Given: Circle O with diameter LN and inscribed angle LMN
Prove: Angle L M N is a right angle.

Circle O is shown. Line segment L N is a diameter. Points L, M, N, and K are on the circle. Lines connect each point.

What is the missing reason in step 5?


Statements

Reasons
1. circle O has diameter LN and inscribed angle LMN 1. given
2. Arc L K N is a semicircle 2. diameter Circle divides into 2 semicircles
3. circle O measures 360o 3.
measure of a circle is 360o

4. m Arc L K N = 180o 4. definition of semicircle
5. m∠LMN = 90o 5. ?
6. ∠LMN is a right angle 6. definition of right angle
HL theorem
inscribed angle theorem
diagonals of a rhombus are perpendicular.
formed by a tangent and a chord is half the measure of the intercepted arc.

Answers

Answer 1

Answer:

B : inscribed angle theorem

Step-by-step explanation:

Answer 2

The missing reason in step 5 is; Inscribed angle theorem.

Inscribed angle theorem

Within the context of circle geometry, an inscribed angle is the angle formed in the interior of a circle as a result of the intersection of two chords on the circumference of the circle.

Put differently, an inscribed angle is defined by two chords of the circle sharing an endpoint.

Ultimately, since the chords LM and MN intersect on the circumference, with LM being the diameter of the circle, then the measure of angle LMN is 90°.

Read more on inscribed angle theorem;

https://brainly.com/question/5436956


Related Questions

what is the answer please

A line contains the point (-2, 2) and isparallel to the line y = ½x + 8. What is the
equation of this parallel line?

Answers

Answer:

Step-by-step explanation:

y - 2 = 1/2(x + 2)

y - 2 = 1/2x + 1

y = 1/2x + 3

Find an expression which represents the difference when (10x−8y) is subtracted from (-4x-9y) in simplest terms.

Answers

Answer:

-14x - y

Step-by-step explanation:

-4x - 9y - (10x - 8y)

-4x - 9y - 10x + 8y

-14x - y

Please help! 20/20. Will give brainliest! Spam answers will not be tolerated!
Factor. 4x² + 8x + 4

Answers

Answer:

4(x+1)^2

Step-by-step explanation:

i hope this helps :)

[tex]{ \sf{ \underline{ \red{factorise{ \: \: 4 {x}^{2} + 8x + 4}}}}}[/tex]

[tex]{ : { \implies{ \sf{ \green{4 {x}^{2} + (4x + 4x) + 4}}}}} \\ \\ \\ { : { \implies{ \sf{ \green{4 {x}^{2} + 4x + 4x + 4}}}}} \\ \\ \\ { : { \implies{ \sf{ \green{4x(x + 1) + 4(x + 1)}}}}}[/tex]

[tex]{ : { \implies{ \sf{ \green{(4x + 4)(x + 1)}}}}} \\ \\ \\ { :{ \implies{ \sf{ \green{4(x + 1)(x + 1)}}}}}[/tex]

Help meeeeee i don't know it and i will give brainlest

Answers

Answer:

Question 1:

1. 3.14

2. 6.2

Question 2:

1. 20

2. 25

3. 30

4. 35

Answer:

y< 6.28

Step-by-step explanation:

y<157/25 y<6 7/25 , Y={-infinity sign, 6.28

Diagonals AC and BD form right angles at point M in parallelogram ABCD. Prove ABCD is a rhombus.

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point B to point D and intersect at point M. Sides A B and D C are parallel and sides B C and A D are parallel. A square is drawn around point M.


