GH bisects LM at K. LK = 5x+2 and LM = 64 Find x

GH Bisects LM At K. LK = 5x+2 And LM = 64 Find X

Answers

Answer 1

Answer:

x = 6

Step-by-step explanation:

Since GH bisects LM at K , then

LK = [tex]\frac{1}{2}[/tex] LM , that is

5x + 2 = [tex]\frac{1}{2}[/tex] × 64 = 32 ( subtract 2 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Answer 2

The value of x is 6.

Here,

GH bisects LM at K.

LK = 5x+2 and LM = 64

We have to find the value of x.

What is Bisection in line?

Bisecting a line is cutting a line exactly in half. It may also be referred to as constructing a perpendicular bisector as the line you are drawing will be at a right angle to the original line.

Now,

GH bisects LM at K.

LK + KM = LM

2 LK = LM

2 ( 5x + 2 ) = 64

5x + 2 = 32

5x = 30

x = 6

Hence, The value of x is 6.

Learn more about the Bisection of line visit:

https://brainly.in/question/10606306

#SPJ2


Related Questions

Help I don’t get this

Directions: Write rack of the following statements using a symbolic language.


2. A number is four times larger than the square of half the number.

3. Steven has some money. If he spends $9.00, then he will have of the amount he started with.

4
The sum of a number squared and three less than twice the number is 129.

5. Miriam read a book with an unknown number of pages. The first week, she read five less than of the pages. The
second week, she read 171 more pages and finished the book. Write an equation that represents the total number
of pages in the book

Answers

Answer:

2.)4n>(n/2)^2

3. (The problem isn't clear)

4.)n^2+2n-3=129

5.)n-5=171

Step-by-step explanation:

2.)

4n(four times the number) >(larger than) (n/2)^2 (half the number squared)

4.)

Sum=addition

n^2 (number squared) +2n (twice the number)-3=129

5.)

N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)

Please help! Thank you

Answers

Answer:

(a) 1:12

(b) 12:1

(c) 1:100

(d) 100:1

Find the distance between the two points!
PLEASE DO THIS ASAP!!
no links

Answers

Answer:

5

Step-by-step explanation:

The distance is given by sqrt((-3-0)^2+(-3-1)^2)=sqrt(9+16)=5

Answer:

I believe the distance equals 5

Step-by-step explanation:

Use the distance formula and plug in the numbers. Then solve.

When the input is 1, what is the output of the function? That is, find the value of g(1).

Answers

Answer:

g(1) = 1

Step-by-step explanation:

In this situation, one is given a graph of the function (g(x)), and one is asked to evaluate the function (g(x)) for (1). An easy way to do so is to find (x = 1) on the coordinate plane, then draw a vertical line at this point. Note the place where (x = 1) intersects the graph of (g(x)). The (y-coordinate) of this intersection point is the output of the function (g(x)).

The line (x = 1) intersects the function (g(x)) at the point (1, 1). Thus (g(1) = 1).

When you subtract two positive integers is the result always a positive integer

Answers

Sai vì số Nguyên dương nhỏ trừ số nguyên dương lớn bằng số nguyên âm

The pizza restaurant down the street wants to advertise on its marquee sign the number of ways you can order a $10 pizza. The restaurant offers 18 toppings and for $10 you can order up to 4 toppings, meaning you can either order 1, 2, 3, or 4 toppings and you can’t order any toppings twice. Use this information to answer the following questions:

a. Is this a permutation problem, a combination problem, or a problem using both elements?
b. Determine how many ways you can order a pizza from the restaurant. Explain what strategies you used.
c. If there were no restriction on the number of toppings you could choose, how would that change the answer?

Answers

Answer:

Step-by-step explanation:

Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula.

Answers

The Euler's formula relates the vertices, faces and the edges of a polyhedron.

The correct option is (e) [tex]V = 6[/tex]    [tex]E = 10[/tex]    [tex]F = 6[/tex]     [tex]6- 10 + 6 = 2[/tex]

First, we count the number of faces. This is the flat parts of the shape.

The attached shape has 6 flat surfaces.

So:

[tex]F = 6[/tex]

Next, we count the number of edges. This is where two faces meet.

The attached shape has 10 edges;

So:

[tex]E = 10[/tex]

Lastly, we count the number of vertices. This is where two edges meet.

