To convert between miles and kilometers, the following formula is used:
8M= 5k where M is the number of miles and k is the number of kilometers.
If the speed limit is 100 kilometers per hour, what is the speed limit in miles per
hour?

Will recommend to keep in touch with picture as name of angles are based on it!

[tex] \\ [/tex]

So as you can see BA is parallel to DC as the arrow signs are made on it. And the figure has four sides , therefore we get to know that the above picture is of parallelogram.

[tex] \\ [/tex]

[tex] \rm\angle B = \angle D [/tex]

How ?

As we know it's a parallelogram, so there's one property of parallelogram that opposite sides of Angle are equal.

[tex] \\ [/tex]

[tex] \hookrightarrow \sf2x =130 \degree [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =130 \degree\div 2 \degree [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{130}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times 10}{2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times\cancel{ 10}}{\cancel2} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x = \dfrac{13 \times5}{1} [/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =13 \times5[/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow \sf x =65 \degree[/tex]

[tex] \\ [/tex]

Now Let's find value of y.

[tex] \rm \angle DAB =\angle DCB[/tex]

How ?

As we know it's a parallelogram, so there's one property of parallelogram that opposite sides of Angle are equal.

[tex] \\ [/tex]

[tex] \dashrightarrow \rm x = y[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \rm 65 = y[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \bf y = 65 \degree[/tex]

[tex] \\ [/tex]

angles on same line

[tex] \\ [/tex]

At last :-

x = 65°

y = 65°

z = 55°

The values of the unknown x, y and z in the figure are 65°, 35° and 85° respectively.

Data

The sum of angles in a parallelogram is equal to 360°. To solve for all the missing numbers, we have to use some properties of parallelogram.

2x = 130

Reason: Opposite angles in a parallelogram are equal.

let's solve for x

[tex]2x = 130 \\\frac{2x}{2} = \frac{130}{2}\\x = 65^0[/tex]

The value of x is 65°

Let's solve for y

[tex]x+ 130 + y + 2x= 360\\x = 65\\65 + 130 + y + 2(65) = 360\\325 + y = 360\\y = 360 - 325\\y = 35[/tex]

The value of y is 35°

Let's solve for z

[tex]60 + y + z = 180[/tex]

reason: sum of angles on a straight line is equal to 180°

[tex]60 + y + z = 180\\60 + 35 + z = 180\\95 + z = 180\\z = 180 - 95\\z = 85^0[/tex]

The values of the unknown x, y and z in the figure are 65°, 35° and 85° respectively.

Learn more on parallelograms here;

https://brainly.com/question/24056495

[tex]\bold{\huge{\underline{ Solution}}}[/tex]

Let assume that the distance between the golf ball and central of green is x

Here,

According to the law of cosine :-

[tex]\bold{\red{ a^{2} = b^{2} + c^{2} - 2ABcos}}{\bold{\red{\theta}}}[/tex]

So, For Hypotenuse law of cosine will be :-

[tex]\sf{ c^{2} = a^{2} + b^{2} - 2ABcos}{\sf{\theta}}[/tex]

Subsitute the required values,

[tex]\sf{ x^{2} = (150)^{2} + (30)^{2} - 2(150)(30)cos}{\sf{100°}}[/tex]

[tex]\sf{ x^{2} = 22500 + 900 - 900cos}{\sf{\times{\dfrac{5π}{9}}}}[/tex]

[tex]\sf{ x^{2} = 22500 + 900 - 900( - 0.174)}[/tex]

[tex]\sf{ x^{2} = 22500 + 900 + 156.6}[/tex]

[tex]\sf{ x^{2} = 23556.6}[/tex]

[tex]\bold{ x = 153.48\: yards }[/tex]

Hence, The distance between the ball and the center of green is 153.48 or 153.5 yards

Answer:

a) P(not red) = 37/49

b) P(purple) = 17/49

Step-by-step explanation:

Prob. of not red = (20+17) / (12+20+17) = 37/49

Observe the abscicca and ordinates

*Note that:- y-coordinate is ordinate and x-coordinate is abscicca.

Observe the graph and mark the point where function meets y-axis

*Note that:- The point of the graph where the function meets y-axis is called y-intercept.

