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

please help! look at picture!

Answers

Answer:

[tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]

Step-by-step explanation:

2 [tex]\frac{7}{8}[/tex] = [tex]\frac{23}{8}[/tex]

1[tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex] = [tex]\frac{14}{8}[/tex]

[tex]\frac{23}{8}[/tex] -[tex]\frac{14}{8}[/tex] = [tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]

Hey there! For this you will need to use the rule of subtracting fractions. 4 (the denominator) x 2 (to make it them equal) is 8. 3 x 2 is 6. The new fraction is 1 and 6/8. Now, subtract these to get your final answer, 1 and 1/8.

Hope this helps!

Also the same as the other problem

Answers

Answer:

30-60-90

Step-by-step explanation:

A 30-60-90 triangle is a right angled triangle

Please mark it as brainliest if it helped

Answered by Gauthmath

Answer:

A (30 - 60 - 90) right triangle has the side ratios: [tex]x, x\sqrt{3}, 2x[/tex].

Step-by-step explanation:

A right triangle with the angle measures (30 - 60 - 90) is often referred to as a special right triangle becaase its sides follow the following ratio,

The side;                                                          Angle it's opposite to;

[tex]x[/tex]                                                                        30

[tex]x\sqrt{3}[/tex]                                                                   60

[tex]2x[/tex]                                                                      90

Evaluate the expression when b=4.
b^2-7b+3

Answers

Answer:

16-28+3 do it now ok!!!!!!

Answer:

If b=4,

b^2-7b+3

=4^2-7(4)+3

=16-28+3

=-9

complete the square x^2+45=-14x

Answers


2
+
4
5
=

1
4

x
2
+
45
=

14
x
x2+45=−14x

2
+
4
5


1
4

=
0

A car salesman claims that the variance of prices on convertibles is higher than the variance on station wagons. To test this claim, he selects random samples of each type of car, and records the prices. The standard deviation of 16 convertibles is $6800 and the standard deviation of 24 station wagons is $3900. For , what is the p-value? Group of answer choices

Answers

Answer:

Hence the critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.

Step-by-step explanation:  

Hypotheses are:

[tex]H_{0}:\sigma_{1}^{2}=\sigma_{2}^{2}\\H_{a}:\sigma_{1}^{2}>\sigma_{2}^{2}[/tex]

Here we have s_{1}=6800 and s_{2}=3900. Here we will use F -test. The Value of test statistics is  

[tex]F=\frac{s_{1}^{2}}{s_{2}^{2}}\\\\F=\frac{6800^{2}}{3900^{2}}\\\\F=3.0401[/tex]  

Here the degree of freedom of the numerator is [tex]df_{1}=n_{1}-1=16-1=15[/tex] and The degree of the denominator is

[tex]df_{2}=n_{2}-1 \\\\=24-1=23 .[/tex]

The critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.  

Answer:

Step-by-step explanation:

Alaina wants to decide whether her current cell phone plan is better than a package that another company offers. To compare the two plans, she plotted two lines on a graph, where y represented the total cost of one month’s service and x represented the megabytes of data that she used in a month. Which part of the graph will represent the cost per megabyte of data used in each plan?

Answers

Answer:

The y-intercepts of the two lines will represent the cost per megabyte of data used in each plan.

Step-by-step explanation:

i also took the test

Answer:

The y intercept forms the two lines.

Step-by-step explanation:

I just took the test

Câu 2. Cho hình thang cân ABCD (AB // CD, AB CD). Gọi O là giao điểm của AD và BC, E là giao điểm của AC và BD. Chứng minh rằng: | a) Tam giác AOB cân ở O.
b) Các tam giác ABD và BAC bằng nhau. C) EC = ED
d) OE là trung trực của AB và CD.

Answers

Answer:

Step-by-step explanation:

Can someone help me

Answers

Answer:

G' (-2,-1) F' (-5,0) E' (-4,3)

Step-by-step explanation:

This is because R90(x,y)=(-y,x)

G(-1,2)=G'(-2,-1)

F(0,5)=F'(-5,0)

E(3,4)= E'(-4,3)

3. In a primary election, 35% of voters voted for Goron, 15% voted for Smith, 40% voted for Fishman, and 10% voted for other candidates. (a) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (b) Forty people voted for "Other." Was the estimate of total voters from Part (a) accurate? Explain.

