M is the midpoint of LN. What is the measure of LM= 3x and LN= 2x + 2, find LM.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

So we have the expression:

[tex]39\div(2+1)-2\times(4+1)[/tex]

Recall the order of operations or PEMDAS:

P: Parentheses

E: Exponents

M/D: Multiplication and Division (Whichever First)

A/S: Addition and Subtraction (Whichever First)

Thus, first do the operations inside the parentheses:

[tex]39\div(2+1)-2\times(4+1)\\=39\div(3)-2\times(5)[/tex]

Now, do division and multiplication:

[tex]39\div(3)-2\times(5)\\=13-2\times5[/tex]

And the multiplication:

[tex]13-2\times5\\=13-10[/tex]

And finally, subtract:

[tex]13-10\\=3[/tex]

Answer:

6(3)-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x(−3)

Answer:

11/100,      0.11,      or 11%

Step-by-step explanation:

Answer:

CCCC!!!!!

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

y = -3x - 2

Step-by-step explanation:

Step 1: State what is known

Slope = m = -3

y-intercept = b = -2

Step 2: Substitute information into y = mx + b

y = (-3)x + (-2)

y = -3x -2

Therefore the equation in slop intercept form is y=-3x-2

Answer:

Step-by-step explanation:

[tex]m = -3\\y - intercept = -2\\Slope\: intercept \: form :\\y =mx+c\\y = -3x-2[/tex]

Answer:

66 miles per hour

Step-by-step explanation:

To find the speed, divide the distance by the amount of time:

506 ÷ 7 2/3

= 66

= 66 miles per hour

Answer:

66

Step-by-step explanation:

Notice that the problem is asking us to find the rate for Sean's trip. Since we are also given the distance he is traveling and the travel time, we should use the distance, rate, and time formula.

d=rt

where    d=distance  r=rate  t=time

We are given

d=506 mi

r=?

t=723=233 hr

Solving for rate and then substituting the given information into the distance, rate, time formula gives

r=dt=506233=5061⋅323=66

So Sean drove at a rate of 66 mph.

Answer: The 95% confidence interval  to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.

Step-by-step explanation:

A 95% confidence interval for population mean ([tex]\mu[/tex]) is an interval on which a person can be 95% confident that the true population mean lies in it.

i.e. The probability that it contains the true population mean is 95%.

i.e. P( Sample mean- margin of error < [tex]\mu[/tex] < Sample mean + margin of error) = 0.95.

Answer:  6 inches

Step-by-step explanation:

Volume (V) = Area of the base (B) × height (h)

Both images have the same volume and the same height, therefore the Area of their bases must be equal to each other.

Area of the triangle

[tex]A=\dfrac{1}{2}\cdot b \cdot h\\\\.\quad=\dfrac{1}{2}\cdot 8 \cdot 9\\\\.\quad= 36[/tex]

Area of a square

A = s²

36 = s²

6 = s

Answer:

The answer is B

..........

Answer & Step-by-step explanation:

You can find a rational fraction equivalent to [tex]-\frac{1}{5}[/tex]  by multiplying the numerator and denominator by the same number. The number can be any:

[tex]-\frac{1}{5} *3\\\\-\frac{1}{5}*\frac{3}{3}=-\frac{3}{15}[/tex]

This works because if you simplify the new number, it will have the same value as the first fraction.

If you simplify both fractions to a decimal value, they both equal -0.2.

Answer:

Step-by-step explanation:

The problem statement tells you exactly what the transformations are.

The first transformation is reflection across line m.

The second transformation is rotation about point A'.

_____

These are both rigid transformations, so ΔABC ≅ A'B''C''.

Answer:

Triangle A B C is reflected across line m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point A prime to form triangle A prime B double-prime C double-prime

What is the composition of transformations mapping △ABC to △A'B''C''?

The first transformation is

✔ a reflection across m

.

The second transformation is

✔ a rotation about A'

.

△ABC is

✔ congruent to

△A'B''C''.

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

|AB| = | 2 - 5.25| = 3.25

The lines starts at 2 not at 1

Answer:

Hey there!

The relationship can be y=3x.

Let me know if this helps :)

Answer:

Yes, because there is no possibility for overlap between the categories.

