What is the value of x? 160° 51°​

Answers

Answer 1

Answer:

51= 1/2(160-x)

102=160-x

x=160-102=58

Step-by-step explanation:


Related Questions

Work out the area of the shaded shape.

Answers

Answer:

65 m²

Step-by-step explanation:

Area 1 :-

A = 3m * 9m A = 27 m²

Area 2 :-

A = (12-3-2) m * (9 - 5) m A = 7m * 4 mA = 28 m²

Area 3 :-

Area = 2m * 5 m A = 10 m²

Total Area :-

A = ( 27 + 28 + 10 ) m²A = 65 m²

please tell me the answer to this, thanks

Answers

Step-by-step explanation:

Hey there!

The equation is: 2x + 3y -12=0 (i)

From the given equation;

Slope (m) = (-coeff.of X)/(coeff.of y)

m = -2/3

Now; Let the missing component be "a".

The equation also can be written in;

The equation also can be written in;(y-8) = -2/3(x-a) (using one point formula)

3y - 24 = -2x + 2a

2x +3y -2a -24 = 0………(ii)

Since both equation are made from same coordinates, equating equation (i) and (ii).

2x + 3y -12= 2x +3y -2a -24

Cancel like terms,

-2a - 24 = -12

or, -2a = 12

or, a = -6.

Therefore, the missing value is -6.

Check:

Putting the value "a" in equation (ii).

2x + 3y -2(-6) -24 = 0

or, 2x+3y -12 = 0 (which is equal to equation (i).

Hope it helps!

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
There are 63 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answers

Answer:

There might be 31 or 32

Step-by-step explanation:

I would have a better answer if i knew the probability of the blue marbles being chosen srry.

El solar de Maria tiene forma rectangular los lados miden 36 cm y 40 cm ¿Cuántos metros cuadrados tiene el terreno? ¿Cuál es el perímetro del terreno?

Answers

Respuesta:

Área del rectángulo = 0.144m²

Perímetro del rectángulo = 1,52 m²

Explicación paso a paso:

Dado que el área del rectángulo = Largo * Ancho

Convertir cm a m

Los 36cm = los 0.36m

Los 40cm = los 0.4m

Sustituir;

Área del rectángulo = 0.36 * 0.4

Área del rectángulo = 0.144m²

Perímetro del rectángulo = 2 (L + W)

Perímetro del rectángulo = 2 (0.36 + 0.4)

Perímetro del rectángulo = 2 (0,76)

Perímetro del rectángulo = 1,52 m²

A cost of a washing machine is 70 percent the cost of a dishwasher .Both cost 3400 dollars .What is the cost of the dishwasher.

Answers

Answer:

2000

Step-by-step explanation:

set up equation

.7x+x=3400

combine like terms

1.7x=3400

divide by 1.7 on both sides

x=2000

The radius of a circle is 6 cm. What is its diameter?

Answers

Answer:

Step-by-step explanation:

d=2r=2, 6 =12

diameter=12

Match each angle pair with their relationship

Answers

Answer:

oh I thought you were talk about love well dang :(

Step-by-step explanation:


The line CD is defined by the points C(-2,1) and D(10,7).
Find the equation of the line CD.

Answers

Answer:

The equation of the line is; y = 0.5·x + 2

Step-by-step explanation:

The points that define the line CD = C(-2, 1) and D(10, 7)

The equation of the line can be presented in the form of the general equation of a straight line, y = m·x + c

Where;

m = The slope of the line = [tex]\dfrac{7 - 1}{10 - (-2)} = \dfrac{1}{2} = 0.5[/tex]

c = The y-intercept

From the obtained slope, m = 0.5, using point D(10, 7), the equation of the line in point and slope form is therefore;

y - 7 = 0.5·(x - 10)

From the above equation of the line in point and slope form, we get the general form of the equation of the line as follows

y - 7 = 0.5·(x - 10) = 0.5·x - 5

y - 7 = 0.5·x - 5

y = 0.5·x - 5 + 7 = 0.5·x + 2

y = 0.5·x + 2

The equation of the straight line in general is y = 0.5·x + 2.

