Which of the following lists the missing reasons in the respective order?

Alternate Interior Angle Theorem, ASA, CPCTC


Vertical Angle Theorem, ASA, CPCTC


Linear Pair Postulate, SSS, CPCTC


Reflexive Property, CPCTC, AAS

Answer:

The bike will cost $481.50

because

10% off of 500 is 50

so 500 - 50 = 450

Now include the sales tax which is

450 * 0.07 = 31.5

Now add the two totals to get

$481.50

Answer:

2

Step-by-step explanation:

Part (a)

This sequence is arithmetic because we are adding 4 to each term to get the next term. Nice work on getting the correct answer here.

To get the nth term of an arithmetic sequence, we'll use the formula below

an = a + d(n-1)

In this case, a = 14 is the first term and d = 4 is the common difference

So we have these steps

an = a + d(n-1)

an = 14 + 4(n-1)

an = 14 + 4n - 4

an = 4n + 10

Answer: 4n + 10

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

Part (b)

This sequence is geometric since we multiply each term by 4

The common ratio is r = 4 and the start term is a = 2.

So the nth term is....

an = a*(r)^(n-1)

an = 2*(4)^(n-1)

Answer: 2*(4)^(n-1)

Answer:

18 and 32

Step-by-step explanation:

Answer:

6 early-admission tickets.

Step-by-step explanation:

20% / 100 = 0.2 ; Dividing a percentage by 100 will give you its actual value, instead of the percentage.

0.20 x 30 tickets = 6 early-admission tickets. ; What we're saying here is that since 0.20 and 20% are the same, we can figure out what 20% of 30 is, which is 6.

Answer:

[tex]Solution,\\Radius(r) = 5cm\\Area of circle = \pi r^2 = \pi (5)^2 = 25\pi =78.54cm^2[/tex]

Answer:

Step-by-step explanation:If we add the first and second equations, we will eliminate both the x and the y.

(2x + y + z) + (2x - y - z) = (3) + (9)

2x + y + z + 2x - y - z = 3 + 9

4x = 12

x = 3

So, x must equal 3.

Now, if we put 3 into each equation, we have the following equations:

6 + y + z = 3

6 - y - z = 9

3 + y - z = 0

Now, we can move all the numbers to the right side:

y + z = -3

-y - z = 3

y - z = -3

Now, we can try to eliminate another variable. If we add the second two equations, we can eliminate y.

(-y - z) + (y - z) = (3) + (-3)

-y -z + y - z = 0

-2z = 0

z = 0 (because, if we divide both sides by -2 to isolate z, 0/[-2] = 0)

So, now we have x = 3 & z = 0.

Now, pick any of the original equations and plug these values of x & z in, and you will get y.

2x + y + z = 3

2(3) + y + 0 = 3

6 + y + 0 = 3

6 + y = 3

y = -3

So, now we have x = 3, y = -3, & z = 0.

These are the only x, y, and z values that work for all 3 equations

Answer: A - 1, B - 2, and C - 3.

Step-by-step explanation:

Situations are a, b, and c. Equations are 1, 2, and 3.

Step-by-step explanation:

The pre-image points are A( 0,0 ), B(2, 0) and C(0, 4). The question is asking you to rotate the traingle 180°. Each rotation has its rules. For 180° rotation our rule is (x,y) → (-x,-y). Let's apply that to our points:

A( 0,0 ), → (0,0)

B(2, 0) → (-2,0)

and C(0, 4). → (0,-4)

Now we dilate our point ( remember the order in which you do transformation is important. Since it saids the rotation is followed that means the dilation is done second)

Our scale factor is 3. Remember when our scale factor is more than one our shape gets bigger. So our rule is (x,y) → (kx,ky). Let's apply our scale factor to all our points:

(0,0) → (0,0)

(-2,0)→( -6,0)

(0,-4) → (0,-12)

The answer is

A' (0,0) B' (-6,0) C' (0,-12)

The triangles will be similar not congruent. Remember congruent triangles have the same angles and same sizes. Similar angles have the same angles BUT different sizes. Every transformation produces congruent angles except for dilations.

Answer:

The Correct Answer is 37 feet long.

Step-by-step explanation:

The Calculator can confirm, if we know that the 2 sides small sides are 12 and 35 we know that the hypotenuse is 37 feet long, therefore your answer is...

37 feet long

Hope I Helps!

Answer:

can you pls show more......

