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3 years ago

Which of the following statements are true of the hypotenuse of a right triangle?

Mathematics

2 answers:

denis-greek [22]3 years ago

6 0

Answer:

<h2>It is the longest side of a right triangle.</h2><h2>It is opposite the right angle.</h2>

Step-by-step explanation:

First of all, remember that the hypothenuse of a right triangle is the largest side of all three. Also, the hypothenuse is always in front of the right angle. Those two characteristics are used to determined which side is the hypothenuse in a right triangle.

So, basically, the first choice is correct: It is the longest side of a right triangle.

The third choice is also correct: It is opposite the right angle.

Additionally, the legs are the ones which form the right triangle and the length of the hypothenuse is not the sum of the lengths of the other two sides, because that actually violates the triangular inequality which defined all existing triangles.

Therefore, the right answers are first and third choices.

kodGreya [7K]3 years ago

5 0

It is the longest side of a right triangle.

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5 chaperones are needed for the trip

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3 years ago

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Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14

inn [45]

Answer: 168 inches.

Explanation:

First thing you must always do when solving word problems is read closely, and take note of any number.

In this case, the first thing we must do is find the scale factor.

For this, we use one of the dimensions. We will use the width of the photo.

We have then:

k = 132/11

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Then, we look for the value of the height of the new photo. To do this, we multiply the scale factor by the original dimension.

We have then:

14k = 14 (12) = 168

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3 years ago

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In a graphing program, graph the following 4 functions in the same coordinate plane.

9966 [12]

See below for the changes when the exponential function is transformed

<h3>How to determine the effect of a</h3>

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$y = \sqrt x$

$y = 5\sqrt x$

$y = 14\sqrt{x$

$y = -2\sqrt{x$

An exponential function of the above form is represented as:

$y = a\sqrt{x$

See attachment for the graph of the four functions.

<u>When a is large</u>

This is represented by $y = 14\sqrt{x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and it moves closer to the y-axis

<u>When a is small</u>

This is represented by $y = 5\sqrt x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and it moves away from the x-axis

<u>When a is negative</u>

This is represented by $y = -2\sqrt{x$

In this case, the curve of the base form $y = \sqrt x$ is vertically stretched and is reflected across the y-axis.

Read more about function transformation at:

brainly.com/question/26896273

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2 years ago

Kite GHIJ has sides GH, HI, IJ and JG. What are the diagonals of this figure? Select all that apply.

juin [17]

Answer:

GI or HJ

Step-by-step explanation:

Diagonals connect non-adjacent vertices.

That is, the diagonal with G as an endpoint will not connect to vertices H or J, but will connect to vertex I. Likewise the diagonal with H as one end will have J as the other end. A quadrilateral has only two (2) diagonals. Of course, each can be named two ways:

GI or IG

HJ or JH

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3 years ago

If f (1)= -2, then the point is on the graph of f

Komok [63]

<h3>Answer: (1, -2)</h3>

Explanation:

Writing f(1) = -2 means x = 1 and y = f(x) = -2 pair up together

So we have (x,y) = (1, -2) as the point on the f(x) curve.

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3 years ago