Explain and help me with these pls and tyty ( solving using the substitution method )

Answers

Answer:

I suck at math but take a picture and put it in the app called "Math-way" or "Photo-math" I'm a senior and still use these

A boat travels to an island and back in 78 minutes. If the speed of the boat going to the island is 14 mph, and its speed returning is 12 mph, how far away is the island

Answers

Answer:

8.4 miles

Step-by-step explanation:

Given that :

Total time taken = 78 minutes = 78/60 = 1.3 hours

To Speed = 14 mph

Fro Speed = 12 mph

Let the distance be represented as, d

Distance = speed * time

Time = distance / speed

To time + Fro time = 1.3 hours

d / 14 + d / 12 = 1.3 hours

Take lcm of 14 and 12 ; = 84

(6d + 7d) / 84 = 1.3

13d /84 = 1.3

13d = 1.3 * 84

13d = 109.2

d = 109.2 / 13

d = 8.4 miles

The distance is 8.4 miles

A company uses two vans to transport
workers from a free parking lot to the
workplace between 7:00 and 9:00 a.m.
One van has 6 more seats than the other.
The smaller van makes two trips every
morning while the larger one makes only
one trip. The two vans can transport 57
people, maximum.
How many seats does the larger van have?

Answers

x is the seats in the small van.

y is the seats in the large van = (x + 6). Since the large has 6 more seats.

Since the 2 vans can transport 57 people.

Small van makes 2 trips = 2x.

Large van makes one trip = (x + 6).

2x + (x +6) = 57

2x + x + 6 = 57

3x + 6 = 57

3x = 57 -6

3x = 51

x = 51/3

x = 17.

The larger van has (x + 6) = (17 + 6) = 23.

The larger van has 23 seats.

Answer:

The larger van has 23 seats

Step-by-step explanation:

Create a system of Equations:

1. Define variables.

> let x=small van and y=larger van

2. create 2 equations based on the information given.

> y = 6 + x

> 2x + y = 57

3. Use any method to solve

Substitution: 2x + (6 + x) = 57. x=17

                      now plug x in to the original equation to solve for y (the larger van)

                      y = 6 + 17 and y = 23

Elimination: 2y = 12 + 2x

                     y = 57 - 2x

         3y = 69  and y = 23

what is the length of KM ? no links . HELP

Answers

Answer:

40 units

Step-by-step explanation:

9x-5=7x+7

9x-7x=7+5

2x=12

x=6

6x+4

6(6)+4

36+4

40

What is the value of a?
A.50 B.90 C.27.5 D.45

Answers

Answer:

[tex]a = 45 \times 5 \\ a = 90 \degree[/tex]

Answer:

B. 90

Step-by-step explanation:

The 45° angle is an inscribed angle that subtends arc a.

An inscribed and measures half the measure of its subtended arc.

45° = (1/2) * a°

a = 2 * 45

a = 90

What is the length of leg s of the triangle below?
45
4-12
90°
45

Answers

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

s × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

s = 4 → A

What is the classification for this polynomial? X2y+3x3

Answers

Answer:

quadratic

Step-by-step explanation:

hope you got it

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
14
x
х
12

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, isosceles, equilateral, scalene and right angled triangle.

A right angled triangle is a triangle in which one of the angles is 90°. In a right angled triangle, the longest side is known as the hypotenuse and the side is opposite to the right angle.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given the question attached, using Pythagoras theorem:

18² = x² + 12²

324 = x² + 144

x² = 180

x = 13.42

choose the equation that's the line that passes through the point (-2,-3) and has a slope of -6

Answers

Answer:

Y = -6X - 15

Step-by-step explanation:

-3 = -6(-2) + B

-3 = 12 + B

B= -15

Answer:

You didn't attach the options, but y = - 6x - 15

Step-by-step explanation:

Using the equation y = mx + b, you can plug in values that you have to solve for b, the y intercept. Since m is the slope and the slope is - 6, and you have a y and x value, you can write the equation as follows:

-3 = - 6 * -2 + b

Then solve for b

-3 = 12 + b

-15 = b

Then you rewrite the original formula with the values of m and b:

y = - 6x - 15

Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many
$5 bills does he have?

