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.

Answer:

− 2

Step-by-step explanation:

4  x 2 ^−2  -3 =-2

Answer:

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

Step-by-step explanation:

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

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:

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!!!!

（*^_^*）

Answer:

mode; 8

mean; 5

median; 8

Step-by-step explanation:

Answer:

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

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)

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.

"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.

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[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)

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.

Answer:

-136

Step-by-step explanation:

Answer:

0.02562 poti sami dai coroana pls

Step-by-step explanation:

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.

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

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

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Answer:

B: △AMB ≅ △CMB ≅ △CMD ≅ △AMD

Step-by-step explanation:

edg

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]

Answer:

Step-by-step explanation:

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

y - 2 = 1/2x + 1

y = 1/2x + 3

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

Answer:

-14x - y

Step-by-step explanation:

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

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

-14x - y

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)

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

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

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

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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

Answer:

a) 6(6x-5)

=(6×6x) - (6×5)

=36x-30

b)11y+4y+10y

=y(11+4+10)

=y(25)

=25y

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:

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 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 :)

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

Answer:

9 years

Step-by-step explanation:

37-21.25 =15.75ft

1.75ft per year

15.75  / 1.75  = 9 years

answer

y=-7.4x+0.7

Step-by-step explanation: