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3 years ago

In the figure, angle K measures 45 degrees. What is the measurement of angle C?

Mathematics

1 answer:

Delvig [45]3 years ago

5 0

It is 45 because the triangle should be 180 degree and if K is 45 then J should be 45, too. We all know that the right triangle is 90 degree, so we add angle J and G, it is 135. Lastly, you subtract 180- 135=45.

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Please help with the question in the picture!

Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

METHOD - I

Sin² C + Cos² C = 1

Cos² C = 1 - Sin² C

Cos² C = $1 - \frac{9}{25}$

Cos² C = $\frac{25 - 9}{25}$

Cos² C = $\frac{16}{25}$

Cos C = $\sqrt{\frac{16}{25} }$

Cos C = $\frac{4}{5}$

As we know that

Tan C = $\frac{Sin C}{Cos C }$

Tan C = $\frac{\frac{3}{5} }{\frac{4}{5} }$

Tan C = $\frac{3}{4}$ 

METHOD - II

Given Sin C = $\frac{3}{5} = \frac{Height}{Hypotenuse}$

therefore,

AB ( Height ) = 3; BC ( Hypotenuse) = 5

∵ ΔABC is Right triangle.

∴ By Pythagorean Theorem-

AB² + AC² = BC²

AC² = BC² - AB²

AC² = 5² - 3²

AC² = 25 - 9

AC² = 16

AC ( Base) = 4

Since,

Tan C = $\frac{Height}{Base}$ 

Tan C = $\frac{AB}{AC}$

Hence Tan C = $\frac{3}{4}$ 

4 0

3 years ago

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Galina-37 [17]

Answer:

Step-by-step explanation:

-2 over 3 is it cuz -4 over 6 simplifies to that and all the others do too

8 0

2 years ago

What is the value of x? 21 24 32 44

VMariaS [17]

Answer:

x = 21

Step-by-step explanation:

Because GJ is a diameter, the angle K is a right angle (90 degrees).

Thus, 4x + 6 = 90, and 4x = 84. Thus, x = 21

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Lyrx [107]

Step-by-step explanation:

tan(A/2)

tan(A/2)=sinA/1+cos A

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tanA/2=1/5

4 0

3 years ago

Read 2 more answers