Given that ABC~LMN
What is the length of AC?

Given That ABC~LMNWhat Is The Length Of AC?

Answers

Answer 1

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

[tex] \frac{AB}{LM} = \frac{AC}{LN} [/tex]

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

[tex] \frac{5}{10} = \frac{x + 5}{3x + 3} [/tex]

Cross multiply

[tex] 5(3x + 3) = 10(x + 5) [/tex]

[tex] 15x + 15 = 10x + 50 [/tex] (distributive property)

Collect like terms

[tex] 15x - 10x = -15 + 50 [/tex]

[tex] 5x = 35 [/tex]

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12


Related Questions

If an orca is 200 m below the surface of the water and then swims up and jumps 5 m in the air, what is the total distance it traveled?

Answers

Answer:

Total distanced traveled = 205 m

Step-by-step explanation:

200 m+5 m=205 m

(can u guys help me PLSSSSS ) A company sets sales goals for employees each month.


A: At her current pace, how many items will Kristina sell in 28 days?

B:Is she on track to meet the goal? Explain

Answers

A. Kristina will sell 294 items in 28 days if she stays on her current pace.
B. She is not on track to meet the goal. By doing the math she would only sell around 294 items by day 28 when she needs to sell around 400 to reach her goal. if she keeps this pace she won’t reach that goal unless she is able to bump up her weekly count by 2-5 items then she can either hit the goal or go over.

Is this a function? Explain with full sentence
[(2,3) (2,4) (2,5) (2,3)]

Answers

Answer:

no their is not supposed to be any repeating x's

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Is 8/18 closer to 0 1/2 or 1

Answers

1/2, 8/18 = 4/9, which is close to 4/8 wich is equal to 1/2

Answer:

Closer to 1\2

Step-by-step explanation:

half of 18 is 9 and if you add 1 to 8 you get 9 so 8\18 is closer to 1\2

Hope it helps!

A. 50 degrees
B. 130 degrees
C. 9 units
D.22 units
E. 13 units

Answers

Answer: all i can do hope this helps a bit 2. 130 degrees

5. 13 units

Please help me with this question

Answers

Answer:

1. 3 x 2 = 6 / 4 x 3 = 12 = 6/12 [simplify] = 1/2 thats the first answer, just do how i did it to get the others, its pretty simple

The last one is 4/9.

what is the best estimate for the length off a car?
5 meters
5 kilometers
5 milimeters
5 centimeters

Answers

Answer:

5 meters

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

;)

Add these two expressions … 15.5y - 10.3 and -35.4y + 5

Answers

Answer:

-19.9y-5.3

Step-by-step explanation:

Hi I got -19.9y-5.3 hope it’s right

please give correct answer <3 :(

Answers

Answer:

216g^3

Step-by-step explanation:

6g^3 g^3

6g^3 = 6g * 6g * 6g = 216g^3

Answer:

[tex]216g^{3}[/tex]

Step-by-step explanation:

6^3 x g^3=

6^3=216

216g^3

A $300 suit is marked down by 10%. Find the sale price.
The sale price is $
(Round to the nearest dollar as needed.)

Answers

Answer:

The answer is $270

Step-by-step explanation:

1. Take the original price.

2. Divide the original price by 100 and times it by 10.

3. Move the decimal one place to the left.

4. Minus this new number from the original one.

5. This will give you the discounted value.

I hope this helped! :)

Find the slope of the line.

3,2 6,3

Answers

the slope is 1/3 or m=1/3

For the given fact below, which subsequent true/false statement is true?

Answers

Answer:

Step-by-step explanation:

Mel passed the math class.

Mel failed the math class.

Mel likes math.

Mel took math this semester.

Question 15

10 Points

Indicate the most appropriate if-then statement that the English sentence represents:

People 25 years or older do not pay an additional car rental fee.

If a person is 25 years old or older, then the person does not pay an additional car rental fee.

If a person is 25 years old or younger, then the person does not pay an additional car rental fee.

If a person does not need to pay an additional car rental fee, then the person is 25 years old or older.

Unknown

Question 16

10 Points

Given: If X, then Y. If Y, then Z.

Y is true. So:

X is unknown, Z is unknown

X is unknown, Z is true

X is false, Z is true

X is true, Z is true

Question 17

10 Points

Using everyday knowledge, which of the following statements is an if-then statement whose reverse is also correct?

If the TV is unplugged, then the TV will not turn on.

If the light bulb was recently on, then the light bulb is hot.

If an ambulance has emergency lights on, then cars on the road pull over.

If the wind is blowing, then the weather is chilly.

Question 18

10 Points

Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.

Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling.

/ Statement 2: If the sprinklers are on, then the grass is wet.

Forward-only / Forward-only

Forward-only / Forward and reverse

Forward and reverse / Forward-only

Forward and reverse / Forward and reverse

Question 19

10 Points

Given: If A AND B, then C. Given: The if-then statement's reverse is also correct. Given A is false, B is false. What is C?

