Developing Proof Complete this paragraph proof of Theorem 3-6. If two lines and a transversal form supplementary same-side interior angles, then the two lines are parallel. Given: 21 and 22 are supplementary. C Prove: € || m Proof: 22 is a supplement of a. *? and 23 is a supplement of b. ?.Since supplements of the same angle are congruent, c. ? = d.? , Since 22 and 23 are also corresponding angles, é || m by the e. ? Postulate. 3 2 6.​

Answer: x>-1

Step-by-step explanation: I know this because I solved this equation. I know that is not a good explanation but I know it is right.

Answer:

x > -1

Step-by-step explanation:

-2x + 3 < 5

subtract 3 from both sides of inequality

-2x < 2

divide both sides of inequality by -2. Keep in mind whenever you divide or multiply by a negative number to both sides of inequality the symbol flips.

x > -1

Answer:

206

Step-by-step explanation:

I put it in a calculator

Answer:

206

Step-by-step explanation:

3(5+3)^2+14

3(8)^2+14

3(64)+14

194+14

=206

Answer:

6/10  or 36/60

Step-by-step explanation:

You see to get an equavilent fraction all you have to do is multiply by two then, later on, that same number.

Hope this helps :)

Answer:

6/10 or 9/15

Step by step:

3/5×2/2=6/10

3/5×3/3=9/10

Answer: $270

Step-by-step explanation:

Cost of heating last year = $120

The amount that they will expect to pay this January if their bill increased by 125% will be the addition of $120 and 125% of $120. This can be mathematically expressed as:

= $120 + (125% × $120)

= $120 + (1.25 × $120)

= $120 + $150

= $270

Answer:

The rate is 1.75 feet/seconds or 105 feet/minute.

Step-by-step explanation:

Given that,

Li walks at a constant rate of 7 feet in 4 seconds

To find the constant of proportionality, divide 7 feet by 4 seconds.

So,

[tex]k=\dfrac{7\ \text{feet}}{4\ \text{seconds}}\\\\k=1.75\ \text{ft/s}[/tex]

1.75 ft/s is the constant of proportionality

We know that, 1 minute = 60 seconds

k = 105 feet/minute

So, the rate is 1.75 feet/seconds or 105 feet/minute.

Answer:

a.16

b.1056

Step-by-step explanation:

a. So we know that Not Shakers charges 800 dollars  + 16 per hour, so we can call that 800 + 16h. We also know that Hernia Movers charges 720 dollars + 21 per hour, so we can call that 720 + 21h.

Now in order to find when they will have the same amount, we have to solve for h.

Equation:

800 + 16h= 720+21h

800=720+5h

5h=80

h=16

The two companies will have the same amount after 16 hours.

b. Now we have to find that amount, so all we have to do is replace h with 16. so 720 + 21(16) = 1056.

Therefore, the amount will be 1056 dollars.

Answer: See explanation

Step-by-step explanation:

Fron the question, we are informed that she bought 10 ounces of spicy popcorn for $2.50.

a. How much does popcorn cost per ounce?

1 ounce of popcorn = $2.50/10 = $0.25

b. How much popcorn can you buy per dollar?

Since 1 ounce of popcorn cost $0.25, $1 can buy popcorn worth:

= $1/$0.25

= 4 ounce of popcorn.

The relationship between the ounce of popcorn and the amount spent is an illustration of a linear function.

From the question, we have:

[tex]\mathbf{10oz - \$2.50}[/tex]

(a) The cost per ounce

To do this, we simply divide both sides by 10

[tex]\mathbf{Cost = \frac{\$2.50}{10oz}}[/tex]

[tex]\mathbf{Cost = \$0.25/oz}[/tex]

Hence, the cost per ounce is $0.25

(b) Popcorn for $1

To do this, we simply divide both sides by 2.5

[tex]\mathbf{Popcorn- \frac{10oz}{\$2.50}}[/tex]

[tex]\mathbf{Popcorn- 4oz/\$}[/tex]

Hence, the amount of popcorn for $1 is 4 ounces

(c) Represent as equations

In (a),  the cost per ounce is $0.25.

