Lines j and k are intersected by line m. At the intersection of lines j and m, the uppercase left angle is 93 degrees. At the intersection of lines k and m, the bottom right angle is 93 degrees.
Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?

alternate interior angles theorem
alternate exterior angles theorem
converse alternate interior angles theorem
converse alternate exterior angles theorem

Answer: A

Step-by-step explanation:

You have:

[tex]20cos(\frac{2\pi }{5} x)=10\sqrt{2}[/tex]

Begin by dividing both sides by 20 to get:

[tex]cos(\frac{2\pi }{5} x)=\frac{\sqrt{2} }{2}[/tex]

Take the arccosine of both sides to get:

[tex]arccos(cos(\frac{2\pi }{5} x))=arccos(\frac{\sqrt{2} }{2})[/tex]

[tex]\frac{2\pi }{5} x=arccos(\frac{\sqrt{2} }{2} )[/tex]

First of all, lets find the right side. Cosine of what gives sqrt 2 over 2? That would be pi/4, plus 2npi. Another solution would be 7pi/4, plus 2npi. We have:

[tex]\frac{2\pi }{5} x=\pi /4+2n\pi[/tex]

[tex]\frac{2\pi }{5} x=7\pi /4+2n\pi[/tex]

Isolate 'x' to get:

[tex]x=\frac{5}{2\pi } (\pi /4+2n\pi)=\frac{5}{8} +5n[/tex]

[tex]x=\frac{5}{2\pi } (7\pi /4+2n\pi)=\frac{35}{8} +5n[/tex]

circumference of circle: 2πr

area of circle: πr^2

Answer:

The wheel radius is 18

Step-by-step explanation: Just got it right

Answer:

58

Step-by-step explanation:

First, we subtract 32 from 90(90deg-32deg) since the entire corner of the problem is the main area we will be focusing on. We get 58deg, and that's your answer!

Answer:

x = 58

Step-by-step explanation:

Look at the picture I have below.

It shown a complementary and supplementary angle.

As we can see there is complementary and supplementary angle in the given picture you have.

Also note that:

Complementary = 90 degree

Supplementary = 180 degree

Since we are solving for x and it close to complementary thus the equation can be written as:

x + 32 = 90

Subtract both sides by 32

x + 32 - 32 = 90 - 32

90 - 32 = 58

Hence x = 58

Kavinsky

Answer:

  ΔABC ≅ ΔEFD

Step-by-step explanation:

The congruence statement will list corresponding parts of the figures in the same order.

The left side of the statement is ΔABC, so we need to find the parts that correspond to A, B, and C, and list them in the same order. We notice that A is the marked angle, as is E. B is the other end of the line segment with 1 hash mark, as is F. Then corresponding vertices are ...

Consequently, the congruence statement must be ...

  ΔABC ≅ ΔEFD

Answer:

An arithmetic sequence is an ordered set of numbers where the difference between each consecutive term is the same (this is called the "common difference").

The formula for each term in an arithmetic sequence is:

[tex]\sf a_n=a+(n-1)d[/tex]

where:

Example

Sequence:  3, 10, 17, 24, 31, ...

The first term in the sequence is 3, therefore a = 3

The common difference can be found by subtracting one term from the next:  d = 10 - 3 = 7

Substituting these values into the equation for the nth term:

[tex]\implies \sf a_n=3+(n-1)7[/tex]

[tex]\implies \sf a_n=3+7n -7[/tex]

[tex]\implies \sf a_n=7n -4[/tex]

Therefore, if we want to find the 5th term of the sequence, simply input
n = 5 into the found equation:

[tex]\implies \sf a_5=7(5)-4=31[/tex]

Yes we can find terms

The formula is

Where

The inequality model that can be used to solve the number of hours it would take Nada to drive is 2.5 ≤ x ≤3.

Average speed is the total distance travelled per time.

Average speed = total distance / total time

Time = total distance / average speed.

Time if she drives 150 miles = 150 / 60 = 2.5 hours

Time if she drives 180 miles = 180 / 60 = hours

2.5 ≤ x ≤3.

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The function f(x) = (3 * 0.04 * x) + x is a linear function, and the value of f(850) is 952

The function is given as:

f(x) = (3 * 0.04 * x) + x

Substitute 850 for x

f(850) = (3 * 0.04 * 850) + 850

Evaluate the product

f(850) = 952

Hence, the value of f(850) is 952

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Wind is caused by differences in the atmospheric pressure. When a difference in atmospheric pressure exists, air moves from the higher to the lower pressure area, resulting in winds of various speeds. On a rotating planet, air will also be deflected by the Coriolis effect, except exactly on the equator.

Hope this helped!