Step-by-step explanation:

Answer:

13t+5

Step-by-step explanation:

Answer: n^3 and a^2

Step-by-step explanation:

Answer:

n^3 and a^2

Step-by-step explanation:

Answer:

0.083

Step-by-step explanation:

Answer:

3 is it

Step-by-step explanation:

Answer:

So, The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

Step-by-step explanation:

P.S - The exact ques is -

As we know that Volume of cone , V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

As given,

V = [tex]9\pi[/tex]

⇒[tex]\frac{1}{3}\pi r^{2}h = 9\pi \\ \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27[/tex]

So,

The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

In Case I-

When r = 3, h = 3

(3)² ×3 = 9×3 = 27

Satisfied

Case II-

r = 1, h = 27

(1)²×27 = 1×27 = 27

Satisfied

Case III-

r = 2, h = 6.75

(2)²×6.75 = 4×6.75 = 27

Satisfied

If the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.

The volume of the cone is the volume occupied by the cone. It is given by the formula,

[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h[/tex]

where r is the radius of the base, and h is the height of the cone.

Now, as it is given that cones need to hold 9 cubic inches of popcorn. therefore, the volume of the cone can be written as,

[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h\\\\9 \times 3 = \pi r^2h\\\\\dfrac{9 \times 3}{\pi}=r^2 h\\\\8.5943 = r^2 h[/tex]

Thus, the product of the square of the radius and the height of the cone should be such that the result is 8.5943.

Now, let the radius of the cone be 2 inches, therefore, the height of the cone is,

[tex]8.5943 = r^2 h\\\\8.5943 = (2^2) h\\\\h = 2.1485\rm\ in[/tex]

Hence, if the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.

Learn more about the volume of the cone:

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Answer: 53

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3/21=x/14

X=2

Answer is 2

The values of x and y that make the quadrilateral a parallelogram​ are, X = 25 & Y = 15

Quadrilateral are the type of polygon who has 4 sides, on the basis of length and angle between sides we can further classify quadrilateral into following categories;

for example, Rectangle, Square, Parallelogram, Rhombus, Trapezium

Given that,

A parallelogram whose all the angles are,

(4x + 13)°, (4y + 7)°, (3x - 8)°, (5x - 12)°

It is known that,

Opposite Interior angles of  parallelogram are equal

so,

⇒ (4x + 13) = (5x - 12)

⇒  x = 25

⇒  (4y + 7) = (3x - 8)

⇒   4y + 7  = 75 - 8

⇒   4y = 60

⇒    y = 15

Hence, the values of x and y are respectively 25, 15

To know more about Quadrilateral check:

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#SPJ5

Answer:

ab²√b

Step-by-step explanation:

original problem can be changed to the square root of a²b²b²b

everything inside radical raised to the power of 2 can be moved outside so one ‘a’ and two ‘b’ come out giving you ab²

the b inside stays there because its exponent is one

Answer:

Step-by-step explanation:

the Pythagorean theorem is

c is the hypotenuse which is the side opposite of the right angle

plug the numbers into the Pythagorean theorem

[tex]x^2+(\sqrt{26})^2=13^2[/tex]

when squaring a square root, just take the number in the radical and get rid of the radical

[tex]x^2+26=169[/tex]

subtract 26 from both sides

[tex]x^2=[/tex][tex]143[/tex]

find the square root of 143

143 is prime so it can just be written as

[tex]x=\sqrt{143}[/tex]

Answer:

NAACP Founder Charles Edward Russell

Step-by-step explanation:

from g o o g l e

Answer:

Derrick Johnson

Step-by-step explanation:

Answer:

A. (x, y) -> (0.2x, 0.2y)

Step-by-step explanation:

I'll test this out with just point S if that's fine.

Point S's coordinates are (5, -5), as seen on the coordinate plane.

However,  Point S' has coordinates of (1, -1).

Divide 1 by 5 to get 1/5. You can also do -1/-5 to also get 1/5 (Remember, dividing two negatives gets you a positive.).

So you can conclude that the dilation has the x and y coordinates shrinking to 1/5 of the original. Both coordinates shrink at the same rate, so B and C are out. The figure is NOT getting bigger so D is also incorrect. This leaves A ((x, y) -> (0.2x, 0.2y)) as our answer.

Answer:

A

Step-by-step explanation:

Answer:

25 divided by 40=0.625 rounded is 0.6 is ur answer!

Step-by-step explanation:

Answer: A

Step-by-step explanation:

When you reflect over the Y axis you do (-x,y)

And so (-3,4) = (3,4)

Answer:

30 (not including 1 because 1 is not BETWEEN 1 and 1000).

Step-by-step explanation:

Answer:

Answer:

it does not represent a function

Step-by-step explanation:

it is not liner

Answer:yes

Step-by-step explanation:

each x value has one y value

Answer:

Option - b: 60

Step-by-step explanation:

Sum of exterior angle = 360

Exterior angle = 60

6x = 360

x = 360 / 6 = 60