Answers

Answer:

98 ppl voted for Gordan

Step-by-step explanation:

a) 35% of 280=98

b)  15% of 280=42

   40% of 280=112

    10% of 280=28

Add 98, 42, 112, and 28 and you get 280! Hope this helps :)

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

Value of tan( π/3 ):

[tex]{ \tt{ \frac{\pi}{3} = \frac{180}{3} = 60 \degree }}[/tex]

60° lies within the first quadrant.

[tex]{ \sf{ \tan( \frac{ \pi}{3} ) = ( \frac{1}{2} , \: \frac{ \sqrt{3} }{2}) }}[/tex]

Since it's a half:

[tex]{ \boxed{ \sf{ \tan( \frac{\pi}{3} ) = \sqrt{3} }}}[/tex]

Length of hypotenuse:

[tex]{ \bf{ \sin(31 \degree) = \frac{16.5}{h} }} \\ { \sf{h = 32.04}}[/tex]

Hypotenuse = 32.0

Please help, easy geometry work

Answers

Step-by-step explanation:

Find the slope of AB

: The slope is

[tex] \frac{7 - 0}{3 - 8} = - \frac{7}{5} [/tex]

Find the y intercept by plugging coordinates in

[tex]0 = - \frac{ 7}{5} (8) + b[/tex]

[tex]0 = \frac{ - 56}{5} + b[/tex]

[tex]b = \frac{56}{5} [/tex]

Find CD: We know that AB and CD are parallel to each other so this means they both have the same slope.

We can find the next point by subtracting 7 from the y coordinate of Point D, Adding 5 to the x coordinate of Point D.

Point C=(10,-2).

Find the y intercept by a plugging coordinates in

[tex] 5 = - \frac{7}{5} (5) + b[/tex]

[tex]5 = - 7 + b[/tex]

[tex]12 = b[/tex]

So the Equation of Line CD is

[tex] - \frac{7}{5} x + 12[/tex]

Here are the ages (in years) of 8 professors at a college.
61, 42, 61, 34, 49, 44, 36, 47
What is the percentage of these professors who are younger than 47?

Answers

Answer:

50%

Step-by-step explanation:

There are 8 professors. 4 of them are younger than 47 (not equal to 47, YOUNGER)

1. 42

2. 34

3. 44

4. 36

To find percentage we have to do 4/8 x 100

this equals to 50%

What is the value of x?

Answers

Answer:

x=5

Step-by-step explanation:

Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5

Solve the equation by finding square roots. x2-1/4=0

Answers

Answer:

x = ±1/2

Step-by-step explanation:

x^2-1/4=0

Add 1/4 to each side

x^2 -1/4+1/4 = 0+1/4

x^2 = 1/4

Take the square root of each side

sqrt(x^2) = sqrt(1/4)

x = ±1/2

Stuck on this question need help

Answers

Answer:

4y4 the 1st one

may this help you

URGENT!!! ABCD is parallelogram. If m

Answers

Answer:

angle BAD= angle BCD = 100

then,

angle BCD + angle ECD = 180

100+ angle ECD = 180

angle ECD= 180-100 = 80

angle ECD =80

State the slope of the line shown below (help ASAP)
Is it a, b, c or d?

Answers

Answer:

D

Step-by-step explanation:

(the above graph depicts a horizontal line that intersects the y axis at -2)

(so, y = -2)

Answer:

0

Step-by-step explanation:

Horizontal line x axis is 0 while the vertical y axis is undefined.