Answer:

disposal earnings I think

Step-by-step explanation:

it is the legal deduction of money by the government I think

Answer:

-i, -1, i, 1

I think the previous answer is arranged in the order of correct answers, if that make sense. For example, next to -i, you would put 1.

Also, are you a member of Calvert? Because this layout looks familiar.

The required expressions with their correct simplest form, follow as:

1. (i³)⁵ = - i

2. - i⁶·i³·i⁵ = - 1

3. - (i)⁴·i⁰·i⁷ = 1

4.  (i⁵·i²·i⁸)⁰= 1  

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The expressions are given in the question, as follows:

1. (i³)⁵

= (i)¹⁵

= (i²)⁷ × i

As we know that i² = -1, where i is an imaginary number.

= (-1)⁷ × i

= (-1 ) × i

= - i

Similarly, further expressions are solved below.

2. - i⁶·i³·i⁵

= i⁶·i³·i⁵

=  (i)¹⁴

=  (i²)⁷

=  (-1)⁷

=  (-1)

= - 1

3. - (i)⁴·i⁰·i⁷

= - (i)¹¹

= - (i²)⁵ × i

= - (-1)⁵ × i

= - (-1 ) × i

= - (- i)

= 1

4.  (i⁵·i²·i⁸)⁰

= ((i)¹⁵)⁰

= 1

Thus, the required expressions with their correct simplest form in the above solution part.

Learn more about the complex numbers here:

brainly.com/question/19007885

#SPJ5

Hi Hello.....How r u......

Answer: Distance = 2.449

Step-by-step explanation:

Given that the distance that (5, 1) is from the origin. That is (0,0) to (5,1)

where

X1 = 0

X2 = 5

Y1 = 0

Y2 = 1

The distance from the origin to the point (5, 1) can be calculated by using the formulae

Substitute all the parameters into the formular

D = [tex]\sqrt{(X2-X1) + (Y2-Y1)}[/tex]

D = [tex]\sqrt{(5-0) + (1-0)}[/tex]

D = [tex]\sqrt{5 + 1}[/tex]

D = [tex]\sqrt{6}[/tex]

D = 2.44948

D = 2.449 ( Three decimal places)

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

Explanation:

The angles 4x and 3x+10 are corresponding angles. They are on the same side of the transversal cut (above the transversal) and to the right of each parallel line.

If the corresponding angles are congruent, then line A is parallel to line B.

4x = 3x+10

4x-3x = 10

x = 10

Answer:

x=31

Step-by-step explanation:

Answer:

9/169

Step-by-step explanation:

JQK of 4 suits = 12 cards

12/52x12/52=

3/13x3/13=

9/169

Answer:

Step-by-step explanation:

[tex]logx -log(x-1)^2= 2 log(x-1)[/tex]

[tex]logx-2log(x-1) = 2log(x-1)[/tex]

[tex]logx=log(x-1)^4[/tex]

[tex]x=(x-1)^4[/tex]

[tex]x^4-4x^3+6x^2+1=0[/tex]

solve this equation

Answer:

Height= 8341.6 feet

Step-by-step explanation:

A surveyor determined the height of the new summit by measuring the angle of elevation to the top to be 37°46'. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40°30'.

40°30'= 40.5°

37°46'= 37.767°

b = 180-40.5

b= 139.5°

a= 180-139.5-37.767

a= 2.733°

Using sine method

1000/Sina= y/sinB

1000/sin 2.733= y/sin 139.5

(1000*sin 139.5)/sin 2.733= y

(1000*0.6494)/0.04768= y

13619.96= y

Y= 13620 feet

Height/sin 37.767= 13620

Height=13620*sin37.767

Height= 8341.59

Height= 8341.6 feet

Answer:

80.385

Step-by-step explanation:

It requires you to use trigonometry. First, ask yourself, which of the angle relationship (between sin, cos, tan) that includes the triangle's "x" and "300", from the angle 15°.

It's tan, because in this case, tan 15° = x / 300.

You then set x = 300 tan 15°, type it on calculator, and voila you get the answer.

Answer:

Hey there!

Tangent 15=x/300

Tangent 15(300)=x

x=80.4

Let me know if this helps :)

Answer:

91

Step-by-step explanation:

"When you break the pennies into groups of 2, you have 1 penny left over"

You have an odd number of pennies.

