choose the congruent angles on the triangle shown below

Answer:

Let m be the minimum value of original data set.

Given -

Therefore, the range of new data set is 96-m.

Now, we can find the difference between two ranges by subtracting the ranges -

[tex] \\ \implies \sf \: (96 - m) - (84 - m) \\ \\ \\ \sf \footnotesize \: using \: \: distributive \: \: property \: - \\ \\ \\ \bf \: it \: \: will \: \: be \: \: equal \: \: to \: \: 12. \\ [/tex]

Therefore, the range of the new data set must be greater than the range of original data set.

Answer:

x=108'

y=25'

Step-by-step explanation:

180 = 72+x

so,

x = 180-72

  = 108'

x = 5y-17 ( but we know x is 108')

so 108 = 5y -17

108+17 = 5y

5y = 125

y = 25

Answer:

x = 108 degree

y = 25 degree

Step-by-step explanation:

You can use law of transversal to get these

Answer:

y=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7x - 2y = -52

7(-8) - 2y = -52

-56 - 2y = -52

-2y = 4

y = -2

Best of Luck!

Answer:

x < 3

Step-by-step explanation:

5x - 4 < 2x + 5

Subtract 2x from both sides

5x - 4 - 2x < 2x + 5 - 2x

5x - 2x - 4 < 2x - 2x + 5

3x - 4 < 0 + 5

3x - 4 < 5

Add 4 to both sides

3x - 4 + 4 < 5 + 4

3x < 9

Divide both sides by 3

3x/3 < 9/3

x < 3

-c

No , he needed to apply the exponents to all factors in the product in the second step .

Answer:

Step-by-step explanation:

5

Answer and Step-by-step explanation:

Dog meets the train in = 4 minutes

Train catches up the dog in = 12 minutes

Let x be the time when train leave the route,

Train catch up the dog in 12 minutes, the endpoint of route is x and the dog meet up the train in 4min, so the equation becomes:

                       12 - x = 4

               To find out the value of x, subtract 12 from both sides, we get

                        x = 4 – 12

                         -x = -8

Which gives x = 8, when train leaves the endpoint of route.

Answer:

9.93g/cb cm

Step-by-step explanation:

Density = mass/volume

= 30g/3.02cb cm

= 9.93g/cb cm

Answer:

A. 600

Step-by-step explanation:

Answer:

A.............................,.

Answer:

12 °C

Step-by-step explanation:

12 °C is 24°C warmer than -12°C

Answer:

[tex]4500 = 1200 + 300m[/tex]

Step-by-step explanation:

Given

[tex]Total = 4500[/tex]

[tex]Base\ Amount = 1200[/tex]

[tex]Payment = 300[/tex] monthly

Required

Write an expression to determine the number of months

The total can be expressed using:

[tex]Total = Base\ Amount +Payment * Number\ of\ months[/tex]

Substitute value for each term

[tex]4500 = 1200 + 300 * m[/tex]

[tex]4500 = 1200 + 300m[/tex]

Hence:

Option F answers the question

Answer:

Yes :<

Step-by-step explanation:

Hmm.. maybe f-1 (x) has a y-intercept of (0,-36).

Answer:

Sample study

Step-by-step explanation:

Sample study is a type of statistical study that is done by taking samples from respondents for any research purpose.

In this type of statistical study, a group of people are selected and asked some questions or data collected.

The type of statistical study that Vishal used was Sample Study because he collected data from a group of respondents to arrive at a hypothesis.

Vishal study of relationship between people's age & musical preferences is 'Observational Statistical Study'

Given : Vishal approached all people in city, enquired willing ones about age & musical preferences, & analysed conclusion thereafter.

Vishal used Observational Statistical Study, as :

Vishal collects sample from his city & studies them as it is, without any artificial intervention. Hence this natural enquiry based study of age & musical preferences is Observational Study

To learn more, refer https://brainly.com/question/10025402?referrer=searchResults

Answer:

9-1+8+4

Step-by-step explanation:

9-1=8

use that 8 and add the other 8 to make 16

now add the 4. 16+4=20

Answer:

1, 4, 8, 9, 11, 14, 18, 19

Step-by-step explanation:

elsian 69 pls help me with my latest question i will gove u anything u want pls its due today i am so stuck

Answer:  see below

Step-by-step explanation:

Graph the points and rotate the graph as follows:

or use the following formulas:

1) 180°: (x, y) → (-x, -y)

       D: (1, 4) → (-1, -4)

       E: (7, 6) → (-7, -6)

       F: (8, 3) → (-8, -3)

       G: (2, 1) → (-2, -1)

2) 270°: (x, y) → (y, -x)

       L: (1, 6)  → (6, -1)

       M: (8, 7) → (7, -8)

       N: (5, 2) → (2, -5)

3)  90°: (x, y) → (-y, x)

       Q: (2, 6) → (-6, 2)

       R: (5, 7) → (-7, 5)

       S: (7, 3) → (-3, 7)

       T: (1, 1)  → (-1, 1)