The attached shape has 6 vertices.

So:

[tex]V = 6[/tex]

Using Euler's formula, we have:

[tex]V - E + F = 2[/tex]

Substitute values for V, E and F

[tex]6- 10 + 6 = 2[/tex]

[tex]2 = 2[/tex]

Hence, the polyhedron has 6 vertices, 10 edges and 6 faces

Read more vertices, edges, and faces at:

https://brainly.com/question/23347978

Find the measure of the missing arc KN labeled on the graph. Show ll your work that leads the final answer. *

Answers

Answer:

Arc KN = 201°

Step-by-step explanation:

Recall: According to the tangent-secant exterior angle theorem, the measure of the vertex angle formed at an external point where a tangent and a secant meet outside a circle is ½ of the difference between the intercepted major and minor arcs.

Applying this to the problem given, we have:

m<L = ½(Arc KN - Arc KM)

m<L = 70° (given)

Arc KN = ?

Arc KM = 61°

Substitute

70° = ½(Arc KN - 61°)

2*70° = Arc KN - 61°

140° = Arc KN - 61°

140° + 61° = Arc KN

201° = Arc KN

Arc KN = 201°

Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).

Answers

Answer:

(1,-4)

Step-by-step explanation:

We add 4 to the x-coordinate, so -3+4=1.

will mark brainliest!!

picture included ^^^^

please and THANK YOU


^^!!

Answers

Answer:

shift the graph up 1 unit

Step-by-step explanation:

d is the vertical shift

+1 means we shift the graph up 1 unit

20 POINTS - 1 EASY QUESTION



You’ve seen two methods for finding the area of ΔABC—using coordinate algebra (by hand) and using geometry software. How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using geometry software?

Answers

Answer and explanation:

How are the two methods similar? They both apply the fundamentals of triangle geometry in solving the area of a triangle using the formula for area of triangle 1/2×base of triangle×height of triangle.

How are they different? Using coordinate algebra in finding area of a triangle, you would have to measure coordinates(xy coordinates) of a triangle manually on the graph and find y coordinates based on x. If you used a geometry software, it would get these coordinates automatically(based on your graph on the software) and calculate area of triangle using the formula.

Why might coordinate algebra be important in making and using geometry software? A solid grasp of coordinate algebra allows you understand how the geometry software works because it makes use of same geometry fundamentals, making it easier for you to tweak and get the best value out of the software for your geometry calculations.

Answer:

They all use the same formula for area of triangle 1/2 base of triangle height of triangle to identify the area of a triangle using the essentials of triangle geometry.To find the area of a triangle using coordinate algebra, you must configure way of measuring the triangle's coordinates like the x and y coordinates on the graph and afterwards find the y coordinates depending on the x coordinates. If you were using geometry software, it would immediately determine the area of the triangle by using formula based on your graph on the software.Because geometry software uses the same geometry basic concepts as coordinate algebra, having a proper understanding of coordinate algebra makes it simpler to improve.

Step-by-step explanation: im sorry if this doesn't help or if its incorrect more than welcomed to add some stuff to it!

In a sequence, the first term is 6 and the common difference is 4. The thirtieth (30th) term of
this sequence is
1) 118
2) 122
3) 1261
4) 130

Answers

If the first term is 6, there are 29 terms left until the 30th term so you do 29 x 4 = 116 then do 6 + 116 = 122

Determine the values of n and m so that the following system have infinite number of solutions

Answers

Answer:

n = 3

m = -1/2

Step-by-step explanation:

Multiply the second equation by 4

4(n - 2)x + y = 4(n + m)          Y is now correct.

4(n - 2) = 4                              Remove the brackets    

4n - 8 = 4                                Add 8 to both sides

4n = 8 + 4                               Combine

4n = 12                                    Divide by 4

n = 3                                        x is now correct

4(n - 2) = 4

4(3 -2) = 4

4 = 4

Now you have to worry about m

4(n + m) = 10

n = 3

4(3 + m) = 10                               Divide by 4

m + 3 = 10/4

m + 3 = 2.5                                 Subtract 3 from both sides.

m = 2.5 - 3

m = - 1/2  

I need help!!

Find the height of this cone using the Pythagorean Theorem.

