30 points!! If line segment AB is dilated with a scale factor 1.5, what is the length
of the new line segment A'B'?
A) 5 cm
B) 7.5 cm
C) 12.5 cm
D) 15 cm

Answers

Answer 1

Answer:

B

Step-by-step explanation: You divide 30 by 1.5 and then divide 15 by t for segment A and then B

Answer 2

The length of the new line segment A'B' will be D) 15 cm.

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given a line segment AB is dilated with a scale factor of 1.5.

Assuming the line segment has a length of 10 units.

∴ Dilating by a scale factor of 1.5 the length of the dilated line segment A'B'

it will be 1.5(10) = 15 units.

learn more about transformation here :

https://brainly.com/question/11709244

#SPJ2


Related Questions

Maggie clams that there are transformations that preserve the length of the rectangles side. Which of the following transformations could be used to support Maggie’s claim?n

Answers

Answer: A B F

Step-by-step explanation:

true or false 2*10=2*10^3​

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

2*10 = 20

So your equation would look like this:

20 = 2*10^3

10 to the third power is 1000

1000*2 = 2000

2000 is not equal to 20

Hope I helped :)

Please consider Brainliest :)

Find the slope of the line y=4x+2

Answers

Answer:

M=4

Step-by-step explanation:

I hope this helps!

Express the number 7,980 in scientific notation.

Answers

Answer:

7.98x10^3

Step-by-step explanation:

10^3=1000

Answer:7.980 × 10^3

Step-by-step explanation:

Pls I’m rlly dumb it’s easy math picture here

Answers

Answer:

D. 2x, -4y and 8 :)

Step-by-step explanation:

An object is moving at a speed of 6 miles per month. Express this speed in feet per hour.

Answers

Answer:

44 ft/hr

Step-by-step explanation:

First, we convert miles to feet.

6 mi*5280 = 31680 feet

Now we convert a month to hours. For this question, lets say that a month is equal to 30 days.

30*24 hrs = 720 hrs

Now we have this speed -

31680 ft/720 hrs

Now we simplify this to -

44 ft/hr

So in conclusion, the speed of 6 miles per month is equivalent to the speed of 44 feet per hour.

insert two arithmetic means between 15 and 36​

Answers

Answer: a_1 = 15

a_4 = 36

a_n = a_1 + (n - 1)d

36 = 15 + (4 - 1)d

21 = 3d

7 = d

15, 22, 29, 36

These are the weekly wages paid to staff in a hotel.

£245
£140
£525
£163
£195
£174
£140

What is the range of these wages?

What is the mean wage?

Answers

Answer:

range is 525-140=385

The mean of a set of numbers is the sum divided by the number of terms. Mean= 226

Step-by-step explanation:

hope that helper, have a good one

Range = 525 - 140 = 385

Mean =

[tex](140 + 140 + 163 + 174 + 195 + 254 + 525) \div 7 = 226[/tex]

I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!​

Answers

Answer:answer is b

Step-by-step explanation: Just makes since

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
a) Simplify the expression and explain each step. (2 points)
4(3x+2)−2
b) Factor the expression completely. (1 point)
20b−16

Answers

Answer:

Step-by-step a) Simplify the expression and explain each step.

4(3x + 2) - 2

b) Factor the expression completely.

20b - 16

f(n)= 4n+4
g(n)= n + 1
Find (f + g)(n)

Answers

(F+g)(n) = f(n)+g(n) = 4n+4+n+1 = 5(n+1)

i’ll literally give you 45 points but please answer it correctly i have a D in math class

Answers

I wrote out the answers on top of the sheet. Hope this helped!

Un comerciante tiene en cartera una letra de 14000 con vencimiento a 2 años y le somete a un descuento bancario 1 año y 8 meses antes de su vencimiento a una taza de 14%anual con capitalización trimestral ¿cuanto recibira el propetario de la letra ?

Answers

Answer:

dud

Step-by-step explanation:

fjfn

kgoipyx

vbjjkkkkkkjjjjhcblxkcjl

Help this is due at 11:59

Answers

Answer:

A

Hope this helped ;)

Itssssssndjdnhfhfn a

What's another way to express the expression [4(17) + 3(25)] x 5?

