Find the unknown angle measure by solving for the given variable.

Supplementary angles​

Problem 5

A counterexample could be a number like 6. Divide it over 2 and we get 6/2 = 3, which is a whole number. This shows 6 is a multiple of 2. However, 6/4 = 1.5 is not a whole number, so 6 is not divisible by 4. The overall claim is false.

======================================================

Problem 6

Let's say we are subtracting a positive number and a negative number. For instance, let's say we're subtracting 10 and -7

So,

10 minus -7 = 10 - (-7) = 10+7 = 17

When subtracting a negative, the two minus signs cancel to form a plus sign. The result we get is 17, which is larger than the greater number 10. So this is one counterexample that proves the claim to be false.

======================================================

Problem 7

Start with a circle. The circle can be any size. Plot four random points on the circle. The points can be anywhere you want. Let's label those points A,B,C,D. Form quadrilateral ABCD.

Now let's say we pick point A and pull it off the circle and pull it outside the circle. Points B,C and D remain on the circle. This is one example where we cannot draw a circle through this new arrangement of points. The circle goes through B,C, and D just fine; however, it doesn't go through point A. If you try to attempt to get the circle to go through A, then you'll have to pick B,C or D to ignore. In other words, you'll only be able to pick three points that the circle can go through. Therefore, a circle cannot be drawn as described for every quadrilateral.

Note: Any quadrilateral that has all four points on the same circle is known as a cyclic quadrilateral.

Answer:

C. - 1 and 0 only

Step-by-step explanation:

(x + 1) / x = 0, - 1, 2

inflection points / when sign Changes

+  /   -   /  +       /  +

"- 1 "   "0"      2

  ^      ^

"Hope this helps"

The graph of f has inflection points when x = 0 and -1.

Given that,

If graph =  f"(x) = x(x + 1)(x - 2)^2

We have to determine,

The graph of f has inflection point when x is.

According to the question,

Inflection point is the point in which the rate of slope changes in increasing to decreasing order or vice versa.

These points are generally not local maxima or minima but stationary points.

[tex]f''(x) = 0[/tex]

Therefore,

The graph of f has inflection point at,

[tex]f''(x) = x (x+1) (x-2)^{2} = 0\\\\x = 0 \ and \ x+1 = 0 \ \ = x = -1\\\\ or \ x-2 = 0 , \\\ \ \ = x =2[/tex]

On taking intersection of these points,

The graph has inflection points at x = 0 and -1.

Hence, The graph of f has inflection points when x = 0 and -1.

To know more about Inflection points click the link given below.

https://brainly.com/question/2289668

Step-by-step explanation:

[tex]( - {3x}^{3} )( - {2x}^{5} ) = 6x {}^{3 + 5} = {6x}^{8} [/tex]

Answer:

the table:

x | y

-2 | 5

-1 | 3

0 |  1

1  | 3

2 | 5

for the graph: go up from the middle point, then right then up by two and repeat on the other side as well, should look something like this

Answer:

1, 3, 5 =117

2, 4, 6, 7= 63

Step-by-step explanation:

Since we know that one angle is 117 degrees, 5, 1 and 3 will also be 117. 2, 4, 6 and 7 will also be the same. 117 plus 117 is 234. 63 + 63 = 126. 234+ 126 = 360.

Answer:

x(6 + 15y)

Step-by-step explanation:

In this instance, you can divide by a factor of x.

6x/x = 6

15xy/x = 15y

Therefore, we are left with 6 + 15y.

Answer:

5 girls because 1/4 times 20 is 20/4 which gets 5

Step-by-step explanation:

because 1/4 times 20 is 20/4 which gets 5

Answer: C

Step-by-step explanation:

Answer:

$51

Step-by-step explanation:

do 13*3 because of the 2 kids and the adult then add 12 because of the snacks

hope this helps

Answer:

51 and what?

Step-by-step explanation:

3 x 13 = 39                  4 x 3 = 12

39 + 12 = 51

what is x supposed to be, sorry, i suck at variables

Answer:

the answer is not flip because when u calculate it

Answer:

Yes, it's the first one

Step-by-step explanation:

Since the number line is from 0 to 1 and it's divided into 6 sections, the correct answer is 1

Answer:

Step-by-step explanation:

line 1  m=y2-y1 / x2-x1  [formula for slope ]

m= 0 - (-3) / 8-(-4)

m= 3 /12      

m= 1/4  slope of line 1

line2  

m = 2-6 / 0-(-1)

m = -4 / 1

m = -4  slope of line 2

line 3

m = -4 - (-7)  / -3 -  6

m = 3 / -9

m = - 1/3  slope of line 3

lines 1 & 2   perpendicular b/c they are reciprocals with a sign change :)

lines 1 & 3     neither.. differet slopes and not reciprocals

lines 2 & 3  perpendicular  b/c they are reciprocals with a sign change :)

Answer:

30 oranges

Step-by-step explanation:

2 apples : 5 oranges

12 apples : 30 oranges

because 12 apples is 6 times the original ratio, so we multiply the 5 oranges by 6 too.

Answer:

-8 + 19 = 11ºF

Step-by-step explanation:

Answer:

I guess, that's an Associative Property .

Answer:

2,thanks,for the points

Step-by-step explanation:

1000 x .05= 50.

1000 + 50= 1050

1050 x 6= 6300

Answer:

1 over 16

Step-by-step explanation:

What does that even say

Answer:

-0.7

Step-by-step explanation:

First do 3.2-1.8= 1.4. So now we know that -2n=1.4. Next you solve for n to get the answer of -0.7 with your answer of the third option.

Answer:

$2003364789

Step-by-step explanation:

24300+27990009+330065 multiplied by the power of 6 is 6999235.

Answer:

12a + 200 = 644

37 albums

Step-by-step explanation:

trust me i got it right on khan

Explanation:

it says $12 for each album

when you see the key word each then next beside it is the variable

also you add 200 because the key word is additional which means to add

it equals 644 because the key word is he earned a total

Tip: when you have equations underline the key words that would really help

also i just had the same problem

So therefore our equation would be: 12a + 200 = 644

and the number of albums sold is: 37

good luck on your work

Option (2) and Option (3) is the correct answer .

Required Explaination :

Scenario 2 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.

Scenario 3 : The sale of product increases at first and then decreases.

Therefore, the correct options are 2 and 3.

Answer:

8 7/99, Decimal. (8.07 repeated)

Step-by-step explanation: