Use the figure and find LN, if LM=6x and MN=2x+12

Answers

Answer 1

Answer:

LN

= LM + MN

= 6x + 2x + 12

= 8x + 12


Related Questions

give the answer of this question by using prime factorization in exponential form 486×768​

Answers

Answer:

its 373248

Step-by-step explanation:

I got this by 2squared 9 and 3squared 6

Work out angle BXC.
Give a reason for each angle you work out.

Answers

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

The measure of angle BXC is 70°

What s transversal?

"It is a line that passes through two lines in the same plane at two different points."

What are parallel lines?

"These are the lines in the same plane that are at equal distance from each other and never meet."

What are isosceles triangle?

"It is a triangle having any two sides equal in length."

For given example,

We can observe that XY and BD are parallel lines and AB is the transversal.

Here,

∠AXY = ∠XBC                                  ..............(Corresponding angles)

⇒ ∠XBC = 55°

In figure, for ΔXBC the sides XB and XC are equal.

So, ΔXBC is an isosceles triangle.

We know, for isosceles triangle, angles opposite to equal sides are equal in measure.

⇒ ∠XBC = ∠XCB

⇒ ∠XCB = 55°

We know, the sum of all angles of the triangle is 180°.

⇒ ∠XBC + ∠XCB + ∠BXC = 180°

⇒ 55° + 55° + ∠BXC = 180°

⇒ 110° + ∠BXC = 180°

⇒ ∠BXC = 70°

Therefore, the measure of angle BXC is 70°

Learn more about the angles formed by parallel line and transversal here:

https://brainly.com/question/15464186

#SPJ2

2) divide 54kg in the ratio 1:5=​

Answers

Answer:

9:45

Step-by-step explanation:

1:5= 6 parts

54/6=9

9*1=9

9*5=45

9:45

Answer:

9kg and 45kg

Step-by-step explanation:

In fraction from 1:5 is equivalent to  1/(1+5) = 1/6 and 5/(1+5) = 5/6.

So the answer is 54 * 1/6 and  54 * 5/6.

= 9 and 45.

A number pattern was created by dividing the previous term by 3. If the starting value for the pattern was 135, which of the following shows the resulting pattern?
A.
135, 45, 30, 5...
B.
135, 45, 15, 5...
C.
135, 45, 15, 2...
D.
135, 45, 30, 25...

Answers

Answer:

B. 135, 45, 15, 5...

Step-by-step explanation:

I'll go in order from 135 using the pattern shown (tᵇ/3)

135 / 3

135 = 120 + 15

135/3 = (120/3) + (15/3)

135/3 = 40 + 5

135/3 = 45

All four answer choices show this, so no elimination yet.

45 / 3

45 = 30 + 15

45/3 = (30/3) + (15/3)

45/3 = 10 + 5

45/3 = 15

A and D show 30 as term 3, so they are out.

15 / 3

15/3 = 5

C shows 2 as term 4, so that is also out.

This leaves B as the correct answer.

if AB= 5 what is the exact length of BD in square ABCD ​

Answers

Answer:

sqrt 50

Step-by-step explanation:

First of all this is a square so if AB = 5, then AD is also 5.

Let's get rid of the other triangle and only focus on triangle ABD.

Using Pythagorean theorem we are able to solve this problem.

The Pythagorean Theorem basically states that:

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.

Substitute these numbers in: 5^2 + 5+2 = c^2

Solve: 50 = c^2

c= sqrt 50

^ and that is our answer!

Find the area of a circle with radius,
r
= 7.46m.
Give your answer rounded to 2 DP.

Answers

Answer:

174.74m²

Step-by-step explanation:

♪\(*^▽^*)/\(*^▽^*)/

in the computer lab, there are 1 PC every 5 Mac computers. if the computer lab has a total of 24 computers, how many are Mac?

Answers

Answer:

20 of the computers are Mac

Step-by-step explanation:

if 1 pc = 5 Mac

4 pc = 20 mac

add 4 + 20 you get 24 which is the total number of computers

3/4x-4=-19
Whats is the solution to the equation?

Answers

Answer:

x=-20

Step-by-step explanation:

A new bank customer with 3000​$ wants to open a money market account. The bank is offering a simple interest rate of ​1.7%

Answers

Answer:

interest = $5.1

Step-by-step explanation:

Find the measure of each numbered angle

Answers

1:81 Degrees
2:109 Degree
3&4:90 Degrees

Answer:

1. 71 degrees    2. 109 degrees    3. 90 degrees     4. 90 degrees

Step-by-step explanation:

109 + 71 = 180 (straight line)

so the other side (under) of 109 degrees is 71 degrees. That angle is the same angle as 1 because that same line (transversal)  runs through both parallel lines.

The angle diagonal from 2 is 109 because it mirrors the same measurements as the one on the left. Angle 2 is the same angle as 109 degrees because it's a vertical angle. All vertical angles are equal.

Because the same line on the bottom runs through the parallel lines then the same angles apply to both on the bottom. The right one is a 90 degree angle

which makes both 3 and 4 90 degrees because 90 + 90 equals a straight line 180 degrees.

Write in slope intercept: slope=2/3 y-intercept =-1

Answers

Answer:

y=2/3-1.

Step-by-step explanation:

Slope intercept is the easiest out of the forms because you just plug in what is given. Here you are given 2/3 for the slope and the y-int Is -1.

The formula for slope intercept is y=mx+b

m= slope

b= y-int

And you just plug it in.

so the answer would be: y=2/3-1. Hope this helps!

