The height of a triangle is 4 in. Greater than twice the base. The area of the triangle is no more than 168in^2. Which inequality can be used to find the possible lengths, x, of the base of the triangle

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Range=20

Median=15

Step by step explanation:

Solution,

Given data=12,13,19,16,32,15,13

Highest score=32

lowest score=12

a. Range= highest score- lowest score

= 32-12

= 20

B. Arranging the data in ascending order

= 12,13,13,15,16,19,32

N( total number of items)= 7

Median= (N+1/2)th item

=(7+1/2) th item

= (8/2) th item

= 4 th item

Median = 15

Hope it helps

Good luck on your assignment

_________________________________

Answer:  2, 6

Step-by-step explanation:

Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.

RS + ST > RT    and     RS + RT > ST     and     ST + RT > RS

2x + 4x > 12                  2x + 12 > 4x                  4x + 12  > 2x

       6x > 12                          12 > 2x                          12  > -2x

         x > 2                            6 > x                             -6 < x

         2 < x                             x < 6                             invalid

Answer:  2 < x < 6      

Graph:     O----------------------O

                2                          6

 Note: -6 is invalid because you cannot have a negative length.                     

Answer:

see attachments

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

x=(-2)

2(-2) +3

-4 +3

= -1 .

Answer:

121

Step-by-step explanation:

5x-54=3x+16

5x-3x=16+54

2x=70

x=35

-------

mAB= 5x-54= 5*35-54= 175-54= 121

360÷20 = 18sides

U divide 360 by 20 because angles at the center add up to 360°

The given polygon will have 18 sides in total.

Given information:

The diagram shows part of a regular polygon.

The sides of this polygon subtend angles of 20° at the center of the polygon.

Let the polygon has n number of sides.

Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.

The sum of angles made by all the sides will be equal to 360 degrees.

So, the number of sides n can be calculated as,

[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]

Therefore, the given polygon will have 18 sides in total.

For more details, refer to the link:

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Answer:

5

Step-by-step explanation:

in math we can write as this

[tex] \frac{4}{x + 7} = \frac{3}{x + 4} [/tex]

4(x+4)= 3(x+7)

4x + 16 = 3x + 21

4x - 3x = 21 - 16

x = 5

Answer:

x=5

Step-by-step explanation:

You can approach this question in many different ways, but i'm gonna look at it algebraically, since it's the quickest and works pretty much all the time.

First, you want to convert the words they've given you and make it into a less confusing equation.

They told us that 4 divided by (x+7) = 3 divided by (x+4), which is the same as:

[tex]\frac{4}{x+7}[/tex] = [tex]\frac{3}{x+4}[/tex]

Now, we can multiply both sides by (x+7), which gives me:

4 = [tex]\frac{3(x+7)}{x+4}[/tex]

Now we can multiply both sides by (x+4), to get rid of the fractions:

4(x+4) = 3(x+7)

Then expand the brackets:

4x + 16 = 3x + 21

Move the x to one side and numbers to another side:

4x - 3x = 21 - 16

x = 5

Hope that helped : )

Answer:

24

Step-by-step explanation:

4a+2b= 86 cm

a²+b²= 386 cm²

a+b=?

----------

b²= 386- a², b= 43- 2a

solving quadratic equation we get

a=19 - integer solution

b= 43-2*19= 5

a+b=19+5=24

Answer:

C

Step-by-step explanation:

[tex]y=(2x-3)/5[/tex]

[tex]5y=2x-3[/tex]

[tex](5y+3)/2=x[/tex]

[tex](5x+3)/2=y[/tex]

[tex]f^{-1}(x)=(5x+3)/2[/tex]

Answer:

x=2

Step-by-step explanation:

3x+2=8

Subtract 2 from both sides

3x=6

Divide 3 from both sides

x=2

Answer:

2. 13

Step-by-step explanation:

The least number of classes need for all of the students to be registered in a class is 13 since you want all of the stuednts to be registered so no one should be left out. If we do 12*12 (12 students in each class and there are 12 classes), that would only let 144 students take the swimming classes and 8 students would be left out. We don't want that though since we want all of the students to be registered. So let's go to 12*13 (12 students in each class and  there are 13 classes), that would let 156 students take the swimming class. 156>152 so therefore, 13 classes would allow for all 152 students to be registered and it is the least number of classes needed for all the students to be registered in a class (plus you would have 4 seats left for anyone who wants to register in the future but the remainder doesn't matter).  

