Eliza volunteers at a nearby aquarium

Mathematics

1 answer:

pishuonlain [190]2 years ago

8 0

It is 3٫100 miles right

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Someone pls help im so close

Sliva [168]

Answer: A) 126.6

<u>Step-by-step explanation:</u>

Since we know ∠B = 85° and ∠C = 53°, we can use the Triangle Sum Theorem (angles of a triangle = 180°) to calculate ∠A.

∠A + ∠B + ∠C = 180

∠A + 85 + 53 = 180

∠A + 138 = 180

∠A = 42

Now we have:

A = 42 B = 85 C = 53

a = 85 b = ??? c = ???

We have all of the information for ∠A and side a so we can use the Law of Sines to find b (AC).

$\dfrac{\sin 42}{85}=\dfrac{\sin 85}{b}\\\\\\b(\sin 42)=85(\sin 85)\\\\\\b=\dfrac{85\sin 85}{\sin 42}\\\\\\b=\large\boxed{126.547}$

4 0

3 years ago

Find the value of x, y, and z.

egoroff_w [7]

Answer:

x = 61°

y = 61°

z = 58°

Step-by-step explanation:

In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.

Therefore,

$x + x + 58 \degree = 180 \degree \\ \\ 2x = 180 \degree - 58 \degree \\ \\ 2x = 122 \degree \\ \\ x = \frac{122 \degree}{2} \\ \\ x = 61\degree \\ \\ y = 61\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\ \\ z = 58\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\$