JK = 7x + 9
JL = 114, and
KL = 9x + 9,
Find KL.

Answer:

BC= 9cm

Step-by-step explanation:

a^2 + b^2 = c^2

The slanted side of the triangle is always going to be 'c' because it is the longest side of the triangle.

I got these numbers because 12^2= 144 and 15^2= 225

Answer: £4.20

Each 2 of pencils is £4.20 multiply that by 3 your get 12.60, the notebook is the same price of 2 pencils so that must mean it is £4.20

4.20 x 4 = 16.80

3 £4.2 from the 6 pencils

and 1 £4.2 from the notebook

Hope this helps!

The required cost of a notebook would be an amount of £4.20.

The equation is defined as mathematical assertions that have a minimum of two terms containing variables or numbers that are equal.

Let's assume that n is the cost of a notebook, p is the cost of a pencil, and b is the total bill.

We know that the notebook costs the same as two pencils, so we can write this as an equation:

n = 2 × p

We also know that Petra's bill is £16.80, so we can write this as an equation:

b = n + 6 × p

Substituting the first equation into the second equation, we get:

b = n + 6 × p

b = (2 × p) + 6 × p

b = 8 × p

We can now solve for p by dividing both sides of the equation by 8:

p = b / 8

p = £16.80 / 8

p = £2.10

Since the notebook costs the same as two pencils, we can now solve for n by substituting the value of p into the first equation:

n = 2 × p

n = 2 × £2.10

n = £4.20

Therefore, the cost of a notebook is £4.20.

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Answer:

complex solutions:  x = -7 ± i√2

Step-by-step explanation:

[tex]-2x^2-28x-102=0\\{}\qquad\qquad^{\div(-2)}\qquad\ \ ^{\div(-2)}\\x^2+14+51=0\quad\implies\quad a=1\,,\ b=14\,,\ c=51\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-14\pm\sqrt{14^2-4\cdot1\cdot51}}{2\cdot1}=\dfrac{-14\pm\sqrt{196-204}}{2}[/tex]

[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}[/tex]    means NO REAL SOLUTIONS  (as there is no real √[-8])

However in complex numbers we have:[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}=\dfrac{-14\pm2\sqrt{-2}}{2}=\dfrac{2(-7\pm\sqrt{-2})}{2}=-7\pm\sqrt{-2}\\\\\\x_1=-7+i\sqrt2\ ,\qquad x_2=-7-i\sqrt2[/tex]

Answer:

Arrange the data in ascending order

1,1,2,3,4,4,4,5,5,5,5,6,6,7,8,11

n=16

position of median = (n+1)/2 = 17/2 = 8.5 th item

8.5 th item is the average of 8 and 9th item

median = (5+5)/2 = 5

Range = largest value - smallest value

           = 11 -1 = 10

position of Q1=  (n+1)/4 = 17/4 = 4.25 th item

Q1 = 4 + 0.25(5th item - 4th item )

    4 + 0.25(4-3)

= 4.25

position of Q3=  (n+1)/4 = 3*17/4 = 12.75 th item

Q1 = 12 + 0.75(13th item - 12th item )

    12 + 0.75(6-6)

= 12

Step-by-step explanation:

Answer:

-62570000

Step-by-step explanation:

6.257× -10000000

-62570000

Answer:

answe is 1+i

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Answer:

[tex]\large\boxed{1+i}[/tex]

Step-by-step explanation:

[tex]$\frac{4+2i }{3-i} $[/tex]

Factor the numerator

[tex]$\frac{2(2+i) }{3-i} $[/tex]

Multiply both numerator and denominator by the conjugate of the denominator.

[tex]$\frac{2(2+i) }{3-i} \cdot \frac{3+i }{3+i} = \frac{2(2+i)(3+i) }{9-i^2} $[/tex]

Once [tex]i^2=-1[/tex]

[tex]$\frac{2(2+i)(3+i) }{10} $[/tex]

Solving the numerator

[tex]2(2+i)(3+i) = 2(6+2i+3i+i^2) = 2(6+5i-1)=2(5+5i)[/tex]

[tex]$\frac{2(5+5i)}{2 \cdot 5} =\frac{5+5i}{5}=\boxed{1+i} $[/tex]

Answer:

  8.9

Step-by-step explanation:

We know that 81 = 9², so √80 will be slightly less than 9. We can get a pretty good estimate by averaging 9 with 80/9. That result is 8.94, so about 8.9.

The attached graph shows that point on a number line.

Answer:

Yes, many times over.

Step-by-step explanation:

I'm sure there is a typo in the question.

640,000 mg = 0.64 kg

Explanation:

The tickmarks indicate which segments are the same length. On the left side, the single tickmark segments are the same length, and the same can be said about the double tickmarks segments as well. Because of this, the segment x cuts the diagonal sides in half.

The segment x is known as a midsegment of the triangle. It is half as long as the parallel side of 24 units. So x = (1/2)*24 = 12.

Answer:

12 less than or equal to 2

Step-by-step explanation:

The inequality for the given statement is $12 ≤ $2(n).