Picture attached below

Answers

Answer:

it's answer is B. 4/5

Step-by-step explanation:

perpendicular (p) = 8

hypotenuse (h) = 10

sin < A

= p/h

= 8/ 10

= 4/ 5

Hope it will help :)

Solve this please question

Answers

Answer:

the speed will be 3 meters

Step-by-step explanation:

Answer:

speed is 3m

Step-by-step explanation:

cause i did count the 3 lines so i did have the 3m and it say their is 1m per 1 line and count the line and you have 3m hope it help!!

4(x-5)=10(x-10)

solve for x

Answers

Answer:

40/3

Step-by-step explanation:

4x -20 = 10x -100 (Distributive Property)

4x -10x = -100 +20 (I swith the numbers so all of them are similar)

-6x= -80 (Divide -6 on both sides)

And you will get 40/3 or 13.3333..

Answer:

x = 40/3

Step-by-step explanation:

4(x-5)=10(x-10)

=> 4x - 20 = 10x - 100

=> 4x - 10x = - 100 + 20

=> -6x = -80

=> x = 80/6

=> x = 40/3

What does 5/12 - 1/3 equal?

Answers

Answer: 1/12

Step-by-step explanation:

5/12 - 1/3

1/3 = 4/12

5/12 - 4/12 = 1/12

The answer to 5/12-1/3 equals 1/12

Write an equation of the line with a slope of
-
and y-intercept of -6.
y

Answers

Answer:

Y = mX+C

Y =mX-6

Y =m(0)-6

Y = -6

the line passes through origin so

X=0

(0,6)

I WILL GIVE YOU BRAINLY PLSS


Which of the following is in the solution set (would appear in the shaded region of
the graph) for the inequality + 7 > 9?
A. 6
B. -6
C. -4
D. 2


SHOW YOUR WORK PLSS

Answers

Answer:

the answer Is D.2

Step-by-step explanation:

9 is greater than 7 by 2

So I took that in a test and I think the answer would be A

simplify. e^(in x)=, e^(in 5)=, e^(in 3x)=

Answers

Answer:

Step-by-step explanation:

e^ lnx  = x

e^ ln5 = 5

e^ ln 3x = 3x

I think you get the idea... e is an inverse operation to ln  :o

Answer:

Simplify.

ln e =

✔ 1

ln e2x =

✔ 2x

ln 1 =

✔ 0

Simplify.

eln x =

✔ x

e ln 5 =

✔ 5

e ln 3x =

✔ 3x

Step-by-step explanation:

(4x^2y)^2 · 2(7(3))^4

Answers

I hope this helps .

Before getting to school, Jason has a few errands to run. Jason has to walk 10 blocks to the theater, and 12 blocks to the gallery, before walking the final 6 blocks to arrive at school. If Jason has already walked 7 blocks, how many more blocks must he walk before arriving at school?

Answers

Answer:

11

Step-by-step explanation:

6(x+4)+1= pleaseee help

Answers

The answer is this I think 6x+25

A line with a slope of 1/3 passes through (-5,r) and (4,1).
To make this work correctly, the value of r=

Answers

Answer: Add the 1/3 to look for the r



Judith received the following amounts of money for doing chores: $5, $7, $3.50, $5, and $8. Give the mean, median, mode, and
range for her earnings.

Answers

Answer:

Step-by-step explanation:

Hey! I need some help with this question I'm not very good with math so if anyone would be willing to help me out id be grateful thx.
An asteroid is 10^{8} miles away from earth, and it is traveling at a speed of 10^{5} miles per day.

How many days will it take the comet to reach earth?

Answers

Answer:

It will take 10^3 days for the comet to reach earth.

Step-by-step explanation:

10^8 = 100,000,000

10^5 = 100,000

100,000,000/100,000 = 1,000

1,000 is equal to 10^3

PLEASE HELP !!! ASAPPPP Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.


O 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3 fraction.

O 1 over 4 of 10 times the sum of 5 and 3, minus 3

O 3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10

O 10 times fraction 1 over 4 plus 3 and 5, minus 3

Answers

Answer:

I think its the first one...

Step-by-step explanation:

Answer:

First one

Step-by-step explanation:

If x and y vary directly, and x = 12 when
y = 4, what is the value of x when y = 1 ?

Answers

Answer:

3

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation:

y for x

4 for 12

1 for ?

Cross multiply

4? = 12 x 1

4? = 12

Divide both sides by 4

? = 3

When y = 1, x = 3.

Hope that helped!

(b) The perimeter of a rectangular window is 298 cm.
If the length of the window is 81 cm, what is its width?
Width of the window: cm

Answers

Answer:

68

Step-by-step explanation:

81 +81 is 162

298-162=136

136/2=68

what is the radical of 508.0015677?

Answers

Answer:

I have the same question and I need it answeeed

Step-by-step explanation:

Answer:

22.538890116862454

Step-by-step explanation:

......

Find the length of side a.

Answers

Answer:

Answer B) 5

Step-by-step explanation:

Set [tex]a^{2}=c^{2}-b^{2}[/tex]

[tex]a^{2}=13^{2}-12^{2}[/tex]

Please please help please please ASAP

Answers

Answer:

a

Step-by-step explanation:

tan is the opposite divided by the adjecent. The opposite of x is 24 and the adjecent of x is 18, so you would get 24/18 but you have to simplify which simplified is equal to 4/3

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