3(x+2) = 3x + 6 is an example of which property?

Answer:

  ∠K = 80°

  ∠M = 100°

Step-by-step explanation:

Angles along a line total 180°. So, your equation for ∠K is ...

  60° +40° +∠K = 180°

  ∠K = 180° -100° = 80°

Similarly, ...

  ∠M = 180° -∠K = 100°

_____

Additional comment

Together, the 60° and 40° angles make a 100° angle that is vertical to (and congruent with) ∠M. Recognizing that, you know ∠M = 100°. ∠P is a vertical angle with ∠K, so will have the same measure, 80°.

Answer:

B

Step-by-step explanation:

The vertical triangles are not congruent which eliminates A and D, the equvilant of Z is U which = y

Answer:

The answer is D. 216 [tex]in^{3}[/tex]

Step-by-step explanation:

I took the test. Hope this helps.

The volume of the container is 216 inches³.

Volume of a three dimensional shape is the space occupied by the shape.

Given a container.

A triangular prism consists of two triangular bases and three rectangular faces.

The given container is a right triangular prism.

Volume of a triangular prism = Base area × Length of the prism.

Base area = Area of right triangle

                 = [tex]\frac{1}{2}[/tex] × 6 × 8

                 = 24 inches²

Length of the prism = length between the base triangles = 9 inches

Volume = 24 × 9 = 216 inches³

Hence the required volume of the container is 216 inches³.

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Answer:

16.1555

Step-by-step explanation:

Answer:

Union

Step-by-step explanation:

The UNION of two or more sets is the set that contains all elements of the set.

Answer:

9.10938

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Subject: Re: Need the math proof for 1 + 1 = 2

The proof starts from the Peano Postulates, which define the natural

numbers N. N is the smallest set satisfying these postulates:

P1. 1 is in N.

P2. If x is in N, then its "successor" x' is in N.

P3. There is no x such that x' = 1.

P4. If x isn't 1, then there is a y in N such that y' = x.

P5. If S is a subset of N, 1 is in S, and the implication

(x in S => x' in S) holds, then S = N.

Then you have to define addition recursively:

Def: Let a and b be in N. If b = 1, then define a + b = a'

(using P1 and P2). If b isn't 1, then let c' = b, with c in N

(using P4), and define a + b = (a + c)'.

Then you have to define 2:

Def: 2 = 1'

2 is in N by P1, P2, and the definition of 2.

Theorem: 1 + 1 = 2

Proof: Use the first part of the definition of + with a = b = 1.

Then 1 + 1 = 1' = 2 Q.E.D.

Note: There is an alternate formulation of the Peano Postulates which

replaces 1 with 0 in P1, P3, P4, and P5. Then you have to change the

definition of addition to this:

Def: Let a and b be in N. If b = 0, then define a + b = a.

If b isn't 0, then let c' = b, with c in N, and define

a + b = (a + c)'.

You also have to define 1 = 0', and 2 = 1'. Then the proof of the

Theorem above is a little different:

Proof: Use the second part of the definition of + first:

1 + 1 = (1 + 0)'

Now use the first part of the definition of + on the sum in

parentheses: 1 + 1 = (1)' = 1' = 2 Q.E.D.

Answer:

The answer is D

Step-by-step explanation:

Alonzo used 5.3 in his model instead of .53

Answer:

A. Multinomial population

Explanation:

A multinomial population has categorical data. In other words data in this form has different classes in which data is grouped into. These classes do not overlap and are more than two as opposed to binomial populations that have just two outcome variables or data categories. For example in the above data, we see that data is grouped into three categories:students in business college, students in liberal art college and students in education college

9514 1404 393

Answer:

  3√2

Step-by-step explanation:

The distance from point (x, y) to the line ax+by+c=0 is given by ...

  d = |ax +by +c|/√(a²+b²)

In general for, the equation of the line is ...

  x -y +4 = 0

so the distance formula is ...

  d = |x -y +4|/√(1² +(-1)²) = |x -y +4|/√2

For the given point, the distance is ...

  d = |6 -4 +4|/√2 = 6/√2

  d = 3√2 . . . . distance from the point to the line

Answer:

10

Step-by-step explanation:

Answer:

2,350,000,000  

Step-by-step explanation:

hope this helps

Answer:

the angles and side length will stay the same

Step-by-step explanation:

it's a rigid translation, meaning that the shape doesn't change

Answer:

8

Step-by-step explanation:

4,5,6,6,7,7,8,8,8,8,8,9,9

x  x x x x x     x  x  x x x x

Answer:

1417.4 if they are looking for a whole number the answer is 1417

Step-by-step explanation:

Hope this helped :)

P.S. If this is wrong please let me know

Using the point-slope form:

⇒ [tex](y-y0) = m(x-x0)[/tex]

Which require one point (x0,y0) on the line and the slope (m)

Thus let us plug int the value

[tex](y + 2) = 0(x + 4)\\y + 2 = 0\\y = -2[/tex]

Thus the equation of the line is y = -2

Hope that helps!

