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navik [9.2K]
3 years ago
9

Triangle ABC has side lengths: V6, V2, and 2/2 units.

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0

Answer:

90°, 60°, and 30°

60°.

Step-by-step explanation:

The triangle ABC has side lengths √6, √2, and 2√2 units.

It is clear that the triangle ABC is right triangle because (2√2)² = (√6)² + (√2)² that means the side lengths satisfy the Pythagoras Theorem.

Now, if the angle between hypotenuse (2√2 units) and base (√2 units) is \theta, then

\cos \theta = \frac{\sqrt{2} }{2\sqrt{2} }  = \frac{1}{2}

Hence, \theta = 60°

Therefore, the three angles of the triangle are 90°, 60°, and 30°.

Now, if the base of the triangle is 16 units, then other two side lengths will also change proportionally to remain the triangle a right triangle.

And in that case the base angle will remain 60°. (Answer)

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3 0
3 years ago
Q # 9 please find the area
Rudik [331]
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3 years ago
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2 years ago
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3 years ago
Which graph represents the function f (x) = StartFraction 2 x minus 1 Over x minus 1 EndFraction?
Lubov Fominskaja [6]

The correct description of the graph:

<em>"One curve opens up and to the right in quadrant 1, and the other curve down and to the left in </em><em>quadrants </em><em>2, 1, and 4."</em>

<h3>Which graph is the graph of the given functions?</h3>

Here we have the function:

f(x) = \frac{2x - 1}{x - 1}

The graph of this function can be seen below:

Then we can see that a curve opens up on quadrant 1, and down on quadrants 2 and 3 (it pass throw quadrant 1 for a little bit).

Then the correct option is:

<em>"One curve opens up and to the right in </em><em>quadrant </em><em>1, and the other curve down and to the left in </em><em>quadrants </em><em>2, 1, and 4."</em>

<em />

If you want to learn more about rational functions:

brainly.com/question/1851758

#SPJ1

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