Answer:

Step-by-step explanation:

1.  x -> opposite side of 48°

   o → hypotenuse

   b → adjacent side of  48°

[tex]\sf Sin \ 48^\circ = \dfrac{opposite \ side }{hypotenuse}\\\\\\0.7431 = \dfrac{15}{o}\\\\\\0.74 * o = 15\\\\\\ o = \dfrac{15}{0.74}\\\\\\[/tex]

o = 20.27

[tex]\sf cos \ 48^\circ = \dfrac{adjacent \ side }{hypotenuse}\\\\\\0.67 =\dfrac{b}{o}\\\\\\0.67=\dfrac{b}{20.27}[/tex]

b = 0.67*20.27

b = 13.58

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2) i → opposite side of 25°

n → adjacent side of 25°

[tex]\sf Sin \ 25 =\dfrac{i}{t}\\\\\\0.42=\dfrac{i}{30}\\\\\\0.42*30=i[/tex]

i = 12.6

[tex]\sf Cos \ 30^\circ =\dfrac{n}{t}\\\\0.91=\dfrac{n}{30}\\\\\\0.91*30 = n[/tex]

n = 27.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3) a → opposite side of 70°

e → adjacent side of 70°

[tex]Sin \ 70^\circ =\dfrac{a}{l}\\\\0.94 =\dfrac{a}{25}\\\\0.94*25=a[/tex]

a = 23.5

[tex]\sf Cos \ 70^\circ =\dfrac{e}{l}\\\\0.34=\dfrac{e}{25}\\\\0.34*25=e[/tex]

e = 8.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

4)

[tex]\sf Sin \ 52^\circ = \dfrac{x}{75}\\\\0.79*75=x\\[/tex]

x = 59.25

[tex]\sf Cos \ 52^\circ = \dfrac{z}{75}\\\\0.62*75 =z[/tex]

z = 46.5

Answer:

the linear function is f(x)=6x-24

Step-by-step explanation:

I hope it helped you

Answer:

101

Step-by-step explanation:

I time 41x2 than add 19

Answer: A., D., and E.

Step-by-step explanation: On Edge!!

The given information none of the statements about triangle LMN confirmed as true.

Based on the given options, "Check all that apply," I'll evaluate each statement about triangle LMN:

The triangle is scalene: A scalene triangle is a triangle with three unequal side lengths. Since no information is provided about the side lengths of triangle LMN,  determine if it is scalene. Thus, it cannot be confirmed as true.

The triangle is equilateral: An equilateral triangle is a triangle with three equal side lengths. Without any information about the side lengths of triangle LMN, determine if it is equilateral. Thus, it cannot be confirmed as true.

The triangle is isosceles: An isosceles triangle is a triangle with at least two equal side lengths. Without any information about the side lengths of triangle LMN,  determine if it is isosceles. Thus, it cannot be confirmed as true.

The triangle is a right triangle: A right triangle is a triangle with one right angle (90 degrees). No information is given about the angles of triangle LMN, so determine if it has a right angle. Thus, it cannot be confirmed as true.

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Answer:

W = 4 cm and  L = 9 cm

Step-by-step explanation:

I don't see a question, but will assume the problem wants the length(L) and width(W) of the described rectangle.

Let L and W stand for Length and Width.

Area of a rectangle is given by L*W

We are told that L*W = 36 cm^2

We are also told that L = 4W-7 ["length of a rectangle is 7 cm less than four times its width"]

Substituting the second into the first equation:

L*W = 36 cm^2

(4W-7)*W = 36 cm^2          [L = 4W-7]

4W^2-7W - 36 cm^2 = 0

(W-4)(4W+9) = 0

The roots are:  4 and -(9/4)

We'll use the positive value:  W = 4

Since L = 4W-7:

   L = 4(4)-7

   L = 16-7

  L = 9 cm

Answer:

The number of degrees the temperature drops°

Step-by-step explanation:

hope this helps

and hope this is the answer you was looking for

pls mark brainliest

Answer:

The answer is B. [tex]\frac{2x+1}{x^{2}-7} ,x\neq \sqrt{7}[/tex]

Step-by-step explanation:

[tex]f(x)=2x+1\\g(x)=x^{2} -7[/tex]

Focusing on the denominator makes it equal to = 0

[tex]x^{2} -7=0\\x^{2} =7\\x=+\sqrt{7},-\sqrt{7}[/tex]

If the denominator equals zero then the equation ends up undefined. A number over zero, zero can not go divided into a number.

Answer: the Answer is D) Twice as much time is spent on TV as is spent on homework

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Round;

4.46 ≈ 4

5.75 ≈ 6

So;

4 x 6 = 24

Hope this helps!

Answer:

I think that the answer is 25

Step-by-step explanation:

I didn't really undertsand the question so I just multiplied 4.46 times 5.75 and than rounded to the nearest ones place.  The answer was 25.645

Hope this helped sorry if it is not the answer that you were looking for have a nice day.