The equations with inequalities are those who have unequal sides on both sides. Unlike the equation, we compare the two values when we work with inequality. The equal sign is substituted between by being less than (or less than or equal to), larger than (or greater or equal to), or not equal to sign.

As per provided data from the question,

Total money to spent on the ride tickets = $12

Price of each ticket for a ride =$2

So, the inequality will be : $12 ≤ $2(n), here n is the number of rides.

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Answer:

The answer is A

Step-by-step explanation:

If there are 2.2 in 1 kilogram and you are trying to find out how many are in many kilograms then you multiply.

Hopefully this helps you :)

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The expression that represents the pound of weight in x kilogram can be written as 2.2x, where x represents the weight in kilograms.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that there are 2.2 pounds in 1 Kilogram. Therefore, the expression that represents the pound of weight in x kilogram can be written as 2.2x, where x represents the weight in kilograms.

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Answer:

y = -4/5x + 2/5

Step-by-step explanation:

Answer:

y = -0.8x + 0.4 or

y= -4/5x + 2/5

Step-by-step explanation:

Answer: x=6.9

Step-by-step explanation:

In the problem, it is stated that y=65.37. All we have to do is plug that into y and solve for x.

65.37= 8.3x + 8.1                [subtract both sides by 8.1]

57.27=8.3x                          [divide both sides by 8.3]

x=6.9

Now, we know x=6.9.

Answer:

6.9

Step-by-step explanation:

Answer:

15/32 or 0.46875

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

Step-by-step explanation:

y - 3 = -6(x - 4)

y - 3 = -6x + 24

y = -6x + 27

Answer:

(7,-1)

Step-by-step explanation:

Answer:

(7,-1)

Step-by-step explanation:

Midpoint = [(x1+x2)÷2] , [(y1+y2)÷2]

= [(9+5)÷2] , [(-3+1)÷2]

= (7 ,-1)

Answer:

FH = 36 units

Step-by-step explanation:

Points F, G and H are collinear.

Therefore, by joining segments FG and GH we get a segment FH.

FH = FG + GH

By substituting the values of the segments given in the question,

FH = (3x - 1) + (2x + 2)

     = 5x + 1

Since, GH = 16

2x + 2 = 16

2x = 14

x = 7

Therefore, FH = (5x + 1)

                       = 35 + 1

                       = 36 units

Measure of segment FH = 36 units.

Answer:

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Step-by-step explanation:

Answer:

D. 8/4

Step-by-step explanation:

Actually, 8/4 is basically 8 divided by 4, which is 2. And 2 is a whole number not decimal number, so that would be your answer.

The fraction number (8/4) that is equal to the whole number is 2. Then the correct option is D.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

A. The fraction number is given as

[tex]\dfrac{3}{6}[/tex]

And it can be written as

[tex]\dfrac{1}{2}[/tex]

B. The fraction number is given as

[tex]\dfrac{7}{8}[/tex]

C. The fraction number is given as

[tex]\dfrac{10}{4}[/tex]

And it can be written as

[tex]\dfrac{5}{2}[/tex]

D. The fraction number is given as

[tex]\dfrac{8}{4}[/tex]

And it can be written as 2.

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Answer:

yayz fwee pwoints thwank ywuo

Step-by-step explanation:

Answer: [tex]d=\frac{T+N3}{G}[/tex]

Step-by-step explanation:

To solve for d, we want to use algebraic properties to isolate d.

[tex]T=Gd-N3[/tex]            [add both sides by N3]

[tex]T+N3=Gd[/tex]            [divide both sides by G]

[tex]\frac{T+N3}{G} =d[/tex]

[tex]d=\frac{T+N3}{G}[/tex]

Now, we know that [tex]d=\frac{T+N3}{G}[/tex].

Answer:

9/20

Step-by-step explanation:

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Answer:

46

Step-by-step explanation:

50%=0.5

0.5*92=46

Answer:

13

Step-by-step explanation:

-5+5=0

0+8=8

5+8=13

Answer: 13

Step-by-step explanation:

Answer:

The sum of two times a number and six.

or

Two times a number plus six.

Step-by-step explanation:

Step 1: Convert 2a into words

2a = two times a number

Step 2: Convert + 6

+ 6 = the sum of 6 or plus 6

Step 3: Combine to make sentence

The sum of two times a number and six.

Two times a number plus six.

Answer:

305,200

Step-by-step explanation:

Answer:

f ≈ 5

Step-by-step explanation:

Step 1: Write equation

6(2f - 4) = 31

Step 2: Solve for f

Distribute 6: 12f - 24 = 31

Add 24 on both sides: 12f = 55

Divide both sides by 12: f = 55/2

Simplify: f = 4.58333

Round: f ≈ 5

Answer: D- multiply divide both sides by the same variable expression. B- no

Step-by-step explanation:

Multiply/divide both sides by the same variable expression. The correct option is D.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

5x = 3x

Multiply both sides of the expression by (1/x ).

( 1/x ) 5x = ( 1/x )3x

5 = 3

Divide both sides by x.

5x = 3x

5x /  x = 3x / x

5 = 3

Therefore, multiply/divide both sides by the same variable expression. The correct option is D.

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