Answers

Answer:

715

Step-by-step explanation:

[4(17) + 3(25)] x 5

(68+3*25)*5

(68+75)*5

143*5

175

What is 120 divided by 55

Answers

Answer:

2.2

..................

120/55

PLEASE HELP,, thank you so much if you do
i’m really confused on how to answer this question could anyone who understands this please help me
i’ll give brainliest

Answers

Answer:

(x)^2+(5)^2=(9)^2

Step-by-step explanation:

(a)^2+(b)^2=(c)^2

(x)^2+(5)^2=(9)^2

x^2+25=81

-25 -25

x^2=56

x=28

p.s. this ^2 means squared

Lollollollollollollollollollollollollollollollollollollollollollollollollollollollollol pt. 3

Answers

lolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllolllol

here's a picture of a seal

i hope you like it

I need to turn this in by tomorrow!!!!! PLEASE HELP ME.

Answers

Step-by-step explanation:

Alternate interior angles :- 1 , 4

corresponding angles :- 3

same side interior angles :- 2 , 5 , 6

if x=2+ root 3 then find the value of (x-1/x)^3​

HELP ASAP

Answers

Answer:

10 and ten-elevenths

Step-by-step explanation:

x = 2 + _/3

(x-1/x)^3

(2+_/3)^3 - (1÷2+_/3)^3

= (8 + 3) - 1 ÷ (8 + 3)

= 11 - 1/11

= 10 10/11

Evaluate and reduce:
3
4
35 - -
F
Enter the number that belongs in the
green box.

Answers

Answer:

28

Step-by-step explanation:

35/5 ÷ -3/4

=7÷ (-3/4)

=7× (4/-3)

=(7×4)/-3

=- 28/3

the minus is already placed in the question, that makes the answer 28 without the minus

Need help on both plz will much appreciated

Answers

Answer:

4= 7 as the answer

5= 12/52

Step-by-step explanation:

Each batch makes 24 cookies. You make x batches of cookies, but eat 5 cookies as you are baking. Write an expression for the number of cookies that you have.

Answers

Answer:

24x-5

Step-by-step explanation:

x= number of batches

24x -5

The SAT is required of most students applying for college admission in the United States. This standardized test has gone through many revisions over the years. In 2005, a new writing section was introduced that includes a direct writing measure in the form of an essay. People argue that female students generally do worse on math tests but better on writing tests. Therefore, the new section may help reduce the usual male lead on the overall average SAT score (The Washington Post, August 30, 2006). Consider the following scores on the writing component of the test of eight male and eight female students.


Males Females
620 660
570 590
540 540
580 560
590 610
580 590
480 610
620 650
570 600
610 620
590 630
570 640
610 590
590 640
570 580
550 560
530 570
560 560
620 600
520 600
560 590
620 590
580 590
610 630
530 560
480 600
590 560
620 560
590 560
580 560

Required:
a. Construct the null and the alternative hypotheses to test if females outscore males on writing tests.
b. Assuming the difference in scores is normally distributed, calculate the value of the test statistic. Do not assume that the population variances are equal.
c. Implement the test at α=0.01 and interpret your results.

Answers

Answer:\

a

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 \le 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 > 0[/tex]

b

[tex]t  = -0.39[/tex]

c

The conclusion

There is sufficient evidence to conclude that the female outscores the male.

Step-by-step explanation:

From the question we are told that

  The  sample size for male  is  [tex]n_1  =  30[/tex]

    The sample size for female is  [tex]n_2  =  30[/tex]

 The level of significance is  [tex]\alpha = 0.01[/tex]

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 \le 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 > 0[/tex]

Generally the sample mean for male is  

     [tex]\= x_1  =  \frac{\sum x_i}{n_1}[/tex]

=>   [tex]\= x_1  =  \frac{620 + 570 +540 + \cdots + 580  }{30}[/tex]

=>   [tex]\= x_1  =  574.33 [/tex]  

Generally the standard deviation of  male is  

     [tex]s_1 = \sqrt{\frac{\sum (x_1 - \= x)^2}{n_1} }[/tex]