Answer: x is -2.5 or [tex]-2\frac{1}{2}[/tex]

Step-by-step explanation:

We need to solve for x

-3=4x+7

Step 1) Subtract 7 from both sides

-3-7=4x+7-7

-10=4x

Step 2) Divide both sides by 4 to isolate x

-10=4x

[tex]\frac{-10}{4} =\frac{4x}{4} \\-2.5=x[/tex]

Answer:

75%

Step-by-step explanation:

Given:

Total = 16 buttons

Large = 12 buttons

To Find:

What percentage of the buttons were large?

Solution:

Since, we know that it asking for percentage(%) of buttons were large. As well as total is 16 buttons and 12 button were large.

Thus,

Formula : a/b × 100

Let's

a = 12

b = 16

Therefore,

12/16 × 100

.75 × 100

= 75%

Hence, the percentage of the buttons that Rita bought were large is 75%

Kavinsky

The expressions in order from least to greatest 72 / 8 - 2 x (3 + 1), (72 / 8) - 2 x 3 + 1, 72 / (8 - 2) x 3 + 1 and 72 / (8 - 2) x (3 + 1).

BODMAS stands for B - Bracket, O - order of Power, D - Division, M - Multiplication, A - Addition, and S - Subtraction.

To Arrange the expressions below in order from least to greatest. place the least at the top and the greatest at the bottom

72 / 8 - 2 x (3 + 1) equals 1

(72 / 8) - 2 x 3 + 1 equals 4

72 / (8 - 2) x 3 + 1 equals 37

72 / (8 - 2) x (3 + 1) equals 48

Thus, The expressions in order from least to greatest 72 / 8 - 2 x (3 + 1), (72 / 8) - 2 x 3 + 1, 72 / (8 - 2) x 3 + 1 and 72 / (8 - 2) x (3 + 1).

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The probability that 2 clients would have rented an AMG G63 from the 5 people will be 0.0625.

From the information given, the probability that 2 clients would have rented an AMG G63 from the 5 people will be:

= 0.25 × 0.25

= 0.0625

The probability that a hired bike will be deemed beyond repair, provided that the wheels get damaged independently of each other will be:

= 8% × 12%

= 0.08 × 0.12

= 0096

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Answer:

x ≤ -6

Step-by-step explanation:

The line is moving towards the left, which means that the numbers are getting smaller. X is going to be less than something.

The dot on -6 is colored in. This means that -6 is included in our inequality. [X could equal -6]

So, we could write the equation x ≤ -6

The inequality x -4 > 2 uses a greater than symbol

All numbers lesser or equal to 6 are not a solution of the inequality x -4 > 2

The inequality is given as:

x -4 > 2

Add 4 to both sides of the inequality

x - 4 + 4 > 2 + 4

Evaluate the sum

x > 6

The above means that only numbers greater than 6 are in the solution of the inequality.

Since the options are not given, I will give a general solution that all numbers lesser or equal to 6 are not a solution of the inequality x -4 > 2

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The ground speed of the plane is 402 mph

We have given,

A plane leaves an airport traveling at 400 mph in the direction n 45° e. a wind is blowing at 40 mph in the direction n 45° w.

Now, Draw a right triangle with 400 and 40 as the two legs.

This is a right angle because 45 degrees NE is perpendicular to 45 degrees NW.

So, the two side lengths are 400 and 40

Using the Pythagorean theorem,

(a^2 + b^2 = c^2)

[tex]400^2+40^2=c^2\\\\c^2=160000+1600\\c^2=161600\\c=401.99[/tex]

Therefore the answer is 401.995, or 402mph.

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Answer:

D

Step-by-step explanation:

(8x)² is the area of a square with a side length 8x,

because we want to find out how much space is inside a square that has two dimensions 8x length and 8x width.

well, the total amount is "x", which oddly enough is 100%, and we also know that 22% of that is 27.9 millions, so

[tex]\begin{array}{ccll} \stackrel{millions}{amount}&\%\\ \cline{1-2} x & 100\\ 27.9& 22 \end{array} \implies \cfrac{x}{27.9}=\cfrac{100}{22} \\\\\\ 22x=2790\implies x=\cfrac{2790}{22}\implies x\approx 127[/tex]

Step-by-step explanation:

1)-1, 0, 1... do like this

[tex]Heyo![/tex]

SaddySokka is here to help!!

Let's do this step-by-step explanation!

[tex](15)(-5)+(15)(-3)[/tex]

[tex]=-75+(15)(-3)[/tex]

[tex]=-75+-45[/tex]

[tex]=-120[/tex]

Answer:

[tex]-120[/tex]

Hopefully, this helps you!!

Have a great day!!

SaddySokka~

Answer:

-120

Step-by-step explanation:

15×[-5]+15×[-3]

Use BODMAS

-75+-45

-120