angle. find the measure of each angle
Mathematics
1 answer:
Luda [366]3 years ago
6 0
∠1 = x
∠2 = 2x
∠3 = 3 * 2x = 6x

x + 2x + 6x = 180
9x = 180
x = 180/9
x = 20°  ← <span>the first angle

</span>the second angle = 2 * 20 = 40°

<span>the third angle = 3 * 40 = 120</span>°
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Answer:

The goat would cover <u>9 meters</u> in taking 24 steps.

Step-by-step explanation:

<u><em>There is a mistake in the question so the correct question is below:</em></u>

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?

Now, to find the meters goat cover in taking 24 steps.

As 1 step of horse covers =  \frac{1}{2} \ meter.

So, 3 step of horse covers = \frac{1}{2} \times 3 =\frac{3}{2} =1.5\ meters.

<u><em>Thus, 3 steps of horse covers = 1.5 meter</em></u><em>s.</em>

<em>As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.</em>

<u><em>So, the distance covers by goat in 4 steps = 1.5 meters.</em></u>

Now, to get the meters goat cover in taking 24 steps by using unitary method:

If, the distance cover by the goat in 4 steps = 1.5 meters

So, the distance cover by the goat in 1 step = \frac{1.5}{4}

Thus, the distance cover by the goat in 24 steps = \frac{1.5}{4}\times 24

= \frac{36}{3}

= 9\ meters.

Therefore, the goat would cover 9 meters in taking 24 steps.

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Step-by-step explanation:

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Step-by-step explanation:

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