what does BC equal ?

First divide both sides of the inequality by 3.

On the left, the 3's cancel and you're left with j

and on the right, 6 divided by 3 is 2.

So we have j >2 which is the solution to this inequality.

I have graphed the inequality for you below.

Start with an open dot on 2.

We use an open dot because j > 2 but it is not equal to 2.

Then draw an arrow to the left to

represent all numbers greater than 2.

Answer:

x < 6

Step-by-step explanation:

8x + 6 < 54

Subtract 6 from each side

8x+6-6 < 54-6

8x < 48

Divide each side by 8

8x/8 < 48/8

x < 6

Answer:

5 units

Step-by-step explanation:

see the picture

Answer:

The answer is 5 units

Step-by-step explanation:

Answer:

coin: ball:

1

head -- 6

7

1

tail -- 6

7

The required Sample space = {(h, 1), ( h, 6) (h ,7 ), ( t, 1 ), ( t, 6 ), ( t, 7 )}.

Given that,
There are 3 balls in a hat; one with the number 1 on it, one with the number 6 on it, and one with the number 7 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, To obtain the sample space.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

a coin has 2 sample space = {H , T}
H = head and T = tail
a hat with three balls has sample space {1, 6, 7}
Now, a ball picks from the hat at random and then flips a coin
Sample spaces
              H                    T
      -----------------    ---------------
      1       6      7      1      6    7
Implies
Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}

Thus, the required Sample space = {(h,1), (h,6) (h,7), (t,1), (t,6) (t,7)}.

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Answer:

Answer is x = 15

Answer is given below with explanations.

Step-by-step explanation:

[tex]in \: the \: figure \: BE || CD \\ by \: thales \: theorem \\ \frac{AE}{ED} = \frac{AB}{BC} \\ on \: substituting \: the \: values \: from \: the \: figure \\ \frac{9}{6} = \frac{x}{10} \\ \frac{3}{2} = \frac{x}{10} \\ x = \frac{3 \times 10}{2} \\ x = \frac{30}{2} \\ x =15 \\ [/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer: 12.25 and 20.25

Step-by-step explanation:

20.25 - 12.25 = 8

Square root of 20.25 is 4.5

Square root of 12.25 is 3.5

4.5 - 3.5 = 1

Hope this helped

Answer :

A linear function has a graph in the shape of a line

A non-linear function does not have the same value added to or subtracted from the dependent variable

Step-by-step explanation:

A linear function is any function that graphs to a straight line.

So, The shape of linear graph is straight line .

1) A linear function has a graph in the shape of a ____

Answer : C . Line

Thus A linear function has a graph in the shape of a line

A nonlinear function is a function that is not linear. That is, for a fixed change in the independent variable, there is NOT a corresponding fixed change in the dependent variable

Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line.

2) A non-linear function 2_____ have the same value added to or subtracted from the dependent variable

Answer B : Does not

Thus A non-linear function does not have the same value added to or subtracted from the dependent variable

Answer:

I think it (B) a rectangle prism not to sure tho

Answer:

a₁ = 3

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here [tex]S_{6}[/tex] = 189 and r = 2, thus

[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is

a₁( 64 - 1) = 189

63a₁ = 189 ( divide both sides by 63 )

a₁ = 3

47.5 millimeters longer

The pencil is 47.5 millimeters longer than the crayon.

To find out how many millimeters longer the pencil is than the crayon, we need to convert the length of the pencil from centimeters to millimeters and then subtract the length of the crayon.

Given that length of the pencil = 13.5 centimeters

Length of the crayon = 87.5 millimeters

To convert centimeters to millimeters, we use the conversion factor: 1 centimeter = 10 millimeters.

So, the length of the pencil in millimeters is:

13.5 centimeters × 10 millimeters/centimeter = 135 millimeters

Now we can calculate the difference in length between the pencil and the crayon:

Length of the pencil - Length of the crayon = 135 millimeters - 87.5 millimeters

Subtracting the lengths, we find that the pencil is:

135 millimeters - 87.5 millimeters = 47.5 millimeters longer than the crayon.

Therefore, the pencil is 47.5 millimeters longer than the crayon.

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Answer:

1. 14

2. 1/8

3. 7/8

Step-by-step explanation:

Answer:

the answer is 14.50 cm

Step-by-step explanation:

i took the test, and found this answer by multiplying the given information: 2.93, 2.04, and 2.28 by 2 and then adding them together. that will then give you 14.5. i did it this way because we are dealing with midsegments in this problem. this is just my way of doing it. have a great day!

Answer:

D. 14.50 cm

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

1. Multiply the parenthesis by -10

2. Collect like terms

3. Cancel equal terms

4. You're left with -20=13, which is false. There is no solution.

Answer:

4(x+2)(x-2)

Step-by-step explanation:

4x^2-16

4(x^2-4)

4(x+2)(x-2)

The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2

Answer:

200 miles

Explaination:

in order to fiind the point of interaction you must put the world problem into an liner equation.

y=mx+b

key:

miles : x

y= 0.70x + 120

&

y= 0.90x + 80

now you put them together

0.70x + 120 = 0.90x + 80

-0.70x. -0.70x

____________________ subtract slope from both sides

120 = 0.20x + 80. ( doesn't matter which one)

-80 - 80

____________________ subtract

40 = 0.20x

_________ Divide each # with the slope

0.20 0.20

200 = x

hope this helps!

