Three angles in a quadrilateral measure 58°, 77°, and 116°. What is the measure of the fourth angle?

Answer:

A- (-2,-2)

Step-by-step explanation:

If we move the point 3 right, then we add 3 to the x-coordinate and get -2. If we move down 4, we are subtracting 4 from y-coordinate and get -2. So, our coordinate would be (-2,-2).

Hope this helped.

Step-by-step explanation:

divide by 2 then reverse

Answer:

Leorio, Gon, Killua, Kurapika, Hisoka, and Ging

Step-by-step explanation

Answer:

It's 21976 Gon! >:3

well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3

Step-by-step explanation:

:3

Answer:

$160

Step-by-step explanation:

Let the original cost of suit be x

If the suits were sold for $72 each and this price was 45% of a suit's original price, then;

72 = 45% of x

72 = 0.45x

x = 72/0.45

x = 160

Hence the original price of the suit is $160

Answer:

160

Step-by-step explanation:

got it correct ig lol

Answer:

4:120, 6:180, 8:240

each time it's 30 x the amount of bags, it's 30 pounds a bag

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

just subtract the powers of 10 and 8.

Answer:

4 2/3

Step-by-step explanation:

Any negatives in absolute value signs can be turned positive because it is the same distance from 0 in the number line. (right or left, but in this case, the distance is ALWAYS positive)

Answer: -11/2

Step-by-step explanation:

Answer:

50p

Step-by-step explanation:

you can add them all up together. 27+3+6+14=50!

Answer:

9 days

Step-by-step explanation:

Day 1 20 min

Day 2 20 min

Day 3 30 min

Day 4 30min

Day 5 40 min

Day 6 40 min

Day 7 50 min

Day 8 50 min

Day 9 60 min

Answer:

$27

Step-by-step explanation:

0.50 * 60 = 30

60 + 30 = 90

0.30 * 90 = 27

Answer:

x=107/2, y=-40. (107/2, -40).

Step-by-step explanation:

y=-31-9=-40

2x+3(-40)=-13

2x-120=-13

2x=-13+120

2x=107

x=107/2

Answer:

m <5 = 65°

m<8 = 115°

Step-by-step explanation:

m<2= m<5 = 65° (vertically opposite angles are equal)

m<5 + m<4 = 180 (co-int angles, parallel lines)

65+ m<4 =180

m<4 = 115°

Therefore

m<4=m<8 = 115° (vertically opposite angles are equal)

Answer:

m<5 = 65 degrees  m<8 = 115 degrees

Step-by-step explanation:

m<2 = 65 degrees

m<2 = m<5 so

m<5 = 65 degrees

A line is 180 degrees, so

180 degrees - 65 degrees = 115 degrees

m<8 = 115 degrees

Answer:

the process of being eroded by natural agents such as wind, water, ice, etc.

this process moves sediment or material from one place to another

Step-by-step explanation:

Actual distance = distance on map x the scale:

3 inches x 15 miles per inch = 45 actual miles.

A company makes muesli which contains nuts and sultanas.

They counted the number of nuts in 50 individual serving packets.

They drew a table.

Number     Midpoint   Number of            

of nuts         (x)           packets (f)              f.x  

4 - 6               5                3                      15

7-9                 8                9                          

10 - 12           11                 12                      

13 - 15            14                17                          

16 - 18            17                 9                    

                                     50                    

To Find :

complete the table

calculate and estimate for the mean

The estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.

a) To complete the table, we need to find the values of "fx" (frequency multiplied by the midpoint) for each class interval. Here's the updated table:

Number of Nuts Number of Packets Midpoint (x) fx

4-6 5 5 5 * 3 = 15

7-9 8 8 8 * 9 = 72

10 - 12 11 11 11 * 12 = 132

13 - 15 14 14 14 * 17 = 238

16 - 18 17 17 17 * 9 = 153

Total 50  610

b) To calculate an estimate for the mean, we use the formula:

Mean = Sum of (fx) / Total Number of Packets

Mean = 610 / 50

Mean ≈ 12.2

Therefore, the estimate for the mean number of nuts in a serving packet of muesli is approximately 12.2 nuts.

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Answer:

192

Step-by-step explanation:

8²+x²=16²

x=y

[tex]x = \sqrt{192} [/tex]

Answer:

P=28

Step-by-step explanation:

a=bh

24= 12x

24 divided by 12=2

12 +2+12+2= 28

Answer:

39

Step-by-step explanation:

3(6+7)

=18+21

=39

or

3(6+7)

=3(13)

=39

Answer:

15.13

Step-by-step explanation:

To find diameter, divide circumference by pi or 3.14

I'm going to change the fraction to a decimal, so 47.5

47.5/3.14 = 15.1273885

Round to nearest hundredth gives you 15.13

Answer:

X=7 X=-1

Step-by-step explanation:

4(x^2 -6x -7) you saw that the common denominator was 4 so you divided everything by it.