Answers

Answer:

h = 4sqr(3)

Step-by-step explanation:

r = d/2

d =  8

r = 8/2

r = 4

a = 4

c = 8

b = h = ?

a^2 + h^2 = c^2

4^2 + h^2 = 8^2

16 + h^2 = 64

h^2 = 64 - 16

h^2 = 48

sqrt(h^2) = sqrt(16*3)

h = 4 sqrt3)

Answer:

48

Step-by-step explanation:

which of the binomials below is a factor of this trinomial x2+6x-40

Answers

Answer:

x2 - 16x + 28 = (x - 2)(x - 14)

Step-by-step explanation:

Even though you don't mention any factors below, it is easy to tell that the above-given two factors must be the ones you are looking for.

Once upon a time, there was a former whose family raised pigs and chickens. One morning, the farmer's wife looked into the barnyard and told her husband that she counted 24 heads and 80 feet. How many chickens are in the yard? How many pigs are in the yard?

Answers

Using a system of equations, it is found that:

There are 8 chickens in the yard.There are 16 pigs in the yard.

-----------------------------------------

This question is solved using a system of equations. I am going to say that:

x is the number of chickens.y is the number of pigs.

-----------------------------------------

A chicken has 1 head, as do a pig.There are 24 heads.

Thus:

[tex]x + y = 24 \rightarrow y = 24 - x[/tex]

-----------------------------------------

A chicken has 2 feet.A pig has 4 feet.In total, there are 80 feet.

Thus:

[tex]2x + 4y = 80[/tex]

-----------------------------------------

Number of chicken:

Since [tex]y = 24 - x[/tex]

[tex]2x + 4y = 80[/tex]

[tex]2x + 4(24 - x) = 80[/tex]

[tex]2x + 96 - 4x = 80[/tex]

[tex]2x = 16[/tex]

[tex]x = \frac{16}{2}[/tex]

[tex]x = 8[/tex]

There are 8 chickens in the yard.

-----------------------------------------

Number of pigs:

[tex]y = 24 - x = 24 - 8 = 16[/tex]

There are 16 pigs in the yard.

A similar problem is given at https://brainly.com/question/24104709

Given: In Parallelogram ABCD,
• mA = (7y+13)º
• m2B = (106 - 2x)º
• mC = (10y - 32)º
• m2D = (3x – 4)º

What are the values of x and y

Answers

Answer:

x = 110

y = 15

Step-by-step explanation:

AB is parallel to CD

angle B and angle D are alternate and they are equal

106-2x = 3x-4

106 + 4 = 3x - 2x

110 = x

same goes for y

7y + 13 = 10y - 32

13 + 32 = 10y - 7y

45 = 3y divide both sides by 3

15 = y

In the parallelogram below,
z = [ ? ]°
124°
2z+16°

Helpp!

Answers

2z+16+124=180

2z=180-16-124

2z=40

z=40/2

Z=20°

I hope I helped you ^_^

Find the volume of this sphere please help

Answers

Answer:

Volume = 108 ft³

Step-by-step explanation:

Volume of a sphere is given by the expression,

V = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = Radius of the sphere

From the picture attached,

Radius of the sphere = 3 ft

By substituting the value of r in the expression,

Volume = [tex]\frac{4}{3}\pi (3)^{3}[/tex]

             = 36π

             = 36×3

             = 108 ft³

If YWZ=17, what is WXY?

34
56
17
73

Answers

Answer:

73

Step-by-step explanation:

17×2=34

180-34=146

146/2=73

=73

A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.20 meters per week. After 7 weeks, the sheet is only 2.42 meters thick. Let y represent the ice sheet's thickness (in meters) after x weeks.
Complete the equation for the relationship between the thickness and number of weeks.

Answers

Answer:

Step-by-step explanation:

We know that the thickness of the lake decreases at a rate of 0.2 meters per week, so we can write:

S(t)=-0.2t+4

we also know that after 7 weeks, the sheet is only 2.42 meters thick, which means we can write:

S(7)=2.42

S(7)=-0.2*7+X

S(7)=-1.4+X

2.42=-1.4+X

X=3.82

So, the function is: S(t)=--0.2*t+3.82

Answer:

y = 3.8 - 0.2x

Step-by-step explanation:

Khan Academy

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The students in Shawn's class got to choose whether to visit the zoo or the aquarium. 3 students went to the zoo and 15 students went to the aquarium. What is the ratio of the number of students who went to the zoo to the number of students who did not go to the zoo?
A. 1:6
B. 1:1
C. 1:3
D. 1:5

Answers

Answer:

either it's 1:3 or 1:6

Step-by-step explanation:

3 students went to the zoo, and 15 students went to the aquarium.

