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

Learning Task 1: Give the value and the place value of the underlined
digits. Write your answers in your notebook.
Value
Place
Value
1. Sixteen hundredths
2. Three hundred and nine ten
thousandths
3. Eleven and ten hundredths
4. Fifty-two and four hundred ninety-three
ten thousandths
5. Seven hundred and four ten
thousandths
E​

Answers

Answer:

Value place value

1. 0.016. hundredths

2. 0009. ten thousandths

3. 00011. ten thousandths

4. 0.00093. ten thousandths

5.0004. ten thousandths

Step-by-step explanation:

(−5x2+4x−2)+(−8x2+2x+1)

Answers

Answer:-13x2+6x-1

Step-by-step explanation: I think

How can I tell that a graph is a function or not?

Answers

Answer:

You can use the vertical line test, which means anywhere you put it on the graph it should only pass through the line once.

Step-by-step explanation:

This insures that the graph does not have two of the same x values. However if it has two points that have the same x values that means it will not be a function.

hi i need help fastttttttttttttt

Answers

Answer:

Step-by-step explanation:

1) 9,06

2) 85,3018

3) 0,052121

4) 0,917123

5) 17,9807

6) 2267,96

7) 169,07

8) 0,211338

Answer: 1) 9,06

2) 85,3018

3) 0,052121

4) 0,917123

5) 17,9807

6) 2267,96

7) 169,07

8) 0,211338

Step-by-step explanation:

Three times a number is 4 than twice the number

Answers

the answer is four i believe
3x = 4x2 is the answer

Kayla climbs 57 steps in 40 seconds.
At that rate, how many steps could she
climb in 160 seconds?

Answers

Answer:

225 steps Can Be climbed by her.

Step-by-step explanation:

Its simple The LCM OF 60 AND 40 IS 2

THEREFORE

60= 40/2 multiplied by 3

60= 20 X 3

= 60

similarly to 150 seconds

150/2 *3

= 75 X 3

= 225 steps.

Answer:

228

Step-by-step explanation:

If x = 8 and n = 3, Evaluate the following expression: 3x - 3n + 2

Answers

Answer:

7

Step-by-step explanation:

3x8-3x3+2

24-3x3+2

24-9+2

15+2

=17

please tell me what a term is ​

Answers

A term is a single mathematical expression. It can be a number, a variable, several variables that have to be multiplied or sometimes have variables with a number in front (coefficient).

please help if u can! :))))

Answers

Answer: 0.8

Step-by-step explanation:

The formula to find area of a parallelogram is A = bh. This means that area = base x height. You can manipulate this formula to what height equals instead of the area. To do that, you can divide b on both sides. This would make the equation h = A/b.

Now that you know how to find what height equals, first find the base of the parallelogram. To find b, multiply 6 x 5. 6 x 5 = 30. This means that your base is 30.

Take the information given to you in the problem about the area. The area is given to you. We know that the area is 24 squared units. Remember what the equation to find height is. It's h = A/b. Substitute the variables for your numbers. h = 24/30.

24/30 = 0.8.

This means that your height is 0.8. This would be 8/10 in fraction form, but you can simplify it further to 4/5.

Hope it helps. Good luck!

slope of and a ​y​-intercept of :−56

Answers

Answer:

Step-by-step explanation:

your questions may have left out what the slope is.. but.. what ever it is.. just use m =  ( your number )

and plug it into this slope-intercept formula  [ y = mx +b }

y = mx -56 ..  just plug your slope into the variable m

n − 32 5 = 10 help plz

Answers

Answer:

n=335

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

n − 325 = 10  equation

Step 2

n − 325 = 10  simplify by adding 325 to both sides

Answer

n=335

Write an expression, using an exponent that is equivalent to 6 x 6 x 6 x 6 x 6.

Answers

Answer:

6^5

Step-by-step explanation:

put the 5 and make it tiny on top of the 6

Answer:

6^5 to give u the same thing as 6×6×6×6×6×6

Last week, Laura volunteered at the community clean-up event and earned 2 patches for her scout uniform. She spent 4 minutes sewing the patches onto her uniform. This week, Laura spent the week at the scout camp and earned another 6 patches.
If Laura sews at the same rate, how many minutes will she spend sewing her new patches onto her uniform?

Answers

Answer:

12

Step-by-step explanation:

let's say number of patches is x, and amount of time is y. the time per patch is k.

k * x = y

2 * k = 4

k = 2

2 * x = y

2 * 6 = 12

Find the slope intercept equation of the line

PLEASE SOMEONE HELP WHO UNDERSTANDS HOW TO DO THESE BECAUSE I KEEP GETTING THE WRONG ANSWER!!!

Answers

Step-by-step explanation:

For every 3 blocks across, the line graph goes up by 2 blocks. Therefore the slope of the line is 2/3.

The line also intercepts the y-axis at -3.

Hence the slope-intercept form is y = 2/3 x - 3.

When doing slope I suggest using slope triangles:) make a dot at -3, then go to the right 3 spaces, from this point go up 2 spaces and make another dot. Do that for as long as you need your line to be:) When you go up 2 spaces use that last dot and go over 3 spaces and up 2. Keep repeating

which letters show the function rising?
A) A
B) E
C) A and E
D) A, B, and E

Answers

Answer:

c) a and e

Step-by-step explanation:

literally look at it b is just highest point, c is decreasing, d is lowest point... a is rising and e is also rising

What is 31/32 ÷ 31/32

Answers

Answer:

9.765625×10−4

Step-by-step explanation:

Evaluate 3x-5y when x=5 and y=1

Answers

Plug in the values
3(5) - 5(1)
15 - 5 = 10

Solution: 10

Answer:

10

Step-by-step explanation:

Place it in.