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

Thus, Option C is the correct choice!!~

Answer:

80% off

Step-by-step explanation:

(0.15 - 0.75)/0.75 = -0.8 = -80%

Answer:

Tavian is correct.

Step-by-step explanation:

If you solve the systems of equations, y=0 and x=7, so the solution is (7, 0).

Answer:

3 trumpet players

Step-by-step explanation:

t=1 and 3x1=3t

Answer:

In explanation

Step-by-step explanation:

So, let's solve for y in both of these equations

3y + 2x = 8

3y = 2x+8

y = 2/3x+8/3

-3x - 2y = 6

-2y = 3x + 6

y = -3/2x-3

The lines are perpendicular, since their slopes are the negative reciprocal of each other.

Negative reciprocal =>     -1/n

The sum of the equations demonstrates this relationship, with 0x + 0y = 14

or 0 = 14 in which a result like this only occurs when the lines are perpendicular

Your welcome, comment if you have any questions! :D

Answer:

Line BC is parallel to line AD. The system of equations has the sum 0 = 14. Since this is a false equation, the system has no solution, which means the lines will never intersect.

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

10 + 9 = 19

because when you add those 2 numbers together you get

19

Answer:

1.)  12

2.)  36

3.)  36

4.)  36

5.)  72

6.)  72

7.)  120

8.)  30

Step-by-step explanation:

You're welcome make me brainliest :)

Answer: LCM=least common multiple so

Step-by-step explanation: 1)12

2)18 3)36 4)36     5)72    6)72    7)120    8)30

Answer:

0.38km²

Step-by-step explanation:

A=h and b/2

= 1·0.75/2=

0.375km²

Answer:

[tex]\sec(\theta)[/tex]

Step-by-step explanation:

[tex]\csc(\theta)=\dfrac{1}{\sin(\theta)}\\\\\\\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}\\[/tex]

Therefore,

[tex]\csc(\theta) \times \tan(\theta)=\dfrac{1}{\sin(\theta)}\times\dfrac{\sin(\theta)}{\cos(\theta)}=\dfrac{1}{\cos(\theta)}=\sec(\theta)\\[/tex]

Answer: D

Step-by-step explanation:

By the cosine rule, [tex]BC=\sqrt{10^{2}+14^{2}-2 \cdot 10 \cdot 14 \cdot \cos 70^{\circ}}[/tex]

Now, we can use the law of sines to get that:

[tex]\frac{\sqrt{10^{2}+14^{2}-2\cdot 10 \cdot 14 \cdot \cos 70^{\circ}}}{\sin 70^{\circ}}=\frac{14}{\sin \angle ABC}[/tex]

Meaning that [tex]\sin \angle ABC =\frac{14\sin 70^{\circ}}{\sqrt{10^{2}+14^{2}-2 \cdot 10 \cdot 14 \cdot \cos 70^{\circ}}}[/tex]

And thus [tex]\angle ABC=\sin^{-1} \left(\frac{14\sin 70^{\circ}}{\sqrt{10^{2}+14^{2}-2 \cdot 10 \cdot 14 \cdot \cos 70^{\circ}}} \right) \approx 68.39^{\circ}[/tex]

Hello.

Remember, equivalent means equal.

Let's simplify the expression.

First, let's use the Distributive Property, which states

[tex]\hookrightarrow[/tex] [tex]\mathrm{a(b+c)=ab+ac}[/tex]

Use it:

[tex]\hookrightarrow\mathrm{-4+8(7+x)}[/tex]

[tex]\hookrightarrow[/tex] [tex]\mathrm{-4+56+8x}[/tex]

[tex]\hookrightarrow\mathrm{52+8x}[/tex]

Therefore, the answer is

[tex]\mathrm{52+8x}[/tex]

I hope this helps you.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Parabolas are used to represent curved functions

The shortest distance between the parabola and the point is [tex]x = -\frac 1{2}[/tex]

The parabola is given as:

[tex]y=(7x+5)^{1/2}[/tex]

Rewrite as:

[tex]y=\sqrt{7x+5}[/tex]

Let p represent a point on the parabola.

