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Points J, K and L are collinear with J between L and K.  If KJ = 2x - 3, LK = 9x + 7 and LJ = 4x - 8,  solve for x:

Answer:

The value of x is -6 ⇒ B

Step-by-step explanation:

∵ J, K, and L are collinear

→ That means they form a straight segment

∵ J is between K and L

→ That means J divides LK into two segments KJ and LJ

∴ LK = KJ + LJ

∵ LK = 9x + 7

∵ KJ = 2x - 3

∵ LJ = 4x - 8

→ Substitute them in the equation above

∴ 9x + 7 = (2x - 3) + (4x - 8)

→ Add the like terms in the right side

∵ 9x + 7 = (2x + 4x) + (-3 - 8)

∴ 9x + 7 = 6x + -11

∴ 9x + 7 = 6x - 11

→ Subtract 7 from both sides

∵ 9x + 7 - 7 = 6x - 11 - 7

∴ 9x = 6x - 18

→ Subtract 6x from both sides

∵ 9x - 6x = 6x - 6x - 18

∴ 3x = -18

→ Divide both sides by 3

∵ [tex]\frac{3x}{3}=\frac{-18}{3}[/tex]

∴ x = -6

∴ The value of x is -6

The value of x for the given problem comes to be -6.

KJ = 2x-3

LJ= 4x-8

LK = 9x+7

Points that are part of a straight line are called collinear points.

Points J, K, and L are collinear so they will be in a straight line.

So, KJ + LJ = LK

(2x-3) + (4x-8) = (9x +7)

6x - 11 = 9x + 7

-3x = 18

x= -6

Therefore, the value of x for the given problem comes to be -6.

To get more about lines and points visit:

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Answer:

It will be 3 :)

Step-by-step explanation:

Try using desmos calculator when it comes to math ;)

Answer:

56.25 ft

Step-by-step explanation:

If it is a square room, it will have four walls so...

We divide 225 by 4 and get 56.25

Hope this helped!

Answer:

109

Step-by-step explanation:

alternate exterior angles

Answer:

After she distribute the [tex]x[/tex] and [tex]-1[/tex] by [tex]-5[/tex], the after you get [tex]-5x - 5 > -7x + 19[/tex], she put a negative [tex]5[/tex] instead of a positive [tex]5[/tex], and would be written as[tex]-5x + 5 > -7x + 19[/tex].

Step-by-step explanation:

Solve the inequality for the correct solution:

[tex]-5(x - 1) > -7x + 19[/tex]

-Use Distributive Property:

[tex]-5(x - 1) > -7x + 19[/tex]

[tex]-5x + 5 > -7x + 19[/tex]

-Take [tex]7x[/tex] and add it to [tex]-5x[/tex]:

[tex]-5x + 5 + 7x > -7x + 7x + 19[/tex]

[tex]2x + 5 > 19[/tex]

-Subtract [tex]5[/tex] to both sides:

[tex]2x + 5 - 5 > 19 - 5[/tex]

[tex]2x > 14[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} > \frac{14}{2}[/tex]

[tex]\boxed {x > 7}[/tex]

Answer:

f(-1) = 8

Step-by-step explanation:

Step 1: Define

f(x) = -6x + 2

f(-1) is x = -1

Step 2: Substitute and Evaluate

f(-1) = -6(-1) + 2

f(-1) = 6 + 2

f(-1) = 8

Answer:

8

Step-by-step explanation:

Substitute -1 for x

-6(-1) + 2

Simplify

6+2

Simplify

8

Answer:

$2

Step-by-step explanation:

if you divide 10 by 5 you get 2

Answer:

Each vase would cost 2$. 10 divided by 5 is 2 therefore each vase is 2$.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y = 5x

check your work by plugging in the values

y = 5(1)

y = 5 yes

y = 5(2)

y = 10 yes

y = 5(3)

y = 15 yes

y = 5(4)

y = 20 yes

Answer:

-1

Step-by-step explanation:

The slope goes down 1 as it goes over (to the right) 1

Answer:

-1 would be the slope.

Step-by-step explanation:

Using rise over run, the slope would be -1.

