In the figure, Z ABC and Z BCD are supplementary angles.

Answer:

Step-by-step explanation:

4 + 5x + x + 2  =  180   {linear pair}

5x + x + 4 + 2 = 180  {Combine like terms}

      6x + 6   = 180  {Subtract 6 form both sides}

              6x = 180 - 6

              6x = 174   {Divide both sides by 6}

                x = 174/6

x = 29

x + 2 = 29 + 2 = 31

5x + 4 = 5*29 + 4 = 145 + 4 = 149

2) 6x + 4 + 32 = 90   {Complementary angles}

           6x + 36 = 90   {Subtract 36 from both sides}

                   6x = 90 - 36

                    6x = 54       {Divide both sides by 6}

                      x = 54/6

x = 9

6x + 4 = 6*9 + 4 = 54 + 4 = 58

Answer:

2 < x < 5

Step-by-step explanation:

In a triangle a side must be major than the difference of the other two and minor of the sum of the other two

7-5 = 2

7+5 = 12

in the figure we can see that x is the smallest side

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

FOIL

first  3*3 = 9

outer 3*2i = 6i

inner -2i*3 = -6i

last  -2i * 2i = -4i^2 = -4(-1) =4

Add together

9+6i-6i+4 = 13

Answer:

both of those lines intersect each other and are equal lines

Step-by-step explanation:

Answer:

A( multiply both sides by 6)

As seen , the L.C.M is 6 so to do away with the fractional form, we will multiply by 6

Answer:

P(48<x<52) = 0.2881

Step-by-step explanation:

P(48<x<52) = normalcdf(lower,upper,µ,σ) = normalcdf(48,52,48,5) ≈ 0.2881

Therefore, the probability that a data value is between 48 and 52 is 0.2881, or about a 28.81% chance of occurrence.

Answer:

1/3

Step-by-step explanation:

Does the spinner only have these 3 sections?

If so, the probability of spinning an odd number is 1/3. There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).

The P(odd) is the probability of spinning an odd number that would be equal to 1/3.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

You spin the spinner once.

6, 7, 8

There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).

So, the probability of spinning an odd number = 1/3.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Answer:

(w−12)(w+2)

Step-by-step explanation:

Step-by-step explanation:

w²-10w-24

(w²-12w)+(2w-24)

w(w-12)+2(w-12)

(w-12)(w+2)

Answer:

my answer is in this picture

Answer:

-25

Step-by-step explanation:

Let h = -3.

[tex](8(-3)-1)-(-3+3)\\(-24-1)-(-3+3)\\-25-0\\-25[/tex]

Answer:

y = -1

Step-by-step explanation:

y - ( - 9) = 8

y + 9 = 8

y = 8 - 9

y = -1

- ( - turns to + because you are subtracting a negative number

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

y = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

y - (-9) = 8

Step 2: Solve for y

Answer:

126

Step-by-step explanation:

to find x one would need to 147 - 21 which results to 126

Answer:

15x + 10

Step-by-step explanation:

5(3x + 2)

15x + 10

Answer:

y = 2

Step-by-step explanation:

6y - 2(y + 1) = 3(y - 2) + 6

6y - 2y - 2 = 3y - 6 + 6

6y - 2y - 2 = 3y

4y - 2 = 3y

4y - 2 + 2 = 3y + 2

4y = 3y + 2

4y - 3y = 3y - 3y + 2

y = 2

Answer:

.82

Step-by-step explanation:

45.75 x .018=.82

the answer is in the picture

Answer:

zero

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

6x + 4 + 73 + 73 = 180

6x + 150 = 180

6x = 30

x = 5

Those little marks on AB and BC denote congruence. That makes the triangle isoceles. That means the base angles are equal. Both 73.

Triangle Sum Theory states all angles of a triangle add to 180.

Answer:

11.8in^3

Step-by-step explanation:

i just had it

Answer:

10 blocks.

Step-by-step explanation:

Find the unit rate.

[tex]\frac{28}{4}=\frac{7}{1}=\frac{70}{10}[/tex]

Therefore, 10 blocks weigh 70 ounces.

Answer:

y=31x/15 < y=27x/13 < y=15x/7 < y=13x/6 < y=11x/5 < y=21x/9 (=7x/3) < y=19x/8

Step-by-step explanation:

since all equations base on a linear, simple expression of x, we can simply compare the fractions.

in general, the bigger the number at the bottom, the smaller the individual fraction. that is our first indicator.

we then notice that many fractions represent the value of 2 plus one fraction.

31/15 = 2 1/15

27/13 = 2 1/13

15/7 = 2 1/7

13/6 = 2 1/6

11/5 = 2 1/5

the only exceptions are 21/9 and 19/8

but 21/9 is actually 7/3 = 2 1/3

and fits therefore into the list above.

that leaves 19/8 = 2 3/8.

the list above can be sorted based on the single fraction at the end (remember, the bigger the number at the bottom, the smaller the value). so, from least to greatest :

2 1/15 (31/15)

2 1/13 (27/13)

2 1/7 (15/7)

2 1/6 (13/6)

2 1/5 (11/5)

2 1/3 (7/3 = 21/9)

where did now 2 3/8 fit in ?

well, 3/8 is almost 1/2 (so, relatively big), and we start our comparison with the biggest number in the list so far :

1/3 (from 2 1/3).

what is bigger - 1/3 or 3/8 ?

let's find the smallest number that can be divided by 3 and by 8. that would be 24. so now we bring both fractions to the same base of 24.

1/3 = 8/24

3/8 = 9/24

=> 3/8 > 1/3

and therefore, 19/8 is the largest value and at the end of the list.

9514 1404 393

Answer:

  15.8

Step-by-step explanation:

The distance formula is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

so the distance from A to B is ...

  AB = √((-1-5)^2 +(1-(-1))^2) = √((-6)^2 +2^2) = √40 ≈ 6.3

Lengths BC and CA are similarly computed. (A spreadsheet does this nicely.)

The perimeter is the sum of the side lengths. It is ...

  P = AB +BC +CA

  P = 6.3 + 4.1 + 5.4

  P = 15.8

The perimeter of ∆ABC is 15.8 units.

Answer:

Two angles can be vertical and supplementary only if they add up to 90 degrees because there perpendicular.

Step-by-step explanation:

Answer:

90 + 90 = 180, 45 + 45 = 90

Step-by-step explanation:

Supplementary angles add up to 180 and to be vertical angles they need to be equal to each other so 2x = 180

x = 90

Hence both angles will be equal to 90

Complementary angles add up to 90 and as previously stated, to be vertical angles they need to be equal to each other so 2x = 90

x = 45

Hence both angles equal to 45

Hope this helped!

Answer:

yes

the sum of the squares of the width and length is equal to the square of the diagonal

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

24^2 + 70^ = 576 + 4900 = 5476

square root = 74

Answer:

14 by 32.5

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

First is 6 x 3 which is 18 then take away 5 so it would be 13 and + 21/3 is basically a seven so its 20