Answer:

Step-by-step explanation:

x+y≥ 10

2x+3y≤24

Answer:

x+y≥ 10

2x+3y≤24

Step-by-step explanation:

Answer:

Yes, True

Step-by-step explanation:

The reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself

Answer:

a hexagon

Step-by-step explanation:please make me a brainy

Answer:

20

Step-by-step explanation:

AB= √5²+10²=√125

AN= √(5+x)²-125= √x²+10x-100

AB*AN= 10*(x+5)  - both sides represent the area of the triangle

Answer:

the number is 10

Step-by-step explanation:

3x + 10 = 6x-20

20+10=6x-3x

30=3x

x=10

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Three times a number increased by ten equal to twenty less than six times a number. Let the number be [tex]x[/tex].

[tex]3x + 10 = 6x-20[/tex]

Add [tex]-6x[/tex] and [tex]-10[/tex] on both sides.

[tex]3x-6x = -20-10[/tex]

[tex]-3x=-30[/tex]

Cancel the negative signs on both sides.

[tex]3x=30[/tex]

Divide [tex]3[/tex] on both sides.

[tex]x=30/3[/tex]

[tex]x=10[/tex]

Answer:

5.64 i think

Step-by-step explanation:

Answer:

Macy’s

Step-by-step explanation:

let’s find the cost of each shirt

JCPenny’s: 14.99 x 0.80 = $11.99

                   11.99 x 1.06 = $12.70

                   The final cost of the JCPenny shirt is $12.70

Macy’s: 17.99 x 0.65 = $11.69

             11.69 x 1.07 = $12.51

             The final cost of the Macy’s shirt is $12.51

$12.51 is less than $12.70

So, the Macy’s shirt is the better deal :)

Answer:

Look up how  to find volume and you'll get the answer right away

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

x + y - 6= 0

x- y = 0

Add the two equations together

x + y - 6= 0

x- y = 0

-------------------

2x - 6 = 0

Add 6 to each side

2x-6+6 = 0

2x = 6

Divide by 2

2x/2 = 6/2

x = 3

Now find y

x-y = 0

3 - y = 0

y = 3

Answer:

Step-by-step explanation:

y=6-x first equation

y=x for the second

Answer: the  answer is -0.04 ,1 ,-0.04 ,loss of 0.04 gallons of fuel for every 1 mile

Step-by-step explanation:

From the given table we can noticed that the fuel remaining (gallons) decreases as distance (miles).

It is clear that the distance increases by 1 mile for each next row and the remaining fuel is changed for each next row

The change in fuel remaining from one row to the next in the table is -0.04 gallons.

1) The change in fuel remaining from one row to the next in the table is -0.04 gallons.

2) The change in distance from one row to the next in the table is 1 mile.

3) The slope of the line that runs through the points given in the table is -0.04.

4) The slope is -0.04 it means the remaining fuel decreases by 0.04 gallons in each mile.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

From the given table we can noticed that the fuel remaining (gallons) decreases as distance (miles).

Hence, It is clear that the distance increases by 1 mile for each next row and the remaining fuel is changed for each next row is,

⇒ 13.46 - 13.50

⇒ - 0.04

Thus, The change in fuel remaining from one row to the next in the table is -0.04 gallons.

And, The change in distance from one row to the next in the table is 1 mile.

Hence, The slope is the rate of change of remaining fuel with respect to change in distance is,

⇒ m = - 0.04/1

⇒ m = - 0.04

Thus, The slope of the line that runs through the points given in the table is -0.04.

And, The slope indicates a Change in the fuel remaining in each mile. The slope is -0.04 it means the remaining fuel decreases by 0.04 gallons in each mile.