The difference between interior angle in centesimal measurement and sexagesimal measurement is 15° of a regular polygon. Find the number of sides of the polygon.​

Answers

Answer:

8

Step-by-step explanation:

x = centesimal angle (100 degrees in a right angle)

y = sexagesimal angle (90 degrees in a right angle)

x - y = 15

x×90/100 = y

x×9/10 = y

x - x×9/10 = 15

10x/10 - 9x/10 = 15

x/10 = 15

x = 150

y = 150×9/10 = 15×9 = 135

using centesimal system :

the sum of all external angles in a polygon is 400 degrees (a full circle).

one external angle is the complement of one internal angle to 200 degrees = 200-150=50 degrees.

to find the number of sides of the polygon we need to find the number of angles or corners. and that is how many external angles fit into the full circle.

n = 400/50 = 8

the polygon has 8 sides

The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
A.
f(x) = (x + 6)(x + 4)
B.
f(x) = (x + 6)(x − 4)
C.
f(x) = (x − 6)(x + 4)
D.
f(x) = (x − 6)(x − 4)

Answers

Answer:

C

Step-by-step explanation:

If x = a is a zero of f(x) then (x - a) is a factor of f(x)

Here the zeros are x = 6 and x = - 4 then the corresponding factors are

(x - 6) and (x - (- 4) ) , that is (x - 6) and (x + 4)

Then f(x) is the product of the factors

f(x) = a(x - 6)(x + 4) ( a is a multiplier )

If a = 1 , then

f(x) = (x - 6)(x + 4) ← is a possible choice → C

Answer:

С.

Step-by-step explanation:

f(x) = (x − 6)(x + 4)

x-6=0

x1=6

x+4=0

x2=-4

I need help to find y=

Answers

Answer:

I know but I will not tell you have to do by self

Please help me solve this I’ve been trying all day it’s impossible for me

Answers

Answer:

36; 18; -35; 0

Step-by-step explanation:

They break even again when their profit is zero, i.e. at the x-intercept (36).

The worst case scenario is when their profit is the lowest, i.e. at the minimum vertex where they produce 18 items for a profit (in this case loss) of -35 dollars.

The first root tells us that the profit will be zero when zero products are produced.

Suppose f(x) = x^2. what is the graph of g(x)

Answers

Answer:  g(x) = (1/16)*x^2

========================================================

Explanation:

Plug x = 4 into f(x) to find that f(4) = 16.

The output y = 16 drops to y = 1. We've multiplied by 1/16 to get this to happen.

In other words,

g(x) = (1/16)*f(x)

g(4) = (1/16)*f(4)

g(4) = (1/16)*16

g(4) = 1

So we can say that,

g(x) = (1/16)*f(x)

g(x) = (1/16)*x^2

and furthermore, we can say f(x) has been vertically compressed by a factor of 16.

Two numbers have a sum of 35 and an
LCM of 42. What are the two numbers?

HELP PLEASE <3

Answers

Answer:

14, 21

Step-by-step explanation:

LCM : least common multiplier.

x + y = 35

LCM = 42

means that there is a combination of 2 of the following divisors of 42 :

2, 3, 6, 7, 14, 21

so, which two of these numbers can create the sum of 35 ?

only 14 and 21

Which inequality is represented by this graph? ​

Answers

Answer:

x> 0

Step-by-step explanation:

There is an open circle at 0 so this means it is not equal to

The line goes to the right so x is greater than

x> 0

the perimeter of equilateral triangle is 21m. Find the area. Using Heron's Formula


plzzz answer fast i will mark brainliest.

Answers

Answer:

A ≈ 21.22 m²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where s is the semi perimeter and a, b, c the sides of the triangle.

Here the perimeter of the equilateral triangle is 21 m , then

a = b = c = 21 ÷ 3 = 7 m

s = 21 ÷ 2 = 10.5

Then

A = [tex]\sqrt{10.5(10.5-7)(10.5-7)(10.5-7)}[/tex]

   = [tex]\sqrt{10.5(3.5)(3.5)(3.5)}[/tex]

   = [tex]\sqrt{450.1875}[/tex]

   ≈ 21.22 m² ( to 2 dec. places )

Four thousand runners began the marathon. Eighty-nine percent of them completed the run. What percentage of the runner finished the marathon?

Answers

Answer:

3560 people.

Step-by-step explanation:

You have to do 89% × 4000.

Or 0.89×4000=3560.

So 3560 is the answer.

