A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.



The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3?


They are same-side interior angles, so angle 3 measures 50°.

They are alternate interior angles, so angle 3 also measures 130°.

They are corresponding angles, so angle 3 also measures 130°.

They are alternate exterior angles, so angle 3 measures 50°.

Answer:

c)3/2(8/7)^x

Step-by-step explanation:

Evaluate the functions. 

1. Because 7/4 > 1 and the exponent is positive,

  the function does not decay.

2.Because 4/5 < 1 and the exponent is negative,

   the function does not decay.

3. Because 8/7 > 1 and the exponent is negative,

   the function decays.

4. Because 9/2 > 1 and the exponent is positive,

   the function does not decay.

A composite plot the functions verifies the answer.

If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger.  That's because the base is greater than 1 and the x is negative.

please mark me brainliest :)

The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

The standard form of an exponential equation is expressed as:

y = a(b)^x

where

a is the base

x is the exponent

b is the rate (determine whether the rate is growth or decay)

If the value of b is less than 1 then it is a decay function. The only expression that is a decay function is f(x) = 2/3(4/5)^-x since 4/5 is less than 1

Learn more on exponential function here:  https://brainly.com/question/2456547

#SPJ6

Answer:

x ≥ 2

Step-by-step explanation:

21 ≤ 3 + 9x

21 - 3 ≤ 9x

18 ≤ 9x

18 ÷ 9 ≤ x

2 ≤ x

x ≥ 2

The solution to the inequality 21 ≤ 3 + 9x by combining like terms and solving for x is, x ≥ 2.

Used the concept of inequality which states that,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that,

The inequality is,

21 ≤ 3 + 9x

Now, simplify the inequality by combining like terms and solving for x,

21 ≤ 3 + 9x

Subtract 3 on both sides,

21 - 3 ≤ 9x

18 ≤ 9x

It can be written as,

9x ≥ 18

9x - 18 ≥ 0

Take 9 as common,

9 (x - 2) ≥ 0

x - 2 ≥ 0

Therefore, the solution of expression is,

x  ≥ 0

To learn more about inequality visit:

https://brainly.com/question/25944814

#SPJ6

Answer:

The solution of the given equation is x = -4

Step-by-step explanation:

Explanation:-

Given expression 4 x - (x +2) +6 = 2 (3 x+8)

Step(i):-

4 x - (x +2) +6 = 2 (3 x+8)

4 x - x -2 + 6 = 6 x + 16

step(ii):-

    3 x + 4  = 6 x + 16

subtracting '4' on both sides , we get

   3 x + 4 - 4 = 6 x + 16 - 4

   3 x = 6 x + 12

Step(iii):-

Subtracting '6x' on both sides , we get

3 x - 6 x = 6 x - 6 x + 12

  - 3 x = 12

Step(iv):-

Dividing '-3' on both sides , we get

        [tex]\frac{-3x}{-3} = \frac{12}{-3}[/tex]

        x  = - 4

Final answer:-

The solution of the given equation is x = -4

Verification:-

4 x - (x +2) +6 = 2 (3 x+8)

put x = -4

4 ( -4) - ( - 4 +2) +6 = 2 (3(-4)+8)

-16+2+6 = 2 (-12+8)

-8 = -8

Both are equal  

Answer:

For everyone on Edge, It's A: He distributed incorrectly.

Step-by-step explanation:

he didn't distribute at all so  

im pretty sure.

Answer:

1215

5×3,15×3,45×3,135×3,405×3=1215

Answer:

[tex]2c^{2}[/tex]

Step-by-step explanation:

[tex]\frac{8c^33d^2}{4cd^2}[/tex]

[tex]\frac{2c^2d^0}{1}[/tex]

Answer:

[tex]2 {c}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{8 {c}^{3} {d}^{2} }{4 {c}^{1} {d}^{2} } \\ = 2 {c}^{3 - 1} {d}^{2 - 2} \\ = 2 {c}^{2} {d}^{0} [/tex]

we know that,

[tex] {d}^{0} = 1[/tex]

so,

[tex] = 2 {c}^{2} {d}^{0} \\ = 2 \times {c}^{2} \times 1 \\ = 2 {c}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

hey did you happen to get the answer for this?

Step-by-step explanation:

The answer is -2.0 and 2.0

Answer:

V = lwh

/lw   /lw

First isolate the variable by seperating lw from the side that h is on. You do this by dividing both sides by lw. This will result in h being volume over lenght and width.

Answer:

Step-by-step    

In ordinary arithmetic, the expression has no meaning, as there is no number which, when multiplied by 0, gives a (assuming a ≠ 0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 00 is also undefined; when it is the form of a limit, it is an indeterminate form. explanation:

Answer:

mBCD = 28°

Step-by-step explanation:

The angle mBFD inscribes the arc mBD, so we have that:

mBFD = mBD/2

76 = mBD/2

mBD = 152°

The angle mBOD is a central angle related to the arc mBD, so we have that:

mBOD = mBD = 152°

In the quadrilateral BODC, the sum of internal angles needs to be equal to 360° (property of all convex quadrilaterals). The angles mCBO and mCDO are right angles, because EDC and ABC are tangents to the circle.

So, we have that:

mBOD + mCDO + mBCD + mCBO = 360

152 + 90 + mBCD + 90 = 360

mBCD = 360 - 90 - 90 - 152

mBCD = 28°

Answer:

its definetely A.

Step-by-step explanation:

i got it right on my assignment

Option B is correct that is a closed circle is at negative 15. Everything to the right of the circle is shaded.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

The solution to the inequality –0.5x ≤ 7.5 a closed circle is at negative 15 and everything to the right of the circle is shaded. The graph of the inequality is attached with the answer.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ2

Answer:

The Answer is 15

Step-by-step explanation:

the answer is 15 because that is what i got after i did all the work and i got it correct.