True

False

Both true and false

Unknown

Question 20

10 Points

What pages will be favored for the given search? Search terms: Michael OR Jordan

Pages about Michael Jordan

Pages about Michael, plus pages about OR, plus pages about Jordan

Pages about Michael, plus pages about Jordan

Pages about Michael, plus pages about Jordan, plus pages about both

Question 21

10 Points

The rules for a soccer player receiving a yellow card are as follows:

IF a player

delays-restart

OR (dissents-by-word OR dissents-by-action)

OR ((enters OR re-enters OR leaves) AND NOT (had-permission))

OR ((corner-kick OR free-kick OR throw-in) AND fails-respect-distance)

OR commits-persistence-offences

THEN the player should receive a yellow card

A player leaves the field with permission. Later, the player re-enters the field without permission. The player:

Should receive a yellow card

Should not receive a yellow card

Should receive a yellow card only if the player also delays the restart

Should receive a yellow card only if committing all the other 4 offenses too

Question 22

10 Points

What percentage of people partake in physical activity and abstain from smoking, but do not eat fruit and vegetables?

1%

5%

10%

14%

Question 23

10 Points

Given the true/false statements are true (facts), select the best logical induction made from those statements:

Mo likes oranges. Jai likes oranges. Ben likes oranges.

People don't like apples

People only like oranges

People like oranges

People like fruit

Question 24

10 Points

Given a function described as the table below, what is y when x is 2?

0

1

2

4

Question 25

10 Points

Given a function described as the graph below, what is y when x is 3?

1

3

6

10

Question 26

10 Points

The figure below shows total costs for three gym memberships. Which is the most accurate statement?

Of the 3 memberships, Monthly is cheapest for under 5 months, while Standard is cheapest for over 10 months.

Platinum is costliest for any duration

Monthly is cheapest for any duration except for 5-10 months

Standard is cheapest for a duration between 5-10 months; other plans are cheaper for shorter or longer durations.  

Question 27

10 Points

The figure shows estimated medical costs versus what a user actually pays for three health insurance plans with different deductibles. For which plan does the user pay the least for estimated medical costs of $4,000?  

$500 deductible plan

$1,000 deductible plan

$2,000 deductible plan

The user pays the same for all three plans.

Question 28

10 Points

What is the value of cell C2?

2

24

50

64

Question 29

10 Points

What formula should be entered in A3 to compute A1 divided by C3?

=A3/A1

=A1/C3  

=A1*C3

=C3/A1

Question 30

10 Points

Based on the vertical bar chart below, in which of the following months were approximately 10% of professional European soccer players born?

January

April  

October

December

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Details & Information

 

Assessment due date

2/2/21, 1:59 AM (EST)

 

Goals & standards

Aligned with 2 goals

 

Attempts

1 attempt left

Grading

Maximum points

300 points

Description

Complete the midterm exam. You have one attempt at the exam. So, be sure you review all previous course

Hence , correct option is Option B i.e. Mel did pass the class.

How to Solve:

The statement says that Mel scored C+ is Chemistry.

We will approach our answer logically by examining each option.

Option A says Mel does not like chemistry. This Cannot be true because maybe Mel likes chemistry but he just has scored less or maybe this C+ is an achievement for Mel.

Option B says that Mel did pass the class. This is possible because a student is considered as not qualified if he/she scores D or below, but Mel has scored C+ which is above the qualifying criteria.

Option C says that Mel did not achieve a passing grade for the class which is false because C+ is a passing grade scored by Mel.

Option D is Mel took math this semester which doesn't makes any sense.

hence, Option B is correct.

Learn more about Assertion and Reason at:

https://brainly.com/question/20834329

#SPJ2

HELP ASAPP!!!!!!!!!!!!!!!!

Answers

Answer:

1st one

Step-by-step explanation:

[tex] \frac{1x}{8} + \frac{1x}{8} \\ \frac{2 x}{8} = \frac{1x}{4} [/tex]

find the slope please​

Answers

The slope of the line is 2.

The slope is going up from left to right, so it'll be positive to start with. From there you have to do rise over run. That is pretty much how many units up and in towards the slope do you have to go until you find 2 points that are in the center of the line. In this case, the rise over run is 2/1 which equals 2.

May I have brainliest please? :)

a rock is thrown into a pond from a bridge above. The path the rock follows can be modeled by the equation h = - 16t^2 +44t + 12, where t is time and h is the height of the rock. Which of the following expressions is equivalent to this expression?

Answers

Ans

Step-by-step explanation:i dont know

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answers

Complete Question

Table of Annual CPI values

2003-184.00            

2004-188.90

2005-195.3

2006-201.6

2007-207.342

2008-215.303

2009-214.537

2010-218.056

2011-224.939

2012-229.594

2013-232.957

2014-236.736

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answer:

[tex]C=27535.5881128[/tex]

Step-by-step explanation:

From the question we are told that

CPI for 2003(index)=2003-184.00  

CPI for 2013(index)=2013-232.957  

Starting salary in 2013 at $34,862

Generally  comparable starting salary C is given as

   [tex]C=\frac{starting salary}{CPI for 2013(index} *CPI for 2003(index)[/tex]

   [tex]C=\frac{34,862}{232.957} *184[/tex]

Therefore C the comparable starting salary is givrn to be

   [tex]C=27535.5881128[/tex]

   [tex]C=27536 appro[/tex]

What is the equation for calculating the area of a triangle?