So, the equation is:

[tex]\mathbf{y = 0.25x}[/tex]

In (b),  the amount of popcorn for $1 is 4 ounces

So, the equation is:

[tex]\mathbf{x = 4y}[/tex]

Where: x represents the size of popcorn, and y represents the cost.

Read more about linear functions at:

https://brainly.com/question/21107621

Answer:

v = 18

Step-by-step explanation:

8/3v = 48

were going to have to get 3 on the other side, so were going to cancel it out and multipliy it because it is a fraction

now we would have 8v = 48*3

48*3=144

now the equation looks like this 8v = 144

to isolate v we can divide 8 on both sides

which brings us to v = 18

High Hopes^^

Barry-

Answer:

Step-by-step explanation:

First find the LCM of 30, 16. This will give the common number of sausages and bread rolls

30 = 2 *  3 * 5

16 = 2 * 2 * 2 * 2

LCM = 2* 2 * 2 * 2 * 3 * 5 = 240

240 sausages and 240 bread rolls

Number of Sausage pack = 240 ÷ number of sausages in a pack

                                           = 240 ÷ 16

                                           = 15

Number of bread roll pack = 240 ÷ number of bread rolls in a pack

                                           = 240 ÷ 30

                                           = 8

Jenny should buy 8 pack of bread rolls and 15 pack of sausage

2)  LCM of  2 , 5 , 8 = 40

Tom, Sam, Matt  will hit their drum same at 40 minutes

Number of beats hit by Tom before reaching 40 minutes = 40/2 =20 hits

Number of beats hit by Sam before reaching 40 minutes = 40/5 = 8 hits

Number of beats hit by Matt before reaching 40 minutes = 40/8 = 5 hits

14/8

Step-by-step explanation:

Answer:

13/4 is greater

Step-by-step explanation:

   14/8       or         13/4

= 14*1/8*1             = 13*2/4*2

= 14/8                  =26/8

14/8<26/8  which means

14/8 < 13/4

Answer:  A) 1/360

This is because there are 360 degrees in a full circle.

Answer:

XDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

Answers:

x = 13

y = 24

=========================================================

Explanation:

Refer to the diagram below.

The triangle has interior angles (7x-31), 63, and some unknown angle, which we'll call z. This angle z is congruent to (5x-8) as the angles are alternate interior angles.

Alternate interior angles are congruent when we have parallel lines like this.

So z = 5x-8

Add up the three angles inside the triangle, set the sum equal to 180, and solve for x

(angle1)+(angle2)+(angle3) = 180

(7x-31)+63+(5x-8) = 180

12x+24 = 180

12x = 180-24

12x = 156

x = 156/12

x = 13

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

The angle z mentioned earlier is adjacent to the (4y+27) angle. These two angles form a straight line. They are considered a linear pair. This means they are supplementary (they add to 180)

z+(4y+27) = 180

(5x-8)+(4y+27) = 180

5x + 4y + 19 = 180

5(13) + 4y + 19 = 180

65 + 4y + 19 + 180

4y + 84 = 180

4y = 180-84

4y = 96

y = 96/4

y = 24

Answer:

Hey there! The answer you selected is correct!

Step-by-step explanation:

$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Money from walking neighbor's dog = $6 per hour

Money from car wash = $7.5 per hour

Total Number of hours of work not more than 15 hours

Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars

So, money from walking neighbor's dog = 6c

and money from car wash = 7.5d

Therefore total money saved = 6c + 7.5d

∵ Total Number of hours of work is not more than 15 hours

⇒ d + c ≤ 15

∵ Tom needs to make at least $75 to cover prom expenses

⇒ 6c + 7.5d ≥ 75

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

To learn more about inequality :

https://brainly.com/question/14506583

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An irrational number is a number that cannot be represented by a fraction, or must be represented by other irrational numbers. In this case, however, 9.68 can be represented by 9 17/25 , so 9.68 is NOT an irrational number.

