Geometry.... help please?

Mathematics

1 answer:

stepladder [879]3 years ago

6 0

This is the HL Theorem.

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UkoKoshka [18]

When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees

The Law of Sines states that

side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)

14 * Sine (41) / Sine (77) = side x

side x = 14 * 0.65606 / 0.97437
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3 years ago

Find the quotient and any excluded values. (x + 5/x^2 + 9x + 20)/(x^2-16/x-4)

Wittaler [7]

By (x + 5/x^2 + 9x + 20) you apparently meant the following:

x+5
----------------------
x^2 + 9x + 20

and by

(x^2-16/x-4)
x^2-16
you apparently meant ---------------
x - 4

Please use additional parentheses for clarity.

Dividing,

 x+5 (x-4)(x+4)
---------------------- * ---------------
x^2 + 9x + 20 x-4

Now, x^2 + 9x + 20 factors into (x+4)(x+5), so what we have now is

(x+5)(x+4)
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A beverage is made by mixing three parts of water with five parts of fruit juice how many parts of water are mixed with one part

Lubov Fominskaja [6]

Answer:

3/5 part water.

Step-by-step explanation:

If the ratio for water to fruit juice is 3:5, then if you divide the fruit juice by 5 to get one you must do the same on the other side, giving you 3/5(which cant be simplified further), which makes 3/5:1.

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