Statements

Reasons
1. ABCD is a parallelogram 1. given
2. ∠AMB, ∠BMC, ∠CMD, and ∠DMA are right angles 2. given
3. ∠AMB ≅ ∠BMC ≅ ∠CMD ≅ ∠DMA 3. right angles are congruent
4. AC bisects BD;
BD bisects AC; 4. diagonals of a parallelogram bisect each other
5. AM ≅ MC, MB ≅ MD 5. definition of a bisector
6. ? 6. SAS congruency theorem
7. AB ≅ BC ≅ CD ≅ DA 7. CPCTC
8. figure ABCD is a rhombus 8. definition of a rhombus
△ABC ≅ △ADC ≅ △BAD ≅ △BCD
△AMB ≅ △CMB ≅ △CMD ≅ △AMD
△ABC ≅ △ADC ≅ △AMD ≅ △BMC
△AMB ≅ △CMD ≅ △BAD ≅ △BCD

Answers

The missing statement which is statement 6 is; △AMB ≅ △CMB and ≅ △CMD ≅ △AMD

How to carry out a two column proof?

We have been given several statements and reasons in the given two column proof to prove that ABCD is a rhombus.

Now, the only missing parameter is statement 6 which has its' reason as SAS congruency theorem.

From all the reasons and statements given before statement 6, we can arrive at the conclusion that;△AMB ≅ △CMB and ≅ △CMD ≅ △AMD

Read more about two column proof at; https://brainly.com/question/1788884

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Answer:

B: △AMB ≅ △CMB ≅ △CMD ≅ △AMD

Step-by-step explanation:

edg

2e+46-536+62b=


e=53
b=4

Answers

-136 is your answer

Answer:

-136

Step-by-step explanation:

what number is 35% of 56



show work

Answers

Answer:

35% = 0.35

56 times 0.35 = 19.6

Answer is 19.6

Step-by-step explanation:

Answer:

19.6

Step-by-step explanation:

35% = 0.35

56 times 0.35 = 19.6

Answer is 19.6

factor the trinomial 6y^2+19y+15?

Answers

Answer:

6y^2+43

Step-by-step explanation:

6y^2+(19+15)

Answer:

(2y+3)(3y+5)

Step-by-step explanation:

6y^2+19y+15

Factor the expression by grouping. First, the expression needs to be rewritten as 6y^2+ay+by+15. To find a and b, set up a system to be solved.

a+b=19

ab=6×15=90

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 90.

1,90

2,45

3,30

5,18

6,15

9,10

Calculate the sum for each pair.

1+90=91

2+45=47

3+30=33

5+18=23

6+15=21

9+10=19

The solution is the pair that gives sum 19.

a=9

b=10

Rewrite 6y^2+19y+15 as (6y^2+9y)+(10y+15).

(6y^2+9y)+(10y+15)

Factor out 3y in the first and 5 in the second group.

3y(2y+3)+5(2y+3)

Factor out common term 2y+3 by using distributive property.

(2y+3)(3y+5)

Find the mean absolute deviation for this data set.
2, 3, 1, 5, 4

Answers

The mean absolute deviation of the given data set is 1.2.

How to calculate the mean absolute deviation of a  data set?

Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. The formula for MAD is:

MAD =∑|x-m| / n

∑ is known as Sigma and means to sum up

| | are vertical bars that mean absolute value

x is each value

m is the mean

n is the total number of data points in your data set

Given: 2, 3, 1, 5, 4

n = 5

m = 2 + 3 + 1 + 5 + 4 = 15/5 = 3

∑|x-m| = |2-3| + |3-3| + |1-3| + |5-3| + |4-3|  = 6

MAD =∑|x-m|/n = 6/5 = 1.2

Therefore, the mean absolute deviation of the set data is 1.2

Learn more about mean absolute deviation on:

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pleaee help due pretty soon​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Straight lines.

Since,

y-y1 = m(x-x1)

hence the option B.) is correct.

====> y-3 = 6 (x+8)

Someone please help I really appreciate it

Answers

Answer:

The 12 represents the length by width (the 4 by 3).

The 5 represents the height of the figure.

