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proof showing that alternate interior angles are
congruent.
We know that lines a and b are parallel and that line c
is a transversal because that is given. We can tell that
angles 2 and 5 are congruent because
V angles are congruent. Angles 5 and
7 are congruent because
angles by
parallel lines cut by a transversal are congruent.
Therefore, angles 2 and 7 are congruent based on the

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:

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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.

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:

0=0 true for all x

Step-by-step explanation:

[tex]2x+3\left(x-1\right)=7x+1-2\left(x+2\right)\\\\[/tex]

[tex]2x+3x-3=7x+1-2\left(x+2\right)[/tex]

[tex]5x-3=5x-3[/tex]

Hope this help ya

<3

Red

Answer: 1

Step-by-step explanation:

Answer:

14/9

Step-by-step explanation:

Yea that is the answer...

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:

I think it's either B or C because A and D don't make sense in my opinion.

Step-by-step explanation:

The degree of the p (x) is greater because r (x) is quadratic.

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The function p (x) is,

⇒ p (x) = 4x³ - 2x² + 15

And, The function of r (x) is find by table.

Here, By the given table;

The degree of r (x) is 2, because it is quadratic.

And, The degree of p (x) is 3.

Thus, We can conclude that;

The degree of the p (x) is greater because r (x) is quadratic.

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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...

Answer:

The answer is angle 7, 3, and 2

Step-by-step explanation:

Angle 7 is vertical, angle 3 is alternate exterior, and angle 2 is corresponding.

Answer:

2, 7, 3

Explanation:

7= Vertically opposite

2= Corresponding

3= Vertically opposite to 2

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]

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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: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.

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Answer:

19g+7?

Step-by-step explanation:

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

19g+7

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.

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:  A) 1/360

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

Answer:

it took her 60 mins which is a hour

Step-by-step explanation:

you would simply add 24 plus 24 and get 48 then u would take 24 and divide that by 2 and get 12 and then u would add 48 and 12 and get the final answer of 60

Answer:

it would take laurel 56 minutes to run 7 miles.

Step-by-step explanation:

She has to run 7 miles, so if she can run 3 in 24 minutes, you can double that time to 48 minutes to run 6 miles, on top of adding another 8 minutes due to 1/3 of 24 (the third being equal to 1 mile since 24 is 3 miles) being 8, leaving you with 56 minutes for her 7 mile run.

Answer:

-8

Step-by-step explanation:

Answer:

When a linear function is expressed in different forms, its slope and y- intercept remain the same. The slope from the equation is -1, and the y intercept from the equation is 3. The slope from the table is -1, and the y intercept fron the table is -3.

Step-by-step explanation:

I did it

Answer:

24 units squared

Step-by-step explanation:

you have to first find the area of the base, which is 4 * 4 which is 16. then, to find the area of the triangles, you multiply the base by height, 4 * 3 = 12, and since we have 4 triangles, and one triangle would be (1/2) * base * height, you can multiply this result by 2, which would equal 24

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:

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:

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.

Answer:

−36

Step-by-step explanation:

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:

Erica has 15 pieces of candy left

Step-by-step explanation:

Mark me brainliest!!!!

She had 45 pieces to start with then she gave her friends 1/3 which leaves her with 15 pieces of candy left. Then she eats 1/6 of the candy she had left so now she only has 25 left and then the next day she eats 10 more pieces which leaves her with 15 pieces of candy left.