Referring to the figure, find the value of x

Referring To The Figure, Find The Value Of X

Answers

Answer 1
A scale of 1:50 000 means that every centimetre on the map is equal to 50 000 centimetres (500 metres) in reality.

The distance between two towns on that map is 6cm, therefore in reality there’s 6 * 50 000 = 300 000 centimetres, which is equal to 3 000 metres, which is equal to 3 kilometres.
Answer 2

Answer:

Step-by-step explanation:

By the triangle angle-sum theorem, all the angles of a triangle have to add up to equal 180°.  Thus,

72° + 5x° + x° = 180° and

72° + 6x° = 180° and

6x° = 108° so

x = 18°


Related Questions

what is the expression of -6a + 2a + 4a​

Answers

Answer:

answer is 12a

Step-by-step explanation:

6

+

2

+

4

6a+2a+4a

6a+2a+4a

Simplify

1

Combine like terms

6

+

2

+

4

6a+2a+4a

1

2

12a

Solution

1

2

Terica correctly simplifies the radical expression [tex]\sqrt[4]{81}[/tex] by first rewriting it as a rational exponent.

Which expression shows Terica's first step?

Answers

Answer:

Step-by-step explanation:

The symbol [tex] \sqrt[n]{a}[/tex] means [tex]a^{1/n}[/tex].

So then

[tex]\sqrt[4]{81}=81^{\frac{1}{4}}[/tex].

The expression that shows Terica's first step is [tex]81^\frac{1}{4}[/tex].

What is an exponent and why we need this form ?

An exponents indicates how many times a number is multiplied by it self.We need this form as it is more compact when writing large large numbers.

According to the given question Terica correctly simplifies the radical expression  [tex]\sqrt[4]{81}[/tex] by first rewriting it as a rational exponent.

We know [tex]\sqrt[n]{x}[/tex] can be written in rational exponent as [tex]x^\frac{1}{n}[/tex].

∴ [tex]\sqrt[4]{81}[/tex] can be written in radical exponent as [tex]81^\frac{1}{4}[/tex] which is

= [tex](9^2)^\frac{1}{4}[/tex].

= [tex](9)^\frac{2}{4}[/tex].

= [tex](3^2)^\frac{2}{4}[/tex].

= [tex](3)^\frac{4}{4}[/tex].

= [tex]3^1[/tex].

= 3.

learn more about exponents here :

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#SPJ2

write the equation of the line that satisfies the following conditions.

Answers

Answer:

x = 8

y = -6

Step-by-step explanation:

Vertical lines have a undefined slope and horizontal lines have a slope of 0. You'll write the equations for these types of lines like this.

Vertical Lines (x = x-intercept)Horizontal Lines (y = y-intercept)

Since we don't have two points, we are going to have to graph the points and draw a line to find the intercepts. The graphs will be shown below. From finding out what the intercepts are, we can substitute the according values into the formula shown above.

x = 8

y = -6

Best of Luck!

Carla has 4 packages of socks, and Jenna has 1 package of socks. Each package has 6 pairs of socks. Carla found the total number of pairs of socks by adding (6 times 4) + (6 times 1). Jenna used a different method but got the same answer. Which strategy did Jenna use?
A. 6 + 4 + 1
B. 6 times 4 + 1
C. (6 times 1) + 4
D. 6 times (4 + 1)

Answers

the correct answer is D because you would multiply the numbers in the bracket by 6 which would equal to 30

27/50 converted to a decimal​​

Answers

Answer:

0.54

Step-by-step explanation:

27/50

= 0.54

Hope it helps.

Find BC if AC = 13 and AB = 10

Answers

Answer:

BC=3

Step-by-step explanation:

We can solve this by eliminating given detail of A.

AC=13 , AB=10

To find BC, We minus AC With AB

BC= AC-AB

BC=3

3 Is the final answer

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

POD M1.11
CE
TO-
What equation would you
write to represent 8 group
of 3? What equation would
you write to represent 80
groups of 3? Write your
equations and then create a
visual representation for
each using place value
blocks.

Answers

34 is the answer for this one

We're planning to enclose a rectangular field with fencing, and we know that for whatever reason we want the field to be 50 feet square. We also know that the field's width should be 23 feet longer than the field's length. What are the field's dimensions?

Answers

Answer:

[tex]? \times \frac{?}{?} [/tex]

d

Answer:

2 by 25 feet.

Step-by-step explanation:

Let L and W be the length and the widht of the field

we want W = L + 23 and W x L = 50

So

(L + 23) x L = 50

[tex]L^2 + 23L = 50\\L^2+23L-50 =0\\(L+25)(L-2)=0\\L=-25 \text{ or } L = 2[/tex]

Since L must be positive then L =2 and W = 2 + 23 = 25.