4) 180°: (x, y) → (-x, -y)

       D: (3, 0) → (-3, 0)

       E: (6, 1) → (-6, -1)

       F: (7, -4) → (-7, 4)

       G: (1, -6) → (-1, 6)

Answer:

-56 1/2

Step-by-step explanation:

Answer:

-5.6

Step-by-step explanation:

Answer:

b. psychology drama French chemistry English

Answer:

Step-by-step explanation:

[tex]16.2=2.7(h+1)\\\\2.7\left(h+1\right)=16.2\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\2.7\left(h+1\right)\cdot \:10=16.2\cdot \:10\\\\Refine\\27\left(h+1\right)=162\\\\\mathrm{Divide\:both\:sides\:by\:}27\\\frac{27\left(h+1\right)}{27}=\frac{162}{27}\\\\Simplify\\h+1=6\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\h+1-1=6-1\\\\Simplify\\h=5[/tex]

Answer:

5-(-1)

5+1

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

5-(-1)

5+1

= 6

Answer:

RECORD TIME

Step-by-step explanation:

RECORD TIME

Answer:

record time

Step-by-step explanation:

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Answer:

The answer is

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

(8,9) and (3,2)

The distance between them is

[tex]d = \sqrt{( {8 - 3})^{2} + ( {9 - 2})^{2} } \\ = \sqrt{ {5}^{2} + {7}^{2} } \\ = \sqrt{25 + 49} \\ = \sqrt{74} \: \: \: \: \: \: \: \: \: \: \\ = 8.60232...[/tex]

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Given the system of homogeneous equations

x1 + 2x2 - 3x3 = 0  ................. 1

4x1 + 7x2 - 9x3 = 0 ................... 2

-x1 - 3x2 + 6x3 = 0..................... 3

First we will reduce the equation to two equations and two unknowns;

add equation 1 and 3;

2x2-3x2 +(-3x3+6x3) = 0

-x2 + 3x3 = 0

x2 = 3x3 .......... 4

Multiply equation 3 by 4 and add to equation 2;

equation 3 * 4 will give;

-4x1 - 12x2 + 24x3 = 0..................... 5

add equation 5 to equation 2;

7x2-12x2-9x3+24x3 = 0

-5x2 - 15x3 = 0 .......... 6

5x2 = 15x3

x2 = 3x3

Let x2 = k

From equation 4;

k = 3x3

x3 = k/3

substitute x2 = k and x3 = k/3 into equation 1 to get x1 in terms of k

From 1, x1 + 2x2 - 3x3 = 0

x1+2k-3(k/3) = 0

x1 +2k-k = 0

x1 +k = 0

x1 = -k

Writing the answer in vector form will give (x1. x2. x3) = (-k, k, k/3)

k(-1, 1, 1/3)

Hence the answer to the system of equation in vector form is k(-1, 1, 1/3) where k is any constant.

Answer:

8

Step-by-step explanation:

The opposite of the opposite of 8 is just 8

Answer:

-8

Step-by-step explanation:

the opposite of 8 is -8 because of positive and negative numbers

Answer:

6893

Step-by-step explanation:

Answer:

6893 is the nearest whole number

Answer:

<KNM = 131

Step-by-step explanation:

<KNM + <MNJ= 180 so,

8x - 5 + 4x - 19 = 180-----> collect like terms----> 12x - 24 =180-----> add 24 on each side----> cancels out on the left-----> 12x = 204-----> divide by 12 on each side-----> x = 17------> plug in-----> < KNM = 8(17)-5 ---> <KNM = 131

Did this help?!?!?

Answer:

36.67%

Step-by-step explanation:

To find the percent, divide 165 by 450 (part over whole) and multiply by 100

(165/450) x 100

= 36.67

So, Tracey paid 36.67% of the original price

Answer:

see below

Step-by-step explanation:

given:

LCM(a,b) = 20160, a=60

find:

smallest possible value of b

solution;

60, b = 20,160

b = 20,160 / 60

b = 336

60 x 336 = 20,160

= 2⁶ x 3² x 5 x 7

= (2² x 3 x 5) x (2⁴ x 3 x 7)

= (60) x (336)

LCM(60,336) = 1680

consider the 2² x 3 to get the prime number:

= 336 x 12

= 4032

therefore,

LCM(60,4032) = 20160

The smallest possible value of b is 336.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We have been given that

LCM(a,b) = 20160 and  a = 60

We have to determine the smallest possible value of b

Since the product of two numbers equals the product of their HCF and LCM.

⇒ 60 × b = 20,160

⇒ b = 20,160 / 60

⇒ b = 336

⇒ 60 × 336 = 20,160

We need to write 20160 as the product of its prime factors, which is 20160.

⇒ 2⁶ × 3² × 5 × 7

⇒ (2² × 3 × 5) x (2⁴ × 3 × 7)

⇒ (60) × (336)

⇒ LCM(60,336) = 1680

Therefore, the smallest possible value of b is 336.

Learn more about the Prime Factorization here:

brainly.com/question/4184435

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