"when you break the pennies into groups of 3, you have 1 penny left over"

The number of pennies is one more than a multiple of 3.

"when you break the pennies into groups of 5, you have 1 penny left over"

A number that is divisible by 5 ends in 0 or 5. You have one more penny than that, so the number will end in 1 or 6. We already know the number is odd, so it cannot end in 6. The number of pennies must end in 1.

"when you break the pennies into groups of 7, you have NO pennies left over"

The number is a multiple of 7.

We need a multiple of 7 that ends in 1.

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...

You could have 91.

Answer:

3.12732 × 10⁹ beats

Step-by-step explanation:

Given that, in 1 min, the heart of an individual makes 70 beats, the number of beats the heart of the healthy individual makes in 85 years can be calculated as follows:

1 yr = 365 days, therefore,

85yrs = 85*365 = 31,025 days

1 day = 24 hours

31,025 days = 31,025*24 = 744,600 hours.

1 hr = 60 mins

744,600 hours = 744,600*60 = 44,676,000 mins

This means the individual lived for 44,676,000 mins (85yrs)

If 70 beats are made in 1 min, therefore, in 85yrs, the individual will make:

44,676,000*70 = 3,127,320,000 beats = 3.12732 × 10⁹ beats in 85yrs

Answer:

1. 20%

2. [tex]33.\overline{33}[/tex]

Step-by-step explanation:

We can use percentage proportions to find out these answers.

For number one, 10 is what percent of 50, we already know our two values so we can make the equation:

[tex]\frac{10}{50} = \frac{x}{100}[/tex]

Using the cross products property, we know that x is [tex](100\cdot10)\div50[/tex] which is 20.

So 10 is 20% of 50.

For number two, we know a different pair of two numbers now: we know the percent of x, and the percent it is, so the equation can become:

[tex]\frac{20}{x} = \frac{60}{100}[/tex]

Again, cross products property tells us that x is [tex](100\cdot20)\div60[/tex], which is [tex]33.\overline{33}[/tex].

Hope this helped!

Answer:

56 + 6(n - 1)

Step-by-step explanation:

To know which of the equation represent the nth term, we simply test each equation to see the one that will satisfy the table given above.

This can be obtained as follow:

For 56 + 6(n - 1)

1. n = 2

56 + 6(n - 1) = 56 + 6(2 - 1)

= 56 + 6(1)

= 56 + 6

= 62

2. n = 5

56 + 6(n - 1) = 56 + 6(5 - 1)

= 56 + 6(4)

= 56 + 24

= 80

For 56 + 12(n - 1)

1. n = 2

56 + 12(n - 1) = 56 + 12(2 - 1)

= 56 + 12(1)

= 56 + 12

= 68

2. n = 5

56 + 12(n - 1) = 56 + 12(5 - 1)

= 56 + 12(4)

= 56 + 48

= 56 + 24

= 104

For 62 + 6(n - 1)

1. n = 2

62 + 6(n - 1) = 62 + 6(2 - 1)

= 62 + 6(1)

= 62 + 6

= 68

2. n = 5

62 + 6(n - 1) = 62 + 6(5 - 1)

= 62 + 6(4)

= 62 + 24

= 86

For 62 + 12(n - 1)

1. n = 2

62 + 12(n - 1) = 62 + 12(2 - 1)

= 62 + 12(1)

= 62 + 12

= 74

2. n = 5

62 + 12(n - 1) = 62 + 12(5 - 1)

= 62 + 12(4)

= 62 + 48

= 110

From the illustrations made above,

Only equation 56 + 6(n - 1) satisfied the table.

Therefore, the expression 56 + 6(n - 1) can be used to obtain the nth term.

Answer:

Number of ways top 3 cars finish the​ race = 39,270

Step-by-step explanation:

Given:

Total number of cars = 35

Number of top cars = 3

Find:

Number of ways top 3 cars finish the​ race

Computation:

It is a permutation based problem.

So,

npr = n! / (n-r)!

35p3 = 35! / (35! - 3!)

35p3 = 35 ! / 32!

35p3 = 35 × 34 × 33

35p3 = 39,270

Number of ways top 3 cars finish the​ race = 39,270