Consider the function f(t) =
√²-9.
(a) Find the domain of f(t). Express your answer as an interval or union of intervals.
x
(b) Solve f(t) = 4. Enter your answer as a comma separated list.
t =
x

Answers

Step-by-step explanation:

a (-infinite , -3) U (3 , infinite)

b + 5 , - 5

68. Evaluate - 2a + 6b when a = 6 and b = -3

Answers

-2a + 6b

= -2(6) + 6(-3)

= -12 + (-18)

= -30

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{-2a + 6b}[/tex]

[tex]\huge\textsf{= -2(6) + 6(-3)}[/tex]

[tex]\huge\textsf{= -12 + (-18)}[/tex]

[tex]\huge\textsf{= -12 - 18}[/tex]

[tex]\huge\textsf{= -30}[/tex]

[tex]\huge\textsf{Therefore, your answer is: -30}[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day! }[/tex]

~[tex]\huge\textsf{Amphitrite1040:)}[/tex]

2(x-5)=14

Solve for x.​

Answers

Answer:

x=12

Step-by-step explanation:

2(x-5)=14

Multiply 2 into the parenthesis

2x-10=14.

Add 10 both sides.

2x=24

Divide 2 both sides.

x=12

Can someone please help and explain

Answers

Answer:

[tex]c = 300000 {(1.05)}^{50} [/tex]

Step-by-step explanation:

The future value formula is FV=PV(1+i)^n, where the present value PV increases for each period into the future by a factor of 1 + i.  value PV increases for each period into the future by a factor of 1 + i. 

[tex]fv = pv {(1 + r)}^{n} [/tex]

fv = future value

pv = present value

r = annual interest rate ( decimal number)

n= period

An airplane is flying in a direction of 165° with an airspeed of 650 mph. The wind is blowing at 50 mph in a direction of N 30° E. What is the ground speed and direction of the plane?
A) ground speed: 658 mph; direction 108°
B) ground speed: 639 mph; direction 161°
C) ground speed: 686 mph; direction 108°
D) ground speed: 698 mph; direction 161°​

Answers

Answer:

B) Ground speed: 639 mph; direction 161°

Step-by-step explanation:

165° = 75° South of East = S15°E, therefore;

The component of the speed of the airplane are;

650 × cos(75°) East or x-direction in vector form:[tex]$650 \times \cos \left(75^{\circ}\right) \mathrm{i}$[/tex]

650 × sin(75°) South or negative y-direction in vector form: [tex]$-650 \times \sin \left(75^{\circ}\right) \mathrm{j}$[/tex]

The speed of the airplane is [tex]$650 \times \cos \left(75^{\circ}\right) \mathrm{i}-650 \times \sin \left(75^{\circ}\right) \mathrm{j}$[/tex]  

The speed of the wind in vector form is 25i + 25·√3 j

The combined speed of the airplane and the wind is found as follows;

Combined: [tex]$\left(650 \times \cos \left(75^{\circ}\right)+25\right)\left[\dot{i}+\left(25 \cdot \sqrt{3}-650 \times \sin \left(75^{\circ}\right)\right) \mathrm{j}\right.$[/tex], which gives;

 

The resultant speed of the airplane, [tex]$\left.R=\sqrt{(} 193.23^{2}+(-584.55)^{2}\right)=615.66$[/tex]

The resultant speed of the airplane, [tex]$\mathrm{R}=615.66 \mathrm{mph}$[/tex]

The direction =[tex]$\arctan ((-584.55) /(193.23))=-71.7^{\circ}$[/tex]

The bearing [tex]$=90^{\circ}+71.7^{\circ}=162^{\circ}$[/tex]

Therefore, the closest option is option B, ground speed: 639 mph; direction 161°

Learn more about speed refer:

https://brainly.com/question/18868816

2 3/8 as a mixed number​

Answers

Answer:

19/18

Step-by-step explanation:

The mixed number 2 3/8 can be changed into the improper fraction 19/8.

Pls someone help I’ll give Brainly points

Answers

Answer:

These triangles are simliar because they're all scalene.

Step-by-step explanation:

The triangle ABC is an acute (having angles less than 90 degrees), scalene (no equal sides) triangle.

The triangle BCD is also an acute triangle and scalene.

The triangle ABD is an obtuse (having an angle over 90 degrees), scalene triangle.

When you round a number, what should you do with
the digits to the right of the place to which you
are rounding?

Answers

Answer:

In general, to round to a certain place value, look at the digit to the right of that place value and make a decision. Example: 5.1837 to the nearest hundredth would be 5.18 (round down since 3<5 ), but to the nearest thousandth, it is 5.184 (round up because 7≥5 ).

Step-by-step explanation:

Solve the following system of equations, using any method. Express your answers in one decimal place.

Answers

Answers:

x = 0y = 6.9

The value of x is exact. The y value is approximate.

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

Explanation:

Let's subtract the equations straight down.

The x terms subtract to -22x  since 9x-31x = 22xThe y terms go away because 7y-7y = 0The terms on the right hand side subtract to 0

After doing those three sets of subtractions, we have the new equation -22x = 0. This solves to x = 0 after dividing both sides by -22.