15 plus 3 is 18.

3/18 then reduces to 1/6

therefore it is:

1:6

(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)

What is 15+(-11) simpyfied​

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

4

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\15+(-11)\\----------------\\\rightarrow 15 +1(-11)\\\\\rightarrow 15 - 11\\\\\rightarrow \boxed{4}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

your answer will obviously be 4

Please help. I don't understand anything.

Answers

Answer:

A

Step-by-step explanation:

The area of figure=Area of rectangle+Area of triangle

Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)

Area of figure=x^2-x-6+0.5*x^2+x

Area of figure=(3/2)x^2-6

Answer:

A, M(x)=3/2 (x^2-6)

Step-by-step explanation:

Let's calculate the area of the figure 1st,

Area of figure=Area of triangle+Area of rectangle

                      =1/2 b*h + l*b = 1/2 (x+2)x + (x+2)(x-3)

                      =(x^2+2x)/2+x^2 - x - 6 =(x^2+2x+2x^2 - 2x -12)/2

                      =3x^2-12/2=3/2(x^2-6)

In the options,

M(x)=3/2 (x^2-6) is given, so it best represents the area.

Hello! Hello ! guys. or any genius of math. can you help me on this math problems. this question is out of my answer.

could you help me.
if your answer is correct there is a big changes to get brain list answer and 2 followers from my two accounts.

don't need to follow back. ​

Answers

Answer:

we have to convert that question centimeters to meters

Step-by-step explanation:

I think all are going to be less as you change all of them.

Number of subsets of B={p,q,r}​

Answers

Answer:

Step-by-step explanation:

B = {p , q , r}

Number of subsets = [tex]2^{n}[/tex]

Her, n  is the number of elements in the set.

Number of subsets = 2³ = 8

Answer:

Sorry I don't know the answer

the process of finding the indefinite integral. Give an example to provide emphasis.​

Answers

Answer From Gauth Math

there are 7 socks in a bag 3 of those socks are blue what is the probability of picking a Blue sock randomly from the bag. Answer as simplified fraction of the form a/b​

Answers

Answer:

3/7

Step-by-step explanation:

there are is a total of 7 socks and 3 are blue making blue socks be 3/7

A tank initially has 300 gallons of a solution that contains 50 lb. of dissolved salt. A brine solution with a concentration of 2lb of salt/gallon is admitted into the tank at a rate of 6 gallons per minute. The well-stirred solution is drained at the same rate. How long will it take for the tank to have 100 lb. of dissolved salt

Answers

Let s(t) be the amount of salt in the tank at time t. Then s(0) = 50 lb.

Salt flows into the tank at a rate of

(2 gal/min) (6 lb/gal) = 12 lb/min

and flows out at a rate of

(2 gal/min) (s(t)/300 lb/gal) = s(t)/150 lb/min

so that the net rate at which salt is exchanged through the tank is

ds(t)/dt = 12 - s(t)/150 … (lb/min)

Solve for s(t). The DE is separable, so we have

ds/dt = 12 - s/150

150 ds/dt = 1800 - s

150/(1800 - s) ds = dt

Integrate both sides to get

-150 ln|1800 - s| = t + C

Solve for s :

ln|1800 - s| = -t/150 + C

1800 - s = exp(-t/150 + C )

1800 - s = C exp(-t/150)

s = 1800 - C exp(-t/150)

Now given that s(0) = 50, we solve for C :

50 = 1800 - C exp(-0/150)

50 = 1800 - C

C = 1750

Then the amount of salt in the tank at any time t ≥ 0 is

s(t) = 1800 - 1750 exp(-t/150)

To find the time it takes for the tank to hold 100 lb of salt, solve for t in

100 = 1800 - 1750 exp(-t/150)

1700 = 1750 exp(-t/150)

34/35 = exp(-t/150)

ln(34/35) = -t/150

t = -150 ln(34/35) ≈ 4.348

So it would take approximately 4.348 minutes.