Answer:

1

Step-by-step explanation:

5(0)+1=1 because 5x0=0 then add the 1

The value of the function f (x) = 5x + 1 at x equal to zero will be 1.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given function is f (x) = 5x + 1. The value of the function at x equal to 0 will be calculated as below:-

f (x) = 5x + 1

f (0) = 5 x 0 + 1

f (0) =  0 + 1

f (0) = 1

Therefore, the value of the function f (x) = 5x + 1 at x equal to zero will be 1.

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Answer:

[tex]x=32[/tex]

Based on the given conditions, formulate:

[tex]x-3=29[/tex]

Rearrange variables to the left side of the equation

[tex]x=29+3[/tex]

Calculate the sum or difference

[tex]x=32[/tex]

I hope this helps you

:)

Answer:

The slope is undefined.

Step-by-step explanation:

M = Y2 - Y1

X2 - X1

M = -3 - 4

-1 - (-1)

M = -7

0

M = Undefined

Answer:

Height of replica = 10.63 feet

Step-by-step explanation:

Given :-

Scale factor = 100 : 1

Height of Eiffel Tower = 1063 feet

To Find :-

Height of replica (h)

Solving :-

100 = 1063 / x

x = 1063/100

x = 10.63

Solution :-

Height of replica = 10.63 feet

Answer:

20

Step-by-step explanation:

(You could also use 3-4-5 method, 15, 20 , 25)

[tex]15^{2} +x^{2} =25^{2}\\225+x^{2}=625\\-225 -225\\x^{2}=\sqrt{400}\\x = 20\\Length = 20 \\\\\\[/tex]

Answer:

I think it should be 30-40 brain points, because there's too much questions.

Answer:

x= 31 degrees

Step-by-step explanation:

122x2=244

360-244 = 116

116/2 = 58

z= 91 degrees

so the inside next to corner b is 58 degrees

91 + 58 = 149

180 - 149 = 31

x = 31

Answer:

19.5+24+7.5 = 51

19.5+51+24 = 94.5

51+24+94.5=169.5

Step-by-step explanation: Basically for the blanks you insert the answer you got..

Answer:

19.5+24+7.5=51

19.5+7.5+24=51

19.5+24+7.5=51

Answer:

Step-by-step explanation:

The area = 252 in²

One side = 14 in

The other side = x

The area of a rectangle is a product of 2 sides

Answer:

Step-by-step explanation:

Area of a rectangular canvas = base x height (A = b*h)

where A = 252 in²

           b = 14 in

find:  height (h)

solution:

just plugin the values into the formula:

252 = 14 * h

h = 252 / 14

h = 18 in

Answer:

2/5

Step-by-step explanation:

If you take 5/7//9+82+23=2-5

Answer: x = 24

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Remove parentheses.

12 (2 − 2) + 32 = [tex]x[/tex] + 6 + 2

Step 2: Simplify 2 − 2 to 0.

12 × 0 + 32 = [tex]x[/tex]  + 6 + 2

Step 3: Simplify 12 × 0 to 0.

0 + 32 = [tex]x[/tex] +  6 + 2

Step 4: Simplify 0 + 32 to 32.

32 = [tex]x[/tex] + 6 + 2

Step 5: [tex]x[/tex] + 6 + 2 to [tex]x[/tex] + 8.

32 = [tex]x[/tex] + 8

Step 6: Subtract 8 from both sides.

32 − 8 = [tex]x[/tex]

Step 7: Simplify 32 − 8 to 24.

24 = [tex]x[/tex]

Step 8: Switch sides.

[tex]x[/tex] = 24

~I hope I helped you! :)~

FALSE

7Y= 1 --> Y= ⅐ NOT 7

so it can't be it's solution

Answer:

Step-by-step explanation:

A