What is 54/3 in simplest form

In ΔVWX, the measure of ∠X=90°, WV = 17, VX = 15, and XW = 8. What ratio represents the sine of ∠W?

Dahasolnce [82]

Answer:

$Sin \ \angle W=\frac{15}{17}$

Step-by-step explanation:

-In a right triangle, the Sine of the base acute angle is usually given as:

$Sin \angle (base)=\frac{Opposite \ Length}{Hypotenuse}$

-In ΔVWX,, VX is the opposite and WV the hypotenuse.

-Therefore, sine of ∠Wis calculated as;

$Sin \ \angle W=\frac{Opp}{Hyp}\\\\=\frac{15}{17}$

Hence, sine of ∠W is given represented by the ratio $\frac{15}{17}$

7 0

4 years ago

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Pls answer 17 and 18 I will give brainist

Nataly_w [17]

Answers:

Step-by-step explanation:

17. We need to understand what an indirect proof is. In an indirect proof, you prove a statement by showing that the negation of the statement is false.

The "then" part of the conditional is the "to prove" statement.

In an indirect proof, we assume the opposite of what we want to prove, this is also called proof by contradiction.

So if we need to prove angle A is not an obtuse angle, we will assume it is and then use the proof format to show that angle A cannot be obtuse.

<h2>The answer is B: Assume angle A is an obtuse angle</h2>

18. This question is asking us to use an indirect proof again. The "then" part of the statement is "KL > JK" and is the "to prove" statement.

We need the opposite of this, which would be assuming that KL <u><</u> JK.

<h2>The answer is B: Assume that KL <u><</u> JK</h2><h2>I'm always happy to help :)</h2>

4 0

3 years ago

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Describe how the graph of y= x^2 can be transformed to the graph of the given equation.

AnnyKZ [126]

Answer:

We conclude that the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.

Hence, option D is true.

Please check the attached graph.

Step-by-step explanation:

Given the parent function

y = x²

Given the transformed function

y = (x - 12)²

Horizontal Translation:

The horizontal translation of y = x² is of the form

f(x-h)

so y = y = (x - 12)² means y = x² is shifted 12 right.

Vertical Translation:

y = x²

Then y = x² + b is a vertical translation of y = x²

if b > 0, then y = x² + b is the graph of y = x² 'b' units up.

if b < 0, then y = x² + b is the graph of y = x² 'b' units down.

Thus, y = x² + 3 means the graph y = x² is vertically shifted up by 2 units.

Please check the attached graph.

The blue graph is representing the graph of y = x².

The red graph is representing the graph of y = (x - 12)²+3

Therefore, the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.

Hence, option D is true.