Answer:

answer is 2.5 times....

There are 2.5 times does 2 go into 5.

Since, Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that,

To find what times does 2 go into 5.

Now, We can solve as by divide 5 by 2,

⇒ 5 / 2

⇒ 2.5

Thus, A number 5 is 2.5 times 2.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Answer:

About 51.5%

Step-by-step explanation:

The volume of the prism currently is (9*4)/2*11=18*11=198 cubic feet. If you added a foot to each dimension, the volume would be 10*5/2*12=25*12=300. (300-198)/198=102/198 a percent increase of about 51.5%. Hope this helps!

Answer:

About 51.5%

Step-by-step explanation:

Answer:

a > -21 1/3

Step-by-step explanation:

3/4a > -16

Multiply each side by 4/3

4/3 * 3/4a > -16 * 4/3

a > -64/3

a > -21 1/3

Answer:

[tex]y\leq -x+4[/tex]

Step-by-step explanation:

The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.

This line has a y-intercept of 4 and a slope of -1.

This means that the equation of this line would be [tex]y=-x+4[/tex]

Now that we have the equation of the line, we just need to determine which inequality sign to use.

As the shaded region is BELOW the line, we will use a less than (<) sign.

As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that [tex]y\leq -x+4[/tex] would be the equation for this inequality.

Answer:

y=x+9

Step-by-step explanation:

Answer:

Since the figures are congruent, their areas must also be congruent so the answer is 28.

Given

[tex]6(5-3x)-5(3x+2)[/tex]

Distribute

[tex](30 - 18x)+(-15x-10)[/tex]

Rearrange and solve

[tex](-18x+30)+(-15x-10)[/tex]

Subtract (30) to both sides

[tex](-18x+30)-30+(-15x-10)-30\\(-18x)+(-15x-40)[/tex]

Add (15x) to both sides

[tex]+15x(-18x)+(-15x-40)+15x\\-3x+40[/tex]

Your answer is

[tex]-3x+40[/tex]

Answer:   [tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]

Step-by-step explanation:

A magic cube is something like:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Where the numbers that we must use are:

1, 3, 5, 7, 9, 11, 13, 15, 17

If we take the addition of those 9 numbers, we get 81.

Now, we divide it by 3 (the number of numbers in each row or column) and get:

81/3 = 27

so the sum in each row, column and diagonal must be 27.

1 + 9 + 17 = 27

13 + 11 + 3 = 27

5 + 7 + 15 = 27

9 + 13 + 5 = 27

You can keep playing with this, and then start forming our number cube, some of the hints tat we can use is that the median of the group is 9, so it must be in the middle of the cuve, and the extremes, 1 and 17, must be in the same column or row as 9.

so we start with:

[tex]\left[\begin{array}{ccc}x&x&x\\1&9&17\\x&x&x\end{array}\right][/tex]

and start to fill the empty spaces, now we can use that

1 + 11 + 15 = 27 and get:

[tex]\left[\begin{array}{ccc}11&x&x\\1&9&17\\15&x&x\end{array}\right][/tex]

now for the diagonals:

11 + 9 + 7 = 27

15 + 9 + 3 = 27

[tex]\left[\begin{array}{ccc}11&x&3\\1&9&17\\15&x&7\end{array}\right][/tex]

and for the last one:

11 + 3 + 13 = 27

15 + 7 + 5 = 27

[tex]\left[\begin{array}{ccc}11&13&3\\1&9&17\\15&5&7\end{array}\right][/tex]

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When the exponent is outside the parenthesis, the exponent is connected to every part of the equation.

Answer:

0.000000207 in scientific notation = 2.07 × 10^-7

Remember it has to have one number before the decimal.

8.2 * 10^-7 in standard form = 0.00000082

YOu have to move the decimal back.

In the first box the answer is 2.07 × 10^-7.

In the second box the answer is 0.00000082.

Answer:

the first one

Step-by-step explanation:

The second equation doesn't make sense because that's not a true statement. The third equation uses the associative property so the answer must be the first one.

Answer:

y=3x-7

Step-by-step explanation:

Answer:

5 < x < 23

Step-by-step explanation:

let the third side be x , then

difference of 2 sides < x < sum of 2 sides

14 - 9 < x < 9 + 14 , that is

5 < x < 23

Answer:

B

Step-by-step explanation:

Answer:

AAA

Step-by-step explanation:

We see that three set of angles are the same in the different triangle hence

It is congruent by Angle Angle Angle AAA

<UST = <QSR

<UTS = < QRS

<TUS = < SQR

Answer:

1,600

Step-by-step explanation:

C=4.00

A=8.00

C+A=2,350  

C=2,350-A

4C+8A=12,400

4(2,350-A)+8A=12,400

9,400-4A+8A=12,400

4A=12,400-9,400

  4A=3,000

A=3,000/4

A=750 ADULTS ATTENDED.

C+750=2,350

C=2,350-750

C=1,600 CHILDREN ATTENDED.

Answer:

k(5k +7)

Step-by-step explanation:

The only factor which is available in both 5k^2 and 7k is k, so you take k outside the bracket and then put the remaining in the brackets

Answer:

5k^2+7k = k(5k+7)

Step-by-step explanation:

5k^2/k = 5k

7k/k = 7

Answer:

Step-by-step explanation:

Part A

[tex]V=\pi r^2h=\pi *2.5^2*7.5=147.26\\=147in^3\\[/tex]

Part B

[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{75}{\pi *6} } \\=1.99\\=2in[/tex]