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2 years ago

A different way of proving the angle sum of a triangle is to use diagram

Mathematics

1 answer:

marishachu [46]2 years ago

7 0

a.yes

Step-by-step explanation:

a.angle BCD =b because angle BCD is alternate angle of angle ABC

b.the two angles angle BAC and angle ACD is co-interior angle because they are inside a parallel line

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Find the exact value of tan 150° in simplest form with a rational<br> denominator.

Ainat [17]

Step-by-step explanation:

tan150°

= -tan30°

= -√3/3.

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2 years ago

One angle of an isosceles triangle measures 62º. Which other angles could be in that

oee [108]

Answer:

62 and 56 or 59 and 59

Step-by-step explanation:

62, 62, 56

62, 59, 59

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2 years ago

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Why is coal a non-renewable energy source

Ratling [72]

1. It is extracted from the ground.
2. It took years to form.

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2 years ago

Which equation shows direct variation? A. y-x=1. B. y/x=10. C. y=4/x. D. xy=5

sesenic [268]

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2 years ago

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An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to

iris [78.8K]

Answer: $BC=14.8$

Step-by-step explanation:

By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.

Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.

So, in this case you need to use the following Trigonometric Identity:

$sin\alpha =\frac{opposite}{hypotenuse}$

In this case, you can identify that:

$\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24$

Substituting values, and solving for "x", you get:

$sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416$

Therefore, the length of BC rounded to nearest tenth, is:

$BC=2(7.416)=14.8$

6 0

2 years ago