Answer: 16

Step-by-step explanation: The angles are equal so x+24 = 3x-8

slope = (y2-y1)/(x1-x2)

=(20-8)/(2-1)

=12/1

m = 12

The slope of the given function is 12.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

In this case, we are given three points:

Point 1: (x = 1, y = 8)

Point 2: (x = 2, y = 20)

Point 3: (x = 3, y = 32)

The slope of the function is calculated by the formula given as;

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope =(20-8)/(2-1)

=12/1

Slope  = 12

The slope is 12.

To know more about slopes ;

brainly.com/question/3493733

#SPJ6

Answer:

6 and 7

Step-by-step explanation:

The square root of 41 is about 6.403

6 and 7 are the closest whole numbers

Answer:

-15

Step-by-step explanation:

Note the rules when multiplying or dividing numbers with signs.

IF:

1) You are multiplying or dividing with two negative numbers, your answer will be positive.

2) You are multiplying or dividing with one negative and one positive number, your answer will be negative.

3) You are multiplying or dividing with two positive numbers, your answer will be positive.

Note that there is one negative term (-1) and one positive term (15). Multiply. Follow rule 2:

15 x -1 = -15

-15 is your answer.

~

Answer:

x = -15/2

Step-by-step explanation:

Combine the expressions and isolate the variable x.

Answer:

x = 33

Step-by-step explanation:

The sum of a quadrilateral adds up to 360°.

Step 1: Set up equation

98 + 98 + 98 + 2x = 360

Step 2: Solve for x

Answer:

C

Step-by-step explanation:

The middle of the plot falls at 9, making this statement true. None of the others make sense. Good luck!

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5 + 5 + 5 + 5 + 5 aka 5 × 5 = 25

Answer:

x2 – 2x + 6

Step-by-step explanation:

Answer:

x2 – 2x + 6

Step-by-step explanation:

Answer:

Divide both sides by 4

Step-by-step explanation:

Answer:

i just took the test and it was divide by 4 sides

Step-by-step explanation:

Answer:

$84.60

Step-by-step explanation:

Multiply, since Bryon bought 3.6 cubic yards of soil and each cubic of yard cost $23.50. 3.6 x 23.50 = 84.6

Answer:  x=10

Step-by-step explanation:

Simplifying

3x + 15 = 45

Reorder the terms:

15 + 3x = 45

Solving

15 + 3x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + 3x = 45 + -15

Combine like terms: 15 + -15 = 0

0 + 3x = 45 + -15

3x = 45 + -15

Combine like terms: 45 + -15 = 30

3x = 30

Divide each side by '3'.

x = 10

Simplifying

x = 10

Answer:

Step-by-step explanation:

.

Answer:

-.3

We were just learning these :)

Step-by-step explanation:

So let's start with the whole equation:

10 - 4x + 6 - 2x = -2x

First, combine like terms:

16 - 6x = -2x

Next, add 16 to both sides:

16 + 16 = cancels out and -2x + 16 = 14

6x = -2x

Now, divide 6 on both sides:

6 / 6 = cancels out and -2x / 6 = -.3

x = -.3

Really hope this is right!

Answer:

Step-by-step explanation:

Let the number of months be x

Alligator 1 weight = 4 + 2x

Alligator 2 weight = 8 + x

The answer is 4 months

Answer:

760 kids feel more focused

Step-by-step explanation:

multiply 950 by 80% or .80 (they're the same thing if you didn't know)

hope this helps :)

Answer:

137 degrees

Step-by-step explanation:

so you have the degrees of both angles, now all you need to do is add them

Answer:

$93.36

Step-by-step explanation:

First subtract 40 from 100 to find how much of the total cost is left. Then multiply 60% or .6 by the total to get your answer. Hope this helps!

Answer:

$93.36

Step-by-step explanation:

Answer:

The answer to that problem would be 116 degrees.

Step-by-step explanation:

Since Angles JKM and MKL are adjacent angles, they add up to the measure of Angle JKL. To figure out the angle measure of JKM, you subtract 39 (the measure Angle MKL) from 155 (the measure of JKL). Hopefully, this helps :).

Answer:

L=5

w=3

Step-by-step explanation:

Length = 3x+4

2L+2W=16

plug in 3x+4 into L

2(3x+4)+2x=16

6x-8+2x=16

6x+2x=16+8

then just do basic algebra

8x=24

divide 24/8

x=3 is the width

5 is the length

L=5

w=3