3(5)-5(1)

15-5

10

Hello :)
Please help me solve this

Explain answer

Answers

Answer:

[tex]Scale\ Factor = \frac{1}{2}[/tex]

ABC dilated

Step-by-step explanation:

Given

Triangles ABC and DEF

Required

Determine the scale of dilation

First, we pick a side on ABC

[tex]AB = 6[/tex]

Pick a corresponding side on DEF

[tex]DE = 3[/tex]

The scale factor is then calculated as:

[tex]Scale\ Factor = \frac{DE}{AB}[/tex]

[tex]Scale\ Factor = \frac{1}{2}[/tex]

i.e. ABC was dilated by 1/2

The slope of the line below is -1/7. Write a point-slope equation of the line
using the coordinates of the labeled point.

Answers

Answer:

D

Step-by-step explanation:

It’s d

What value is true of x makes this equation true 0.7x-5=0.2x+1

Answers

Answer:

x=12

Step-by-step explanation:

First you make sure x is on both sides of the equation. So you do 0.7x-5-0.2x=0.2x+1-0.2x. Which just simplifies to 0.5x-5=1. You make sure x is the only thing on that side of the equation so you do 0.5x-5+5=1+5 which simplifies to 0.5x=6. Multiply the equation times 2 to just have x. x=12. The value that makes true of x is 12.

32. The price of a box of tarts is $1 cheaper than that of a loaf of bread. If 3 times the price of a
loaf of bread is $29.5 more than half of the price of a box of tarts, find the price of a box of
tarts.
A. $4.3
B. $7.7
C. $9.84
D. $13

Answers

Answer: $8.60

Step-by-step explanation:

Let the price of a bread = x

Let the price of a tarts = x - 1

If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:

3 × x = 1/2 × (1 - x) + 29.5

3x = 0.5 - 0.5x + 29.5

3x + 0.5x = 29.5 + 0.5

3.5x = 30

x = 30/3.5

x = 8.6

Photo attached please help

Answers

Answer:

A

Step-by-step explanation:

conjugate means we flip the sign between the two terms.

the two terms here are 5 and √(x+4), with a minus sign in between. we flip the minus sign to a plus sign to find the conjugate.

A fits this

A square has a area of 4m^2. What is the length of each side?

Answers

Answer: If by m you mean meters and not a variable, then you get 4 for the length of the sides. If you mean m as a variable, then the answer is 2m

Step-by-step explanation: First simplify the equation by squaring 4. This gives you the area, which is 16. Then take the square root of 16 to get the area, which is 4. If m is a variable in the equation then you must take the square root of  (4m^2) and the answer you get for the side length you get is 2m

This answer should be correct but isn’t any ideas?

Answers

Answer:

f = 6 cm

g =  8 cm

Step-by-step explanation:

ABCD   f*g = 48

ABCE   f*g + 1/2 (4*f) = 60

48 + 2f = 60

2f = 12

f = 6

g = 48/6 = 8

In the 2006 season, Tom Brady threw for 3,529
yards. In the 2007 season, he threw for 2,806
yards. What is the percentage decrease

Answers

20.4873901955% decrease
3529-2806=723
(723/35290)x100= 20.4873901955

First, work out the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100. If the answer is a negative number, this is a percentage increase.

Answer:

59.02%

Step-by-step explanation:

SO SORRY THAT THIS IS LATE anyway what you is minus the biggest number by the smallest number which would be 3,529 - 2,806 = 723

BECAUSE 3,529 is the original number you would do 723 / 3,529 = 0.5902521

then you would times that number by 100

0.5902521 x 100 = 59.02%

hope this helps

Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the pile if one sander can take 6.9 m of sand, how many sanders can be filled from the pile

Answers

Answer:

1. The volume of the pile is 4,399.7719 m^3

2. The number of sanders to be filled from a pile is 638

Step-by-step explanation:

Here, we firstly would calculate the volume of the pile

Mathematically, that will be;

V = 1/3 * pi * r^2 * h

from the question, h = 14.2

Mathematically, r = d/2

r = 34.4/2 = 17.2 m

So the volume will be:

V = 1/3 * 3.142 * 17.2^2 * 14.2

V = 4,399.7719 m^3

To find the number of sanders to be filled,

we simply divide the volume obtained by the volume a sander can take

That will be;

4,399.7719/6.9

= 637.6 which is 638

Will give brainiest plus 30 points if you answer correctly
What is the value of x?
Enter your answer in the box.
x =

Answers

Answer:

x =6

Step-by-step explanation:

PLEASE ANSWER ASAP!!!!!!!!!!!!
Solve the problem:
7 ( w + 3)
whats w?

Answers

Answer:

3

(the w is a variable, or a placeholder for the unknown)

Step-by-step explanation:

Distribute:

7*w =7w

7*3=21

so now you have 7w+21

Divide:

now you would divide 21 and 7w by 7, the 7 would get canceled out, so you are left with 21/7 which equals 3

Please help. :))))))

Answers

Answer:

6 because 9 is the length and you only do length times height and 54 divided by 9 is 6 therefore the height is 6

Answer:

6units

Step-by-step explanation:

A=bh

54units^2=9*h

h=54/9

h=6units

If there are 1/18 cups of brown sugar per serving, how much brown sugar will you need for 9 servings ?

Answers

Answer:

1/2 cups of brown sugar.

Step-by-step explanation:

1/18 per serving

9 servings

multiply 1/18 by 9.

Your answer is 9/18, which can be reduced to 1/2. Hope this helps

Answer:

[tex] = ( \frac{1}{18} \times 9) \\ = \frac{1}{2} cups \: of \: brown \: sugar[/tex]

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