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ra1l [238]
2 years ago
13

2. Complete the proof of the exterior angle theorem

Mathematics
1 answer:
Sonbull [250]2 years ago
7 0

Answer:

The correct answer is:

1. Because of collinearity and supplementarity-

2. They remain along the same line.

3. The sum of them is 180 degrees.

4.  Supplementarity.

5. The sum of the internal angles of a triangle is 180ª  

6. Supplementarity and external angle theorem sum up the same.

7.  Nothing.

Step-by-step explanation:

1. The reason why the exterior angle of 3 is 4, its because the last one is supplementary and collinear to the other.

2. Angle 3 and 4, form a collinear pair since they remain along the same line.

3. Angle 3 is supplementary to 4 because the sum of them is 180 degrees.

4.  The sum of the angles are 3 and 4 is 180 because they are supplementary.

5. The sum of the angles mentioned is: 180  because of internal angle theorem.

6.  It's like that because supplementarity and external angle theorem sum up the same. i.e, angle 1 + angle 2 + angle 3  = angle 3 + angle 4 =180

7. Nothing.

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A rectangular prism is shown below. Find the volume. 1.3 ft 1.5 ft 2.3 ft 23 “ Your answer can be exact or rounded to the neares
Helen [10]

Answer:

4.485 ( rounded = 4.5)

Step-by-step explanation:

1.3 x 1.5 x 2.3 = 4.485

8 0
3 years ago
How do you determine if two numbers or expressions are equal
Alja [10]
You can determine if two numbers are equal if they have the same value. (4 are 4 are equal) (4 and 5 are not equal). You can determine if two expressions are equal by solving them. If the answers are of an equal value, they are equal. (4+5 and 6+3 are equal because they both work out to be 9) (4+5 and 5+5 are not equal because they work out to be 9 and 10.)
                                              ~Crutchie
p.s. The mathmatical term for "equal" is <em>equivilent. </em>As in <em>equivilent expressions</em> or <em>equivilent numbers</em>.


p.p.s. The mathmatical term for "numbers" are <em>integers</em>. As in <em>the diffrence between the integers </em>or <em>equivilent integers.</em>
7 0
2 years ago
Help with math please???
Tresset [83]

Okay, let's see...

The problem is asking for a linear equation most likely in the form of y=mx+b

y is another way to say f(x)

<em>m = slope </em>

<em>b = y intercept </em>

Let's start with the y intercept first.

Y intercept means ' When does the line touch (intercept) the y axis.

In this case, if you look at the graph, the line <em>touches </em>the y axis at -1.

-1 will replaces b

To find the slope we are going to take 2 precise points from the graph.

Lets use <em>(0,-1)</em> and <em>(-6,4) </em>

To find the slope, we're going to use \frac{(y_{2}  -y_{1} )}{(x_{2} -x_{1} )}

4 - (-1)     /     -6  - 0

Solve, our slope is 5/-6

That is our m

Our final equation is

f(x)=\frac{-5}{6} x -1

3 0
2 years ago
A. x = 2, y =6<br> B. x = 2, y =3<br> C. x =-2, y =3<br> D. x = -3, y =2
AlekseyPX

Answer:

The correct answer is A) x = 2 and y = 6

Step-by-step explanation:

In order to find the answer, we need to set the hypotenuses equal to each other. Then we can solve for y to get the equation.

y - 1 = x + 3

y = x + 4

Now we can do the same with the leg lengths.

y - 3 = 2x - 1

y = 2x + 2

Now that we have two equations, we can set them equal to each other to get the x value.

x + 4 = 2x + 2

4 = x + 2

2 = x

Now that we have x, we can plug it into any equation to get the y value.

y = x + 4

y = 2 + 4

y = 6

5 0
3 years ago
Read 2 more answers
Please help!!! Will give brainly!! 50 points
AleksAgata [21]

2. Angle Addition Postulate as they are adding both angles

3. 60 + 40 = m <ABC because it's a substitution

4. 100 = m <ABC as it is simplified already

5. Definition of obtuse angle

6 0
3 years ago
Read 2 more answers
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