If ST 13 and RT = 46, find RS. Use the number line below.
R
RS=
(Type an integer or a decimal.)
CODO
So

The missing reasons in the prof are:

1. Given

2. Vertical angles are congruent

3. Substitution

4. Subtraction

5. Addition

6. Division

According to the vertical angles theorem, if two angles are vertical angles, then they would be congruent to each other.

The following are the missing reasons in the given proof;

1. <PAR and <TAS are vertical angles [given]

2. <PAR ≅ <TAS [vertical angles are congruent]

3. 3x + 14 = 50 - x [substitution]

4. 3x = 36 - x [subtraction]

5. 4x = 36 [addition]

6. x = 9 [division]

Therefore, the missing reasons in the prof are:

1. Given

2. Vertical angles are congruent

3. Substitution

4. Subtraction

5. Addition

6. Division

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Answer: 45

Step-by-step explanation:

The LCM of 5 and 9 is 45. To find the least common multiple of 5 and 9, we need to find the multiples of 5 and 9 (multiples of 5 = 5, 10, 15, 20 . . . . 45; multiples of 9 = 9, 18, 27, 36 . . . . 45) and choose the smallest multiple that is exactly divisible by 5 and 9, i.e., 45.

Answer:

59,049

Step-by-step explanation:

Since 3^2 is basically 3 times 3 which is 9, then what's 9 times 9, 9, 9, 9, 9 (9^5)?

Answer: 3¹⁰

Step-by-step explanation:

[tex]\displaystyle\\(3^2)^5=\\\\3^{2*5}=\\\\3^{10}[/tex]

The length of AC is 6.228 cm.

Here the angle of the triangle ∡ABC is 40°, AB = BC = 9.

We have to find the length of AC which is opposite to ∡B.

Let AB = BC = x , AC = c

From the cosine formula, we know that

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab cos α

Here c is the length of the side opposite to the angle α, and a, b is the side adjacent to the angle α.

So from the cosine formula we have

[tex]c^{2}[/tex] = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] -2[tex]x^{2}[/tex]cos α

[tex]c^{2}[/tex] = 2[tex]x^{2}[/tex] - 2[tex]x^{2}[/tex] cos 40°

   = 2[tex]x^{2}[/tex](1- cos 40°)

   = 2 ×[tex]9^{2}[/tex] ( 1 - 0.76)

    = 2 × 81 × 0.24

c = 2 × 9 × 0.2×√3

  =3.6 × 1.73

  = 6.228cm

Therefore the length of the side AC is 6.228cm.

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Answer: 17+3x

Step-by-step explanation:

7(3 + x) - 4(x + 1)=

21+7*x-4x+(-4*1)=     ==> Distribution Property

21+7x-4x+(-4)=

21+3x-4=

21-4+3x=17+3x

1in=15 then it’s 75. For 2in=25 then it’s 62.5

Answer:

56 square feet

Step-by-step explanation:

a rectangle has 4 sides, and two of each are the same;

12 is the length

16 is the width

12 + 12 + 16 + 16 = 56

final answer is 56 square feet

hope this helped xx

Answer:

70t = 60t + 10

10t = 10

t = 1 hour

----------

1 hour  70 mi/hr = 70 miles

Step-by-step explanation:

Answer:

7x(y^3-11)

Step-by-step explanation:

The true statements are f(-5) = -40,  f(0) = 3 and  f(3) = 0

Given the function;

f(a) = 3a – a2

For f(-5), we substitute the value of a as -5, we have

f(-5) = 3(-5) - (-5)²

f(-5) = -15 - 25

f(-5) = -40

For f(4), we have

f(4) = 3(4) = 3(16)

f(4) = 12 - 48

f(4) = -36

For f(-1), we have

f(-1) = 3(-1) - (-1)²

f(-1) = -3 - 1

f(-1) = -4

For f(0), we have

f(0) = 3(0) -(0)

f(0) = 0

For f(3), we have

f(3) = 3(3) - 3²

f(3) = 0

Thus, the true statements are f(-5) = -40,  f(0) = 3 and  f(3) = 0

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Answer:

he. haha. shyw sjIana d auhaabab ssbajiaan s

Mullet ratio of 1.5 is 1.8

Given:

The mullet ratio is 1.5

Rm=[tex]\frac{party}{buisness}[/tex]

Rm = 17/9

Rm=1.8

The ratio to their Mullet and several other higher-level extension questions.

Trimmed short in the front and sides, but left wild and long in the back. Mullet begins the experience with intuition, the lowest rung on the ladder of abstraction, asking students to decide using nothing more than their gut “which one is more Mullet-y” By the end, they’ve named variables and defined operations, entirely abstracting the context.

The pipe cleaner was inserted along the hair, and the students straightened it on their rulers to determine the size of the Party. The Business was often rather honest.

