Are these triangles similar?A) YesB) No

Mathematics

1 answer:

andrew11 [14]3 years ago

5 0

Answer:

B) No

Step-by-step explanation:

They are not similar because if you add all three angles, they add up to 179. Every triangle is supposed to have 180°.

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Which angles are coterminal with −6π5 ? Select each correct answer. 14π/5 −16π/5 −π/5 −11π/5

wariber [46]

ANSWER

$- \frac{16 \pi}{5} \: and \: \frac{14\pi}{5}$

EXPLANATION

Coterminal angles are angles in standard position that have the same terminal side.

To find an angle in standard position that is coterminal with

$- \frac{6 \pi}{5}$

We add or subtract multiples of
$2 \pi$

The first addition gives,

$- \frac{6 \pi}{5} + 2 \pi = \frac{4 \pi}{5}$

We add the second multiple to get,

$- \frac{6 \pi}{5} +2( 2 \pi )= \frac{14 \pi}{5}$

Since this is the maximum value among the options, we end the addition here.

Let us now subtract the first multiple to get,

$- \frac{6 \pi}{5} - 2 \pi = - \frac{16 \pi}{5}$

We end the subtraction here because this is the least value among the options.

Therefore the angles that are coterminal with
$- \frac{6 \pi}{5}$
are

$- \frac{16 \pi}{5} \: and \: \frac{14\pi}{5}$

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