A = 1/4 base · height
B = length · width
C = pi · height
D = 1/2 base · height

Answers

Answer:

A= 1/2 base*height

Step-by-step explanation:

: )

The correct equation for calculating the area of a triangle is D = 1/2 base · height.

The equation for calculating the area of a triangle is D = 1/2 base · height. This formula represents the most commonly used method for finding the area of a triangle.

To use this formula, you multiply the base of the triangle by its corresponding height, and then divide the result by 2.

This is because the area of a triangle is equal to half the product of its base and height.

By dividing by 2, we account for the fact that a triangle is essentially half of a parallelogram.

Therefore, the correct equation for calculating the area of a triangle is D = 1/2 base · height.

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ4

A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the
doghouse?

Answers

A: 59.5ft^2

You need to add the top length and the bottom length, and then multiply that answer by the vertical height of the shape.

7 + 10 = 17
17/2 = 8.5
8.5 x 7 = 59.5

You can also double check this by working out the area of the square and then the area of the triangle, and adding them together.

7 x 7 = 49
7 x 3 = 21
21/2 = 10.5
49 + 10.5 = 59.5

PLEASEE HELP IM BEGGING YOU

Answers

Answer:

1 7/12

Step-by-step explanation:

Its 1 7

/12

Answer:

1 7/12

Step-by-step explanation:

Hope this helps!

Brainiest?

Express in the form 1:n
Give n as a fully simplified fraction.

12:2

Answers

Answer:

divide 12

12/12 : 2/12

1 : 2/12

1 : 1/6

n=1/6

One number is two times the other, and their sum is 27. What are the numbers?

Answers

Answer:

9 x 3 =27

Step-by-step explanation:

Answer:

13.5

Step-by-step explanation:

if you divdie 27 by 2 you get 13.5.

Could somebody pls help me with this question

Answers

simplify to 1 hour which will be 6 minutes in 1 hour

in 3 hours it will be 18 minutes

Answer:

18 minutes is the answer

Step-by-step explanation:

•Time couple rested in 2 hrs = 12 min

•Time couple rested in 1 hr = 12/ 2 min = 6min

•Time couple rested in 3 hrs = 6×3 min = 18 min

HOPE IT HELPS YOU

MARK ME AS BRAINIEST

AND YOU CSN THANK ME IN THE COMMENT

for each one fifth, use a horizontal line or lines to show fractions equivalent to 1/5 and write the equivalent fractions

Answers

Answer:

2/10

Step-by-step explanation:

what is equivalent to 2 with a little 4

Answers

Answer:

16 is your answer

Step-by-step explanation:

plz mark brainliest to help rank ;)

Your answer is 16 :)

4x-5+2r= -11

What is the value of x?

Answers

It would be 2x+r=-3

Hope this helps

Have a great day/night

The variables y and x have a proportional relationship, and y = 9 when x = 2. What is the value of y when x = 3? Enter your answer as a decimal in the box. ​

Answers

If they have a proportional relationship, then set them up as a proportion

9/2 = y/3.....9 to 2 = y to 3
cross multiply
(2)(y) = (9)(3)
2y = 27
y = 27/2
y = 13.5 <== so when x = 3, y = 13.5

NEED HELP!!! I’ll report if your putting random answers down

Answers

Answer:

First blank: 8

Second Blank: 16

Third Blank: 56

Step-by-step explanation: Hope I helped

8, 16, 56
7*8= 56
5*8 + 2*8
40+ 16
56

10. One number is twenty more than eight times another number. The sum of the
numbers is eleven. Find the two numbers.

Answers

Answer:

the two numbers are 12 and -1.

Step-by-step explanation:

Let the large number be represented by x and the smaller number by y.

So that;

x = 8y + 20 .................. 1

x + y = 11 ................... 2

From equation 2,

x = 11 - y .......... 3

Substitute equation 3 into equation 1 to have,

11 - y = 8y + 20

11 - 20 = 8y + y

-9 = 9y

divide through by 9 to have,

y = -1

Substitute the value of y in equation 3,

x = 11 - (-1)

  = 11 + 1

  = 12

x = 12

x = 12, y = -1

The two numbers are 12 and -1.

Katie's baby took 3 naps. Each nap was of an hour long.
6
How long did the baby nap in all? Move numbers to the blanks to answer the question.

Answers

Answer:

18 naps

Step-by-step explanation:

We have the keyword each, so we are multiplying, so our equation is:

3 x 6 = 18

So, Katie's baby napped for 18 hours in all

Answer:

18 is the answer  

I need help with This one

Answers

Answer:

1 and 2

Step-by-step explanation:

If y was 1: -2 x 1 + 18 = -2 + 18

= 16  This works

If y was 2: -2 x 2 + 18 = -4 + 18

= 14  This works

If y was 3: -2 x 3 + 18 = -6 + 18

= 12  This does not work since -2y + 18 has to be greater than 12.

Your answer would be 1&2 I hope this helps!!!!!!!!!
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