Answer:

2 and 3 are true

Step-by-step explanation:

1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.

2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.

3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.

4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.

Hope this helps!

Answer:

2 and 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2y²)³=2³×y^6=8y^6

=8×y×y×y×y×y×y

Answer:

Length = 80 metres and Width = 60 metres.

Step-by-step explanation:

Given

Length = 90m

Width = 50m

Required

Dimension of another rectangle with the same perimeter but larger area;

Perimeter of a rectangle is calculated as thus;

[tex]Perimeter = 2(Length + Width)[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Perimeter = 2(90m+ 50m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Area of a rectangle is calculated as thus;

[tex]Area = Length * Width[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Area = 90m * 50m[/tex]

[tex]Area = 4500m^2[/tex]

So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²

Using trial by error method;

Assume length of a rectangle is 80m;

This means the width must be 60m

Calculating the perimeter

[tex]Perimeter = 2(80m+ 60m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Calculating the area

[tex]Area = 80m * 60m[/tex]

[tex]Area = 4800m^2[/tex]

Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.

Length = 80 metres and Width = 60 metres.

Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;

Answer:

D) ΔDEF ≅ ΔGFE

Step-by-step explanation:

For ASA to be used, 2 angles and their included side must be congruent. ∠F ≅ ∠E because of the markings, ∠E ≅ ∠F because all right angles are congruent, and side FE ≅ EF because they are aligned with each other. 2 angles and their included side are congruent.

As for the congruence statement, D is the right answer because ∠D ≅ ∠G, ∠E ≅ F, and ∠F ≅ ∠E.

I hope this helps :))

ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.

Given that,
Two triangles are given with a common side EF whose alternate interior angles are also equal .i.e ∠E = ∠F and also are of 90° in ΔDEF and ΔGFE respectively.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
In ΔDEF and ΔGFE
∠DEF = ∠GFE (both are of  90°)
   EF = EF        (common side)
∠DFE = ∠GEF (alternate interior angle)
Hence  ΔDEF ≅ ΔGFE are congruent by ASA.

Thus, ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.

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Answer: [tex]\sqrt{41}[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(6-2)^2+(8-3)^2} =\sqrt{4^2+5^2}=\sqrt{41}= 6.403124237432849[/tex]

Answer:

a. Yes, the evidence supports the hypothesis

Step-by-step explanation:

The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D

Answer: x<6m+4yt

Step-by-step explanation:

Answer:

x = -8

Step-by-step explanation:

1/4x +2= -5/8x - 5

Add 5/8x to each side

1/4x +5/8x +2= -5/8x+5/8x - 5

1/4x+5/8x +2=  - 5

Subtract 2 from each side

1/4x+5/8x +2-2=  - 5-2

1/4x+5/8x =  - 7

Get a common denominator

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7x * 7/8x = -7 *8/7

x = -8

Answer:

x=-8

Step-by-step explanation:

1/4x+2=-5/8x-5

find l.c.m=8

multiply through by l.c.m which is 8

x/4×8+2×8=-5x/8×8-5×8

2x+16=-5x-40

2x+5x=-40-16

7x=-56

divide both sides by 7

7x/7=-56/7

x=-8

Step-by-step explanation:

If the discount is 35% off. then the new price is 65% of what the old price is. So we multiply 120 x .65 = 78

Answer:

You pay 65% which is $78

Step-by-step explanation:

You'd pay 65% of the original price.

65% of the original price is 78

To do this you multiply 65% by 120

Answer:  The slope is 4/9  or -4/-9.

Step-by-step explanation:

(1,5)  

(10,9)   Find the difference in the y values and divide it by the difference in the x values.

5-9= -4

1- 10= -9

-4/-9= 4/9

so the slope is 4/9  

Using the slope we could also find the y-intercept and write the equation.

5=4/9 (1) + b    where b is the y-intercept

  5= 4/9 + b

-4/9   -4/9

b= 41/9  

Now we will have the equation  y= 4/9 + 41/9

Answer:

-1/2

Step-by-step explanation:

The formula for slope is: y1-y2/x1-x2

The points given are: (x coordinate, y coordinate)

In the formula,

y1 is the y coordinate of the first point

y2 is the y coordinate of the second point

x1 is the x coordinate of the first point

x2 is the x coordinate of the second point

This said, we can plug our points in.

5-(-1)/-3-9

Simplify.

5+1/-12

6/-12

Divide both the numerator and denominator by -6.

-1/2

Answer:

No

Yes

No

No

Step-by-step explanation:

Answer:

1/16

Events A+B are written (P) yellow : 1/4 * (P) green : 1/4

Ao event = (P) 1/4 * 1/4 = 1/16

Step-by-step explanation:

The probability of event A and event B is 1/16.

We have given that,

Event A: lands on yellow.

Event B: lands on green

Events A+B are written  

yellow(P) = 1/4 * (P) green= 1/4

Probability is defined as the likelihood of something occurring or the chance of something happening.

Ao event (P)=1/4 * 1/4

Event = 1/16

Therefore the probability of event A and event B is 1/16.

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