We would use 12 x 5 if we wanted to find the volume. (W x L x H)

HELP ME PLZZZZZ GUYS PLZZZZZZZZ

Answers

The answer for the following question is Option 1 - 700 + 9 + 0.1 + 0.004

Answer: 700+9+0.1+0.004

Step-by-step explanation:

700+9=709.000

0.1+0.004=0.104

709.000+0.104=709.104

Hope this helps :)

Help I'm not sure if this is the answer?

(This question is about trigonometric ratios)

Answers

9514 1404 393

Answer:

  (b) 15.32

Step-by-step explanation:

You can use your triangle sense to answer this.

The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.

If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.

__

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(50°) = x/20

  x = 20×sin(50°) . . . . multiply by 20 to find x

  x ≈ 15.32 . . . . . . . . . use your calculator to evaluate

__

The attachment is intended to show how the triangle side lengths change with angle.


If y=2x and 3x – 3y = 2, then x

Answers

Answer:

x = - 2/3

Step-by-step explanation:

2x = y

3x - 6x = 2

- 3x = 2

- 3x ÷ - 3 = 2 ÷ - 3

x = 2 ÷ - 3

x = - 2/3

Write an equation that describes the function.

Answers

Answer:

y = xplus1 sorry, new keyboard and it doesn't have a plus sign

PLEASE HELP ill give BRAINLIST

Answers

Answer:

0.02562 poti sami dai coroana pls

Step-by-step explanation:

Which choice is equivalent????

Answers

Answer:

B) [tex]2\sqrt{21}[/tex]

Step-by-step explanation:

[tex]\sqrt{14} *\sqrt{6} =\\\sqrt{84} \\2\sqrt{21}[/tex]

A politician claims that a proposal for a new traffic law is broadly supported by both political parties and that a person from either political party is equally likely to support the proposed legislation. He cites two recent polls that said 70% of a random sample of 550 people from his political party supports the law, and 65% of a random sample of 420 people from the other political party supports the law. The 95 percent confidence interval for the difference in population proportions is (–0.010, 0.110). Based on the interval, is the politician’s claim justified?

Answers

Answer:

Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct

Step-by-step explanation:

The proportion from the sample of people from his party that support the law = 70%

The number the members of the politicians political party that support the law = 550 people

The proportion from the sample of people from the other party that support the law = 65%

The number the members of the politicians political party that support the law = 420 people

The confidence level of the test = 95%

The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)

Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.

The expression mc022-1.jp is equivalent to 3(x)+9. 3(x)+3(9). 3(x) – 9. 3(x) – 3(9).

Answers

Answer:

Step-by-step explanation:

its D. 3(x)-3(9)

Answer:

I think its D

Step-by-step explanation:

Srry if this is wrong

Have a nice day!!!!

(*^_^*)

tap A fills a tank in 6 hours tap B fills it in 8 hours and tap C empties it in 10 hours. starting with an empty tank and all the three taps are opened find how long it takes to fill the tank?​

Answers

Answer:

It will take 5 hours and 5 minutes to fill the tank

Step-by-step explanation:

Here, we want to get the time taken to fill the tap

Let us have the rate per hour

A fills in 6 hours; so the fraction filled in an hour is 1/6

B fills in 8 hours, so the fraction filled in an hour is 1/8

C empties in 10 hours, so the fraction removed per hour is 1/10

So factoring the supply and removal, where removal is on a negative basis

we have it that in an hour, the fraction retained is;

1/6 + 1/8 - 1/10

= (20 + 15 - 12)/120

= 23/120

So this is the fraction retained per hour

The number of hours it will take to have a whole is simply the reciprocal of this fraction

That would simply be 120/23 = 5 5/23

5 hours and 5 minutes

The graph of a cosine function is shown. Which two points on the midline of the function are separated by a distance of one period?

Answers

Answer: (pi/8, 1) and (5*pi/8, 1)

Step-by-step explanation:

First, the midline is a horizontal line that cuts the graph in two halves.