So, we have:

[tex]P(x,\sqrt{7x + 5})[/tex]

Next, calculate the distance between P and the point (3,0) using the following distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

So, we have:

[tex]d = \sqrt{(x- 3)^2 + (\sqrt{7x + 5})^2[/tex]

[tex]d = \sqrt{x^2- 6x + 9 + 7x + 5}[/tex]

Evaluate the like terms

[tex]d = \sqrt{x^2+ x + 14}[/tex]

Square both sides

[tex]d^2 = x^2+ x + 14[/tex]

The shortest distance is then calculated as:

[tex]x = -\frac b{2a}[/tex]

Where:

a = 1, b = 1 and c = 14

So, we have:

[tex]x = -\frac 1{2*1}[/tex]

[tex]x = -\frac 1{2}[/tex]

Hence, the shortest distance between the parabola and the point is [tex]x = -\frac 1{2}[/tex]

Read more about parabolas at:

https://brainly.com/question/4061870

Answer: he can have 45 plants

Answer:

Should be 19.533333 (3 keeps repeating)

Step-by-step explanation:

if you add all the numbers up it equals

293

There are 15 points so you should just have to do 293/15

Answer:

=] - 13

Step-by-step explanation:

=>21+(-34)

=> 21-34

=> -13

Answer:

1. [tex]\frac{3}{17}[/tex] (3/17)

2. [tex]\frac{3}{7}[/tex] (3/7)

3.  [tex]\frac{45}{184}[/tex] (45/184)

Step-by-step explanation:

1. [tex]\frac{\frac{3}{5} }{3\frac{2}{5}}[/tex] = [tex]\frac{\frac{3}{5} }{\frac{17}{5}}[/tex] = [tex]\frac{\frac{3}{1} }{\frac{17}{1}}[/tex]= [tex]\frac{3}{17}[/tex]

2. [tex]\frac{2}{4\frac{2}{3}}[/tex] = [tex]\frac{\frac{2}{1} }{\frac{14}{3}}[/tex]= [tex]\frac{2}{1} /\frac{14}{3}[/tex] = [tex]\frac{2}{1} *\frac{3}{14}[/tex] = [tex]\frac{6}{14}[/tex] = [tex]\frac{3}{7}[/tex]

3. [tex]\frac{\frac{5}{4} }{5\frac{1}{9} }[/tex] = [tex]\frac{\frac{5}{4} }{\frac{46}{9}}[/tex] = [tex]\frac{5}{4}/\frac{46}{9}[/tex] = [tex]\frac{5}{2}/\frac{23}{9}[/tex] = [tex]\frac{5}{2}*\frac{9}{23}[/tex] = [tex]\frac{45}{184}[/tex]

Hope this helps!

Answer:

[tex]\dfrac{19}{25}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac{4}{10}+\dfrac{6}{10}\right)-\left(\dfrac{4}{10} \times \dfrac{6}{10}\right)[/tex]

[tex]=\left(\dfrac{10}{10}\right)-\left(\dfrac{24}{100} \right)[/tex]

[tex]=\left(\dfrac{100}{100}\right)-\left(\dfrac{24}{100} \right)[/tex]

[tex]=\dfrac{76}{100}[/tex]

[tex]=\dfrac{19}{25}[/tex]

Solution:

Note that:

Simplify the expression:

Simplify the fraction:

19/25 is the difference.

Answer: False

Step-by-step explanation:

The angles require more than 2 lines to be formed, meaning they cannot be formed by intersecting lines.

Answer:

27*n

Step-by-step explanation:

A theater has 27 rows with n seats in each row. Which expression shows how many seats are in the entire theater?

27n or 27*n

You got it right.

Ex: A theater has 27 rows with 2 seats in each row.  Which expression shows how many seats are in the entire theater?

27*2 = 54 seats

Hope this helps!

The expression showing the number of seats in the considered entire theater is given by: Option A: [tex]27 \times n[/tex]

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as [tex]a[/tex] and [tex]b[/tex]

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Now, for the considered situation in the problem's statement, we are specified that:

So, total number of seats = n + n + ... + n (27 times) = [tex]27 \times n[/tex]

Thus, the expression showing the number of seats in the considered entire theater is given by: Option A: [tex]27 \times n[/tex]

Learn more about multiplication here:

https://brainly.com/question/520497

Answer:

6 ln x + 3 ln y

Step-by-step explanation:

Answer:

There are 721 columns.

Step-by-step explanation:

6,489 ÷ 9 = 721