By the way, we didn't have to solve for s(t), we could have instead stopped with

-150 ln|1800 - s| = t + C

Solve for C - this C is not the same as the one we found using the other method. s(0) = 50, so

-150 ln|1800 - 50| = 0 + C

C = -150 ln|1750|

==>   t = 150 ln(1750) - 150 ln|1800 - s|

Then s(t) = 100 lb when

t = 150 ln(1750) - 150 ln(1700)

t = 150 ln(1750/1700)

t = 150 ln(35/34)

t ≈ 4.348

Graph the system of inequalities. Then state whether the situation is infeasible, has alternate optimal solutions, or is unbounded. (Assume that x>0 y>0

Answers

Answer:

x

[tex]x \leqslant - y + 1[/tex]

Steps are show in the picture above.

Other Questions
SAT scores are normally distributed with a mean of 1,500 and a standard deviation of 300. An administrator at a college is interested in estimating the average SAT score of first-year students. If the administrator would like to limit the margin of error of the 88% confidence interval to 15 points, how many students should the administrator sample? Make sure to give a whole number answer. Where to place aed pads on a ten year old Please help Im really stuck!! What is the difference of the two polynomials?(9x2 + 8x) (2x2 + 3x)7x2 + 5x7x2 + 11x11x2 + 5x11x2 + 11x Which of the following is a start codon?A.UAGB.AUGC.UAAD.UGA You have been asked to help a small office with a limited budget set up and configure a Windows network. There are only five computers in this office. In addition to the ability to share network resources, security is a top priority.Which of the following is the BEST course of action in this situation?A. Install a HomeGroup to provide a single login and simplify security and sharing.B. Install a WorkGroup to provide a single login and simplify security and sharing.C. Install a WorkGroup to allow each device to control what is shared and with whom.D. Install a HomeGroup to allow each computer to control which items are shared and who can access them. what is the simailar meaning in concept sler TestSelect the correct location on the image.Identify the position on the graph that gives the carrying capacity of the population.populationy 12,0001,500Population Size1,000500062412 18Time (months)ResetNext silicon and _______ stay in the the outer cells pls tell me fast corruption is a social problem. how What is the difference between-5and2 Read the excerpt from act 5, scene 5, of Julius Caesar.[BRUTUS.] It is more worthy to leap in ourselvesThan tarry till they push us. Good Volumnius,Thou knowst that we two went to school together.Even for that, our love of old, I prithee,Hold thou my sword hilts, whilst I run on it. . . .So fare you well at once, for Brutus tongueHath almost ended his lifes history.Night hangs upon mine eyes; my bones would rest,That have but laboured to attain this hour. . . .I prithee, Strato, stay thou by thy lord.Thou art a fellow of a good respect.Thy life hath had some smatch of honour in it.Hold then my sword, and turn away thy faceWhile I do run upon it. Wilt thou, Strato?STRATO. Give me your hand first. Fare you well, my lord.BRUTUS. Farewell, good Strato.[Runs on his sword]Caesar, now be still:I killed not thee with half so good a will.Which paraphrase from the passage best explains Brutuss motivation in this scene?Brutus wants to be remembered by Caesars ghost.Brutus wants to make way for Cassius to rule Rome.Brutus wants a more honorable death than to be killed by his enemies.Brutus wants to prove to Volumnius that he and Caesar were good friends. In a geometric sequence, t4 = 8 and t7 = 216. Find the value of t2Question 14 plz show ALL STEPS ASAP When deep ocean currents reach the volcano, they have been forced upward. Which is the best way to write the underlined portion of this sentence? If the original is the best way, choose option (A). A. have been B. are C. were D. will be E. been write the greatest and smallest four digit number by using 7,8,0,9 digit show the work please and thank you Based on predicted production of 26,000 units, a company anticipates $507,000 of fixed costs and $448,500 of variable costs. The flexible budget amounts of fixed and variable costs for 24,000 units are (Do not round intermediate calculations): (07.03. 07.04 MC)Part A: The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Showyour work (5 points)Part B: The area of a rectangle is (4x2 - 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work(5 points) Find m/ELM if m/ELM = 15x - 1, m/KLE = 20, and m/KLM = 17x - 1. what is the area of the figure below?