Learn more about the mathematical expression visit:

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Answer:

y = -319/20| x = 377/20

Step-by-step explanation:

/| 7/2-x-y-(3/5) = 0| -11*x-(13*y) = 0

We try to solve the equation: 7/2-x-y-(3/5) = 0

29/10-x-y = 0 // - 29/10-x

-y = -(29/10-x) // * -1

y = 29/10-x

We insert the solution into one of the initial equations of our system of equations

We get a system of equations:

/| -(13*(29/10-x))-11*x = 0| y = 29/10-x

-1*13*(29/10-x)-11*x = 0

2*x-377/10 = 0

2*x-377/10 = 0 // + 377/10

2*x = 377/10 // : 2

x = 377/10/2

x = 377/20

We insert the solution into one of the initial equations of our system of equations

For y = 29/10-x:  

y = 29/10-377/20

y = -319/20

We get a system of equations:

/| y = -319/20| x = 377/20

Answer:

- 8/5

Step-by-step explanation:

A line has x-intercept -8 and y-intercept 5.

It means the line has passes through:

Slope as per slope formula:

Perpendicular lines have slopes negative reciprocal to each other

So the slope of the perpendicular line is:

Answer:

simplified expression for √x^2+6x+9 if x≥3

is x+3

Step-by-step explanation:

[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]

but given that x≥3

then we have to negate solution -(x+3)\

Then simplified expression for √x^2+6x+9 if x≥3

is x+3

Answer:

2

Step-by-step explanation:

the - means you have to subtract to add. so subtract 3 over 4 and you get 2

Answer:

s = 1.17, -23.17

Step-by-step explanation:

s^2 + 22s = 27

Take the coefficient of s

22

Divide by 2

22/2 =11

Square it

11^2 =121

Add this to both sides

s^2 + 22s+121 = 27+121

s^2 + 22s+121  = 148

(s+11)^2 = 148

Take the square root of each side

sqrt((s+11)^2) = ±sqrt(148)

s+11 =  ±sqrt(148)

Subtract 11 from each side

s+11-11 = -11  ±sqrt(148)

s =  -11  ±sqrt(148)

s = -11 + sqrt(148) = 1.1655

   - 11 - sqrt(148)=-23.166

Rounding to the nearest hundredth

s = 1.17, -23.17

Answer:

12/13

Step-by-step explanation:

The probability of not drawing an ace is =

1 minus the probability of drawing an ace.

there are 4 aces in a deck

hence the probability of not drawing an ace =

1 - [tex]\frac{4}{52}[/tex]

= 48/52 = 12/13

The required probability of not drawing an ace would be 12/13.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

You draw a card from a standard deck of 52 playing cards.

The probability of not drawing an ace is P(E)

There are 4 aces in a deck

So the number of favorable outcomes n(E)= 4

And the total number of outcomes n(S) = 52

Thus, the probability of drawing an ace = n(E)/n(S) = 4 / 52

The probability of not drawing an ace will be:

⇒ P(E) = 1 - n(E)/n(S)

⇒ P(E) = 1 - 4 / 52

⇒ P(E) = 48/52

⇒ P(E) = 12/13

Therefore, the required probability of not drawing an ace would be 12/13.

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Answer:

The value of x is 13.5 units.

Step-by-step explanation:

You can also apply this formula :

[tex] \frac{a}{ \sin(A) } = \frac{b}{ \sin(B)} = \frac{c}{ \sin(C) } [/tex]

So for this question :

[tex] \frac{x}{ \sin(34) } = \frac{11}{ \sin(27) } [/tex]

[tex]x = \frac{11}{ \sin(27) } \times \sin(34) [/tex]

[tex]x = 13.5 \: units \: (near.tenth)[/tex]

Answer:

A

d = 2

Step-by-step explanation:

Formula

l = a + (n - 1)d

Givens

n = 10

a = - 5

l = 13

Solution

13 = - 5 + (10 - 1)d       Substitute

13+5 = -5+5 + 9d       Add 5 to both sides

18 = 9d                      Divide by 9

18/9 = 9/d

d = 2

Answer:

D

Step-by-step explanation:

B needs to be 0 or else there is an extra constant term which makes the equation non proportional