(X-7)(X+1) Two numbers that multiplied give-7 and added -6 are those

X=7 X=1 equating those parenthesis to 0 gives you that

Answer:

add the numbers first and divide to 3x

Answer:

73.67

Step-by-step explanation:

Answer:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    7/n-(8/7)=0

Step by step solution :

STEP 1:

           8

Simplify   —

           7

The equation at the end of step

1:

 7    8

 — -  —  = 0

 n    7

STEP 2:

           7

Simplify   —

           n

The equation at the end of step

2:

 7    8

 — -  —  = 0

 n    7

STEP 3:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       n

     The right denominator is :       7

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

7 0 1 1

Product of all

Prime Factors  1 7 7

                 Number of times each Algebraic Factor

           appears in the factorization of:

   Algebraic    

   Factor      Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

n  1 0 1

     Least Common Multiple:

     7n

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Denominator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 7

  Right_M = L.C.M / R_Deno = n

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      7 • 7

  ——————————————————  =   —————

        L.C.M              7n  

  R. Mult. • R. Num.      8 • n

  ——————————————————  =   —————

        L.C.M              7n  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7 • 7 - (8 • n)     49 - 8n

———————————————  =  ———————

      7n              7n  

The equation at the end of step

3

:

 49 - 8n

 ———————  = 0

   7n  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.

Here's how:

 49-8n

 ————— • 7n = 0 • 7n

  7n  

Now, on the left-hand side, the  7n  cancels out the denominator, while, on the right-hand side, zero times anything is still zero.

The equation now takes the shape :

  49-8n  = 0

Solving a Single Variable Equation:

4.2      Solve  :    -8n+49 = 0

Subtract  49  from both sides of the equation :

                     -8n = -49

Multiply both sides of the equation by (-1) :  8n = 49

Divide both sides of the equation by 8:

                    n = 49/8 = 6.125

One solution was found :

n = 49/8 = 6.125

Step-by-step explanation:

hope this helps...

The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

"It is a mathematical statement which consists of variables and constants, and some algebraic operations."

"It is a mathematical statement which consists of equal symbol between two mathematical statements."

For given question,

We have been given an equation [tex](7^2)^4=n^8[/tex]

Consider an algebraic expression on the left side of the above equation.

[tex](7^2)^4[/tex]

Using the properties of exponents we can write it as,

[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]

So, given equation becomes,

[tex]7^8=n^8[/tex]

Since power is same, base of above exponents is equal.

⇒ n = 7

Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7

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Answer:

C

Step-by-step explanation:

C will have the least value with -99.

A would be 1/100, which is 0.01, which is small, but larger than -99.

B would be 10/100, which is 0.1, which is larger than A.

C is 1-100, which equals -99.

D is 10-100, which equals -90. -99 is smaller than -90.

Answer:

c) 1 - x

Step-by-step explanation:

x = 100

a) [tex]\frac{1}{x}[/tex] ⇒ [tex]\frac{1}{100}[/tex]

answer ⇒ 0.01

b) [tex]\frac{10}{x}[/tex] ⇒ [tex]\frac{10}{100}[/tex]

answer ⇒ 0.10

c) 1 - x ⇒ 1 - 100

answer ⇒ -99

d) 10 - x ⇒ 10 - 100

answer ⇒ -90

Answer: 47

Step-by-step explanation:

I just worked it out and checked my work with a calculator :)

9514 1404 393

Answer:

Step-by-step explanation:

Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.

The next term is 15.

_____

The sequence of triangular numbers is given by the explicit formula ...

   an = n(n+1)/2

__

Finding the Formula

The sequence of first differences is ...

  3 -1 = 2

  6 -3 = 3

  10 -6 = 4

And the sequence of second differences is ...

  3 -2 = 1

  4 -3 = 1

These are constant, indicating the sequence is described by a polynomial function of 2nd degree.

There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.

n = 1

  a1 = 1 = a(1)^2 +b(1) + c

n = 2

  a2 = 3 = a(2)^2 + b(2) +c

n = 3

  a3 = 6 = a(3)^2 +b(3) +c

To solve, we can subtract each equation from the next:

  a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)

  2 = 3a +b

and

  a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)

  3 = 5a +b

Now we can subtract the first of these equation from the second:

  (3) -(2) = a(5 -3) +b(1 -1)   ⇒   1 = 2a   ⇒   a = 1/2

Then ...

  2 = 3(1/2) +b

  1/2 = b

  1 = a + b + c   ⇒   1 = 1/2 + 1/2 + c   ⇒   c = 0

So, the quadratic function describing the sequence of triangular numbers is ...

  an = (1/2)(n^2 +n)

  an = n(n+1)/2