In this case, we can see that the maximum of the function is y = 2.5, and the minimum is y = -0.5

The difference is:

Diff = (2.5 - (-0.5)) = 3

If we subtract half of the difference (3/2 = 1.5) to the maximum, we get the midline.

Then:

midline: y = 2.5 - (3/2) = 1

the midline is the line y = 1

Now, a period T is such that:

Sin(x) = Sin(x + T)

Two points that are in the midline and that are separated by a period will be two points on the line y = 1, and that are in corresponding parts of the graph.

Here the two points are, counting from left to right, the third and the 11th.

(both of them are in the line y = -1 and in the negative slope part).

The points are:

(pi/8, 1) and (5*pi/8, 1)

Answer:

Here is the correct answer from the other Brainly Answer if you don't know what points you have to mark :) - Edmentum/Plato btw

f(x) = 4(2)^-x − 3

pls help

Answers

Answer:

− 2

Step-by-step explanation:

4  x 2 ^−2  -3 =-2

PLEASE HELP FAST MEAN MEDIAN AND MOVE I WILL GIVE BRAINLIST AND EXTRA POINTS

Answers

Answer:

mode; 8

mean; 5

median; 8

Step-by-step explanation:

Haley and her family went on a vacation. To get to the beach, they drove for 3 hours
and 25 minutes. When they headed back home, it took them 230 minutes to get home.
Did it take longer to get to the beach or to get home from the beach?

Answers

Answer:

it took longer to get to the beach

Step-by-step explanation:

they drove to the beach for 3 hours and 25 minutes and it took 55 minutes less to get home

Answer:

it took longer to get back home

Step-by-step explanation:

A tree grows three-fourth feet per year. How long will it take the tree to grow from
a height of 17 3/4 feet to a height of 25 1/2 feet?

Answers

Answer:

9 years

Step-by-step explanation:

37-21.25 =15.75ft

1.75ft per year

15.75  / 1.75  = 9 years


Miranda conducted a survey on how many hours per day students spend surfing the internet versus how many pets they have
She surveyed ten of her classmates and recorded the data in the scatter plot below.
which equation
y=-6.3x+0.4
y= -7.4x+ 0.7
y= 0.7x + 7.4
y= 0.4x + 6.3

Answers

answer

y=-7.4x+0.7

Step-by-step explanation:

Enter the correct answer in the box.
Use the quadratic formula to solve the equation X(-2x – 11) = -3.
Replace m, n, and p with the correct values.

Answers

Answer:

I got it correct and this is the right answer:

The roots of the given quadratic equation are (- 11 ± √145)/4. Therefore, m = - 11, n = 145, and p = 4.

What is a quadratic equation?

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

The given quadratic equation is:

x(- 2x - 11) = - 3

⇒ - 2x² - 11x = - 3

⇒ 2x² + 11x = 3

⇒ 2x² + 11x - 3 = 0

⇒ x = [- 11 ± {√(11²) - 4×2×(- 3)}]/(2 × 2)

⇒ x = [- 11 ± {√121 + 24}]/4

⇒ x = (- 11 ± √145)/4

Therefore, for the given quadratic equation, m = - 11, n = 145, and p = 4.

Learn more about a quadratic equation here: brainly.com/question/27255597

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Can anyone help me with this question please ?
I’ll mark you as a brainliest

Answers

B is the answer i beleive

Need help with this his one!

Answers

Answer:

a) 6(6x-5)

=(6×6x) - (6×5)

=36x-30

b)11y+4y+10y

=y(11+4+10)

=y(25)

=25y

THIS IS DUE IS 16 MINUTES SOMEONE HELP PLZ

Answers

Answer: The answer is A

Step-by-step explanation:

Answer:

The answer is 34.6, or A.

Step-by-step explanation:

The formula for area is pi*r*r. This means that you will have to take the area, or A, and do this: [tex]\sqrt{\frac{a}{pi} }[/tex]. That would be that radius, so then multiply that by 2*pi, and that would give an answer of approximately 34.6.

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