=>  [tex]s_1 = \sqrt{\frac{ (620 - 574.33)^2 + (570 - 574.33)^2 +  (540 - 574.33)^2 + \cdots +(580 - 574.33)^2  }{30} }[/tex]

=>  [tex]s_1 =206.24 [/tex]

Generally the sample mean for female is  

     [tex]\= x_2  =  \frac{\sum x_i}{n_2}[/tex]

=>   [tex]\= x_2  =  \frac{660 + 590 +560 + \cdots + 560  }{30}[/tex]

=>   [tex]\= x_2  =  593.33 [/tex]      

Generally the standard deviation of  male is  

 [tex]s_2 = \sqrt{\frac{\sum (x_1 - \= x)^2}{n_2} }[/tex]

=>  [tex]\sigma_1 = \sqrt{\frac{ (660 - 593.33)^2 + (590 - 593.33)^2 +  (560 - 593.33 )^2 + \cdots +(560 - 593.33)^2  }{30} }[/tex]

=>  [tex]s_2 =169.31 [/tex]

Generally the degree of freedom for unequal  variance is mathematically represented as  

[tex]df  =  \frac{[\frac{s_1^2}{n_1}  +\frac{s_2^2}{n_2}   ]^2}{ \frac{[\frac{s_1^2}{n_1}]^2}{n_1 -1}  +\frac{[\frac{s_2^2}{n_2}]^2}{n_2 -1}  }[/tex]

=> [tex]df  =  \frac{[\frac{206.24^2}{30}  +\frac{169.31^2}{30}   ]^2}{ \frac{\frac{206.24^2}{30}}{30 -1}  +\frac{\frac{169.31^2}{30}}{30 -1}  }[/tex]

=>[tex]df  = 56[/tex]

Generally the test statistics is mathematically represented as

  [tex]t  = \frac{\= x _1- \= x_2 }{\sqrt{\frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}} }[/tex]

=> [tex]t  = \frac{574.33- 593.33 }{\sqrt{\frac{206.24^2}{30}  + \frac{169.31^2}{30}} }[/tex]

=> [tex]t  = -0.39[/tex]

From the t distribution table the value of  [tex]P(t < -0.39)[/tex] at a degree of freedom of  [tex]df  = 56[/tex] is  

   [tex]P(t <  -0.39) = 0.3490080[/tex]

Hence the p-value  is   [tex]p-value =  0.3490080[/tex]

From the values obtained we see that the p-value  is  >[tex]\alpha[/tex]

Hence we fail to reject the null hypothesis.

The conclusion is  

  There is sufficient evidence to conclude that the female outscores the male

 

simplify the expression and explain each step.
1. 4(3x + 2) -2
2. factor the expression completely 20b -16

please explain how to solve! will mark brainliest​

Answers

Answer:

is the 3x a expression ill comment the awnser if is

Step-by-step explanation:

If your gross annual income is $80,400 and your employer will match 50% of your retirement
contributions to your 401k up to your maximum contributions of 6% of your salary, what is
the maximum dollar amount that together you and your employer will contribute annually?

Answers

Answer:

Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!

Step-by-step explanation:

To solve the problem -9 + 18 what is the first step?
a. KCO (keep change fli[p)
b. Subtract 18 - 9
c. Subtract 9 - 18
d. Add 9 + 18

Answers

Answer:

Step-by-step explanation:

solve -3x^2=150
please help me ​

Answers

Answer:

x=5i√2,−5i√2

Tap to view steps...

Step-by-step explanation:

math, way, . , com

Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)

Answers

Answer:

The coordinates of the midpoint of LB are (1, 3.5)

Step-by-step explanation:

The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let us use this rule to solve the question

∵ M is the midpoint of segment LB

∵ The coordinates of point L are (8, 5)

x1 = 8 and y1 = 5

∵ The coordinates of point B are (-6, 2)

x2 = -6 and y2 = 2

→ Substitute these values in the rule of the mid point above

∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]

→ Remember (+)(-) = (-)

∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]

∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]

M = (1, 3.5)

The coordinates of the midpoint of LB are (1, 3.5)

Given a 45-45-90 triangle with the hypotenuse measuring 5√7 feet. Which is the exact measure of each leg?

Answers

It is the length of 5 and 4
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