Answer:

x = 4

a = 79

b = 101

Step-by-step explanation:

Supplementary means equal to 180° after all angles are added together.

a=19x+3

b= 21x +17

(19x+3) + (21x +17) = 180

19x + 3 + 21x + 17 = 180

             40x + 20 = 180

                      40x = 160

                          x = 4

a = 19(4)+3 = 79

b = 21(4) +17 = 101

Answer:it’s 126

Step-by-step explanation:

The length of AC will be 126. Option D is correct. Similarity of the triangle is applied to find the value of AC.

ΔABC ~ ΔDEF  only if ratio of two sides of ΔABC and corresponding two sides of ΔDEF is equal, and the angle included in both sides are congruent.

Suppose the two sides of ΔABC are AB and BC, and that of DEF be DE and EF, then for SAS similarity, we need

From the similarity of the triangle;

[tex]\rm \frac{AB}{ED} =\frac{AC}{EC} \\\\ \rm \frac{81}{9} =\frac{140-x}{x} \\\\ 9x=140-x\\\\ 10x=140 \\\\ x=14[/tex]

The measure of AC is;

AC=140-x

AC=140-14

AC=126

The length of AC will be 126.

Hence,option D is correct.

To learn more about the SAS similarity theorem, refer;

https://brainly.com/question/22472034

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Answer:

19g+7?

Step-by-step explanation:

2g+19+4g-13+6g+1

19g+7

Answer:

The slope is still -3x. (-3)

Step-by-step explanation:

If a line is parallel to another line, all that's different about it is the location including the y intercept. This means the slope stays the same.

9514 1404 393

Answer:

Step-by-step explanation:

Reflection over the line y=1 is equivalent to the transformation ...

  (x, y) ⇒ (x, 2-y)

Then the transformed coordinates are ...

  J(-4, 3) ⇒ J'(-4, -1)

  K(-2, 7) ⇒ K'(-2, -5)

  L(2, 7) ⇒ L'(2, -5)

  M(3, 3) ⇒ M'(3, -1)

_____

You can do the arithmetic (as we have done above), or you can simply read the coordinates of the reflected points from the graph.

Answer:

1.rocky

Step-by-step explanation

1.we have the add the powers of x,not multiply.

By understanding the concepts of division and multiplication of exponents, we can say that Rocky and Kay are correct.

If we are multiplying similar bases, we simply add the exponents. If we are dividing, we simply subtract the exponents.

[tex](x^{5})(x^{3}) = x^{5+3}=x^{8}\\ \\ \frac{x^{12}}{x^{8} } = x^{12-8} = x^{4}[/tex]

Learn more about division and multiplication of exponents here

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Answer:

-8

Step-by-step explanation:

Line EF is 3 units long

Line CD is 8 units long

If you are scaling EF up to CD the scale is 8/3 = 2 2/3 ( 2.67)

If you are scaling CD down to EF the scale is 3/8 (0.375)

Answer:

−36

Step-by-step explanation:

Answer:

14/9

Step-by-step explanation:

Yea that is the answer...

15 cm * (7 km / 1 cm) = 105 km

Answer:

98 km, if i'm not wrong

Step-by-step explanation:

I believe it would be 98km because wouldn't you just multiply 14 x 7?

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-3,-5) and B(-2,5)

The distance between them is

[tex] |AB| = \sqrt{ ({ - 3 + 2})^{2} + ({ - 5 - 5})^{2} } \\ = \sqrt{ {1}^{2} + ( { - 10})^{2} } \\ = \sqrt{1 + 100} \: \: \: \: \: \: \: \: \: \\ = \sqrt{101} \\ = 10.04987562...[/tex]

We have the final answer as

Hope this helps you

Answer:

i think it is 10 but .-.

Step-by-step explanation:

i graphed it o.o

Answer:

Rotate EFG around point E by 90 degrees clockwise and then translate downwards.

Rotate EFG around point F by 90 degrees counterclockwise and then reflect on a horizontal line e is on, and then translate EFG onto triangle PQR

Step-by-step explanation:

Not going to lie, they made it a lot harder without coordinates... so sorry no explanation...