4,000 x .89 = 3,560 runners finished the marathon

14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks. (3 marks)

Answers

I dont think anyones gonna be helping you bud Ill repost the question for you and come back with the answer nobodys helpful rn and I dont know it myself really

The number of pairs of corresponding angles formed by a transversal of two
lines is

Answers

Answer:

When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles.


What is the surface area of the cylinder?
•9377 ft2
•5787 ft2
•1,156 ft2
•2891 ft2

Answers

Answer:

    3631.681108 ft^2

Step-by-step explanation:

The surface area of a cylinder is

SA = 2pi r^2 + 2pi r h  where r is the radius and h is the height

    = 2pi (17)^2  + 2 pi (17)(17)

    = 578pi +578pi

    = 1156pi

Approximate pi with the pi button

    3631.681108 ft^2

Please help
Solve for x

Answers

X= 15 but I’m not sure

Answer:

X=15 since it the same

Step-by-step explanation:

X is simply equal to 15 because it an equilateral triangle

Other Questions
a jet flew 2660 miles in 4.75 hours. what is the rate of speed in miles per hour? (the proportion would be 2660:4.75::x:1 set the proportion in fractional form and proceed to find x.) Air enters a nozzle steadily at 2.21 kg/m3 and 20 m/s and leaves at 0.762 kg/m3 and 150 m/s. If the inlet area of the nozzle is 60 cm2, determine (a) the mass flow rate through the nozzle, and (b) the exit area of the nozzle Which of the following statements best describes firms under monopolistic competition?Group of answer choicesProfits will be positive in the long run.Price always equals average variable cost.In the long run, positive economic profit will be eliminated.Marginal revenue equals the minimum average total cost in the short run. HELP ! Find the measure it the given angle. Which word in the following sentence in the subject pronoun Write an e-mail to a government or school official in which you propose an effective solution to a problem in your community or school. how is internet connection made possible. John and Diana have been married for several years and share a goal of owning a 2nd home on the New Jersey shore in 8 years. They decide to review their financial expenditures monthly to evaluate steps they can take to better save their earnings. Which step of personal financial goals are they most in Rearrange the Jumbled sentences:The Dog Went With Them.pls rearrange the jumbled sentences for this question guys.HELP MEPLS 18The length of a rectangle is twice as long as the width of the rectangle.The area of the rectangle is 32 cm.Draw the rectangle on the centimetre grid..454B2%I did it wrong can someone help me which scheduling algorithm allocate the CPU firt to the process that request the CPU first, (a) first come first serve,(b) shortest job scheduling , (c) priority scheduling , (d) round robin scheduling Which of the following is equivalent to (16^3/2)^1/2 In political cartoons two animals are used to represent the two major political parties which animal represents each party Depletion Entries Alaska Mining Co. acquired mineral rights for $9,432,000. The mineral deposit is estimated at 52,400,000 tons. During the current year, 7,850,000 tons were mined and sold. a. Determine the amount of depletion expense for the current year. Round the depletion rate to two decimal places. $fill in the blank b21c5bf8507dfbf_1 b. Journalize the adjusting entry on December 31 to recognize the depletion expense. If an amount box does not require an entry, leave it blank. The altitude of an equilateral triangle is 6v3 units long. The length of one side of the triangle isunits. Answer the following question in 3-4 complete sentences.Define the following terms and use each in a sentence related to the topic.- curvilinear- form Define the KPI rate of staff absenteeism. Im sorry if its difficult to readwe dont talk about how I messed up my first question and jad to make another one because im slow A student decides she wants to save money to buy a used car, which costs $2600.She comes upwith what she thinks is a very modest savings plan. She decides to save 2 cents the first day anddouble the amount she saves each day thereafter. On the second day she plans to save 4 cents, onthe third day, 8 cents, and so on.(a)Write an expression that represents the amount savedon dayn;(b)Write an expression that represents the total amount savedby dayn (including day n);(c)Determine how long it will take her to save enough money to buy the car (The answermay surprise you!) Listening effectively means that you accept 50 percent of the responsibility for receiving the same message that the speaker is sending, uncontaminated by your own thoughts or feelings.a. Trueb. False