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3 years ago

Is the following statement a good definition? Why?

Mathematics

2 answers:

JulijaS [17]3 years ago

4 0

Answer:

The correct option is D.

Step-by-step explanation:

An an angle is called an obtuse angle if the measure of angle is lies between 90° and 180°. The angle θ is an obtuse angle if

$90^{\circ}$

The given statement is "An obtuse angle is an angle whose measure is greater than 90°."

It is an false statement, because all angles whose measure is more than 90°, are not an obtuse angle.

For example the angle 200° is more than 90° but not less than 180°, therefore the angle 200° is not an obtuse angle. The angle 180° is not an obtuse angle.

Therefore option D is correct.

Zarrin [17]3 years ago

3 0

<span>D No, it is not. A straight angle has a measure greater than 90°, but it is not an obtuse angle.
The sentence should say: </span>An obtuse angle is an angle whose measure is greater than 90° but less than 180°

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A classmate simplified a rational expression below

lara31 [8.8K]

<h2>Part a) </h2><h2>Explain the error in this simplification.</h2>

Given the simplified expression

$1-\frac{2}{x-2}=\frac{x+1}{x+2}$

$1-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)$

$\:1-2x-4=x^2-x-2$

$-2x-3=x^2-x-2\:\:$

$0=x^2-2x-2\:\:$

$0=\left(x-1\right)\left(x-1\right)$

$x=1$

<u><em>Identifying the Main Error</em></u>

$1-\frac{2}{x-2}=\frac{x+1}{x+2}$

$1-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)$ ← ERROR Starts here

<u><em>Here is the Explanation of the Error </em></u>

<u><em /></u> $\mathrm{The\:equation\:should\:have\:been\:Multiplied\:by\:LCM=}\left(x-2\right)\left(x+2\right)$ <em>. </em>In your case you wrongly multiply the equation.

<em><u>CORRECTION</u></em>

<em>HERE IS HOW YOU SHOULD HAVE MULTIPLIED BY </em><em>LCM = (x-2)(x+2):</em>

<em />

$1-\frac{2}{x-2}=\frac{x+1}{x+2}$

$1\cdot \left(x-2\right)\left(x+2\right)-\frac{2}{x-2}\left(x-2\right)\left(x+2\right)=\frac{x+1}{x+2}\left(x-2\right)\left(x+2\right)$

$\left(x-2\right)\left(x+2\right)-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)$

<h2>Part b) </h2><h2>Show your work as you correct the error</h2>

Here is the complete correction of the error.

Considering the expression

$1-\frac{2}{x-2}=\frac{x+1}{x+2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}x-2,\:x+2:\quad \left(x-2\right)\left(x+2\right)$

$1\cdot \left(x-2\right)\left(x+2\right)-\frac{2}{x-2}\left(x-2\right)\left(x+2\right)=\frac{x+1}{x+2}\left(x-2\right)\left(x+2\right)$

$\left(x-2\right)\left(x+2\right)-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)$

$x^2-2x-8=x^2-x-2$

$x^2-2x-8+8=x^2-x-2+8$

$x^2-2x=x^2-x+6$

$-x=6$

$\frac{-x}{-1}=\frac{6}{-1}$

$x=-6$

3 0

3 years ago

What pattern would to you expect when two variables are related by a linear model with a positive slope

olganol [36]

There isnt one its has to be consistent but honestly idk

4 0

3 years ago

During a basketball game, Bari scored 28 points. During the same game, Denay scored

Elza [17]

Answer:

28 points

Step-by-step explanation:

If they scored the same amount then Denay would have scored 28 as well

Hope that helps

6 0

3 years ago

Can someone please help me with this question, I have multiple of them and have no idea where to start. If you can help me with

Alika [10]

Answer:

x = 5

Explanation:

Well, there's a theorem about these triangles that helps you solve questions similar to this one.

The theorem states that the sum of the two angles of a triangle is equal to the magnitude of the angle exterior to them.

That is, 33° + (10x+1)° = (17x-1)°

17x - 10x = 33 + 1 + 1

7x = 35 => x = 5

Hope it helps you, mate! :)

6 0

2 years ago

There are two aircraft carriers, A and B, and the carrier A is longer in length the carrier B. The total length of these two car

Svetradugi [14.3K]

Answer:

<h3>Length of carrier A = 2096 feet</h3><h3> Length of carrier B=2082 feet.</h3>

Step-by-step explanation:

Given , two air craft carriers are A and B . The carrier A is longer than the carrier B in length.

Total length of two carriers =4178 feet

Difference of two carriers = 14 feet

Let

Length of carrier A =x feet

And

Legth of carrier B =y feet

According to question

The I equation is

x+y=4178

The II equation is

x-y= 14

Substitution method: In this method step I : we find value of x or y from the equation I

Step II: put the value of x or y in II equation then we get the value of another varaiable x or y

Step : Again put the obatined value of variable x or y from step II in equation I then we get value of other variable x or y .

By using substitution method ,

we find value of x from equation I

x= 4178-y

Now, put the value of x in equation II then we get

4178-y-y=14

4178-2y=14

4178-14=2y

4164=2y

$y=\frac{4164}{2}$

y= 2082

Again , put the value of y in equation I

2082 +x=4178

x= 4178-2082

x=2096

Hence, the length of carrier A = 2096 feet

The length of carrier B= 2082 feet

4 0

3 years ago