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Answer:

1. 0.003

2. 0.5

3. 0.001343

4.0.05003

5. 0.670570

6. 1.01

Answer:

The answer is 22 2/3

Step-by-step explanation:

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

Explanation:

A = (4,5) is one endpoint

B = (-1, 4) is the midpoint

C = (x,y) is the other endpoint

For now, focus on the x coordinates of each point

A and C have x coordinates of 4 and x respectively

Add them up and divide in half. Set this equal to the x coordinate of B

(4+x)/2 = -1

4+x = 2*(-1)

4+x = -2

x = -2-4

x = -6 which is the x coordinate of point C

Repeat this same idea for the y coordinates

(5+y)/2 = 4

5+y = 2*4

5+y = 8

y = 8-5

y = 3 which is the y coordinate of point C

Therefore, point C is located at (-6, 3)

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

To verify the answer, you can use the distance formula to calculate the following segment lengths: AB and BC

You should find that AB = BC. This is because the midpoint splits segment AC into two smaller equal pieces.

Another way to verify the answer is to use the midpoint formula on points A(4,5) and C(-6,3). The result of using this formula should be B(-1,4) mentioned earlier.

Answer: x=2

Step-by-step explanation:

[tex]6x=12[/tex]

[tex]\frac{6}{6}x=\frac{12}{6}[/tex]

[tex]x=2[/tex]

The car has a value of $ 15 500 at the end of the fifth year.

In accordance with the statement, the value of an automobile decreases in time and decreases steadily. A stead decrease means that the value decreases linearly in time, whose formula is shown below:

C' = C + r · t         (1)

Where:

If we know that C = $ 2 600, C' = $ 37 000 and t = 8, then the value of the car at the end of the fifth is:

r = (C' - C) / t

r = (2 600 - 37 000) / 8

r = - 4 300

t = 5

y = 37 000 - 4 300 · 5

y = 15 500

The car has a value of $ 15 500 at the end of the fifth year.

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This investigation's goal is to demonstrate how quickly and easily we can determine the diameter of the sun using basic geometry.

The cards must remain parallel and separated by a predetermined amount. Then, a tiny hole must be cut on one card so that sunlight can pass through and create the sun's picture on the other card. We base the formula described above on the diameter of this photograph of the sun. The diameter of the sun's picture on the card is now measured because we can choose the distance between the cards, and we already know that the sun is nearly 150 million kilometers away from the earth. i.. e. Since three of the values are known, we can use the technique above to determine the fourth unknown quantity and measure the diameter.

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Answer:

Bars Express is less expensive and will save you one cent on shipping costs for 5 candy bars.

Step-by-step explanation:

Plug in 5 into the x values of both equations and see how much they both cost.

Uber Bars -> 3 + 1.59(5) = 10.95

Bars Express -> 0.99 + 1.99(5) = 10.94

Answer:

(1)

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° .

consider the inner triangle where

a + b + 58° = 180° ( subtract 58° from both sides )

a + b = 122°

consider the outer triangle where

c + d + 63° = 180° ( subtract 63° from both sides )

c + d = 117°

Then

a + b + c + d = 122° + 117° = 239°

Answer: Easy, T = VP/K

Step-by-step explanation:

1. Since you need to multiply P, making it VP = KT

2. Then, you need to divide the K, making it VP/K = T

3. So the first one is VP, the second one is K

Answer:

D=16(3)

=48 feet

D=16(4)

=64 feet

The distance between third and fourth second=64 feet-48 feet

=16 feet

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

Now,

We are given the linear equation: [tex]4x + \frac{1}{2}(10x-4)=6[/tex]

Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

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Answer: =38x+16.                                                            

a_{\color{red}{8}}=(\color{blue}{3x-5}) + (\color{red}{8}-1)(\color{green}{5x+3})

a

8

​

=(3x−5)+(8−1)(5x+3)

a_{8}=3x-5+ 7(5x+3)

a

8

​

=3x−5+7(5x+3)

a_{8}=3x-5+35x+21

a

8

​

=3x−5+35x+21

278 is the value of IQR.

To find the IQR:

Arrange in ascending order as follows:

The middle value or the median is 525.

Q₁ from the lower half is 410 and Q₃ from the upper half is 688.

Therefore, the value of IQR is 278.

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The total amount of gallons of gasoline expended by all the automobile drivers in the United States is 9 × (10)10 gallons. It is obtained using the basic concepts of word problems based on multiplication and division.

What are word problems?

Word problems are defined as mathematical problems that are completely expressed in the notation of words or language rather than numbers. Word problems can simply be based on addition, subtraction, multiplication, division, percentage, etc.

Calculation of the total amount of gasoline consumed in the US in units of gallon

According to the word problem, the total number of people in the US is  3 × (10)8

Number of people having cars = ½ × 3 × (10)8

                                               = 1.5 × (10)8

Each car drives an average of 12000 miles per hour, so the total distance travelled by one car is 12000 miles

The distance covered by all the cars = 1.5 × (10)8 × 12000

= 1.8 × (10)12 miles

20 miles is covered in 1 gallon of gasoline

1 mile is covered in 1/20 gallon of gasoline

So, 1.8 × (10)12 miles will be covered in 1.8 × (10)12 × (1/20)

= 9 × (10)10 gallons

Hence, the gallons of gasoline required is 9 × (10)10 gallons.

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Answer:

To find out how much each apple cost

Step-by-step explanation:

If Molli bought 9 apples for a total of $3.96, she could divide her total by 9 to figure out how much each individual apple cost.

Answer:

$26.73

Step-by-step explanation:

Karen: $81

Kimberly: 33% of $81

33% of $81 = 0.33 × $81 = $26.73