Plug this x value into any of the two original equations to solve for y

9x + 7y = 48

9(0) + 7y = 48

7y = 48

y = 48/7

y = 6.857 approximately

y = 6.9

[tex]\frac{w-8}{-3} =-9[/tex] show your work please

Answers

Answer:

[tex] \frac{w -8 }{ - 3} = - 9 \\ w - 8= - 9 \times - 3 \\ w - 8 = 27 \\ w = 27 + 8 \\ w = 35 \\ thank \: you[/tex]

53664 times 84 show work

Answers

I don’t know hekndssndidnbeyehebnrdidbdbkdndnfhndmdkdnnddo

If there are 100 students in your class and everybody flips a coin five times, how many people are likely to get five heads in a row?
This is with the assumption that every time you flip a coin, the chance that heads will end up on top is 1 in 2.

Will award brainiest, thank you!

Answers

If you flip a coin once, you have a 1/2 chance of getting heads. You will get either a head or tail.

Flipping a coin twice gives you a 1/4 chance of getting 2 heads since you will either get a 2 heads, 2 tails, a tail then head, or a head then tails.

From this we can see its pretty likely the pattern will continue if our chances of continually getting a head keeps halfing. So we can represent it as 1/2^n (half to the power of n) where n is the number of times we flip the coin.

So the odds of flipping a coin 5 times and getting 5 heads are 1/2 ^5 (half to the power of 5). Which gives us 1/32 or just over a 3% chance.

Here we have a probability problem.

We will find that the expected number of students that gets 5 heads in a row is 3.

First, we need to find the probability of getting 5 heads in a row.

We assume that the probability of getting heads in a flip is p = 1/2 = 0.5

Then for getting heads 5 times in a row, the joint probability will be the product of the individual probabilities, we get:

[tex]P = (0.5)*(0.5)*(0.5)*(0.5)*(0.5) = (0.5)^5 = 0.03125[/tex]

Now if we have N persons, such that all of them flip a coin 5 times, the expected number of people that will get 5 heads in a row will be equal to the total number of people times the probability of getting 5 heads in a row.

N*P

So if in the class there are 100 students, we have N = 100

The expected number of students that will get 5 heads in a row is:

[tex]100*P = 100*0.03125 = 3.125[/tex]

Because we can have a 0.125 of a student, we need to round this to the nearest whole number, which is 3.

So we should expect that 3 students will get 5 heads in a row.

If you want to learn more, you can read:

https://brainly.com/question/17089724

can anyone help me plz?

Answers

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

4v^2w^3(4v^6w^5-7y^4)

Factor out from the expression

for each function, what is the output of the given input?
For f(x) = -5x +1, find f(3).

a. -16
b. -14
c. -2
d. 16

Answers

Answer:

b. -14

Step-by-step explanation:

x is now 3

so -5(3)+1 = -14

Help pls will give Brainly points

Answers

Answer: yes

Step-by-step explanation:

don't attempt unless you have taken geometry.
two angles and complementary. the measure of one angle is 21 more than twice the measure of the other angle, find the measure of the angles.

Answers

Answer:

if it is 21 more thn twice then 21*2 would equal 42 then they are complementary so the you would get 49 as the second angle

Step-by-step explanation:

Answer:

the answer would be 67 and 23.

Step-by-step explanation:

Complementary angles are angles that add up to measure 90 degrees.

lets say angle one is y.

angle two would be 2y + 21.

so, 90 = y + 2y + 21. Group like terms to get 90= 3y +21.

subtract 21 from both sides 69=3y

divided both sides by three 23=y

so angle one is 23, and if you plug in 23 for y in angle two's equation you get 67.

why tan 90 is not defined



Answers

Answer:

As we have got results as infinity and we cannot define infinity and we cannot define infinity therefore tan 90 is undefined

Answer:

Its undefined because you can't divide 1 by

Nothing multiplied by 0 will give an answer of 1 , So the answer is undefined

2) One bag has a 2 red tiles, 4 blue tiles, and a green tile. A second bag has
yellow tile and 2 brown tiles. Alex draws one tile from each bag. What are all
the possible outcomes? How large is the sample space?

Answers

Answer:I donno

Step-by-step explanation:

which value is equivalent to -5/6?

Answers

Answer:

-5/6 or -0.833333333333

Step-by-step explanation:

step-by-step-ecuation

I don’t know how to do this. Can someone help?

Answers

Answer:

x1=8

x2=1/5

Step-by-step explanation:

-1(s-8)(5s-1) I think that is correct

determine the equation of the vertical line that passes through (9, -7)​

Answers

Answer:

x = 9

Step-by-step explanation:

For a vertical line, slope is undefined as tan π/2 is undefined. Therefore we cannot express the equation of straight line in terms of it's slope.

For a vertical line, equation is given by, x = c where c is the point on x axis from which the given line passes.

Therefore x = 9 is the equation.

Is 5x + 2 = 2x + 14 a one solution or a no solution or a real number

Answers

Answer:

it would be one solution

Step-by-step explanation:

It has one solution and is also a real number, but there's no pi or square root, so i'd go with one solution for the correct answer

Answer: One solution.

x=4

Step-by-step explanation: 5x+2−2x=2x+14−2x                                               3x+2−2=14−2                                                                                                       3x/3=12/3                                                                                                             x=4                

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