Answers

I believe The answer is 42

Calculate the sum of the integers from 52 to 108

Answers

Answer:

4560

Step-by-step explanation:

Question 1 of 10 An equation allows you to find the x- and y-coordinates of any point on the xy- plane. A. True B. False​

Answers

Answer:

True

Step-by-step explanation:

The requried, an equation allows you to find the x- and y-coordinates of any point on the xy- plane. The given statment is true.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

An equation in two variables (such as y = mx + b, where m and b are constants) allows you to find the x- and y-coordinates of any point on the xy-plane that satisfies the equation.

To find the x-coordinate of a point, you can plug in a value for y and solve for x. To find the y-coordinate of a point, you can plug in a value for x and solve for y.

Learn more about equations here:

brainly.com/question/10413253

#SPJ7

Which of the following equations is used to find the value of c?

Answers

Answer:

D. [tex]a^{2} + b^{2} = c^{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

a squared plus b squared equals c squared (d) . This formula is used to find a specific side of a triangle.

BD=16 and AC is the perpendicular bisector of BD

Answers

Answer:

AC =

Step-by-step explanation:

AC = 16/2

= 8

THAT IS THE SOLUTION ABOVE

Pls ans this question step by step not only ans if it will help me than I will thanks uu comment uu pls ansme

Answers

Answer:

-2x+7

Step-by-step explanation:

modrater give answer


if 27x = 45263514282 than find the value of 200x ​

Answers

═══════ღ❦ღ══╮

[tex]\boxed{ \sf{Answer}} [/tex]

↦ First find the value of x

[tex]27x = 45263514282 \\ x = \frac{45263514282}{27} \\ x = 1676426454.89[/tex]

↦ Now, find the value of 200x

[tex]x = 1676426454.89 \\ 200x = 200 \times 1676426454.89 \\ 200x = 335285290978[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Given that,

→ 27x = 45263514282

Then we have,

To find the required value of 200x.

Before that,

find the required value of x.

→ 27x = 45263514282

→ x = 45263514282/27

→ [x = 1676426454.89]

Now we can,

Solve for the value of 200x.

→ 200x

→ 200 × (x)

→ 200 × (1676426454.89)

→ 335285290978

Hence, 200x is 335285290978.

How to solve this step by step n get the answer

Answers

Answer:

Answer 1 :-

[tex]\implies m_1 = -3 [/tex]

[tex]\implies y - intercept = 7 [/tex]

Answer 2 :-

[tex]\implies m_1 = -\dfrac{1}{2} [/tex]

[tex]\implies y - intercept = -4 [/tex]

Step-by-step explanation:

The Slope Intercept Form of the line is given to us . The equations given are ,

[tex]\implies y + 3x = 7 [/tex]

[tex]\implies y + \dfrac{1}{2}x = -4 [/tex]

Now we know the standard equation of slope intercept form , is

[tex]\implies y = mx + x [/tex]

Where ,

m is slopec is y intercept .

So , we can write about the equations as ,

[tex]\implies y = -3x + 7 [/tex]

[tex]\implies y = - \dfrac{1}{2}x -4 [/tex]

On comparing to the Standard form ,

Answer 1 :-

[tex]\implies m_1 = -3 [/tex]

[tex]\implies y - intercept = 7 [/tex]

Answer 2 :-

[tex]\implies m_1 = -\dfrac{1}{2} [/tex]

[tex]\implies y - intercept = -4 [/tex]

What is y?
[tex]8^{y+2}=\frac{2^4}{4^{2y}}[/tex]

Can someone please explain to me in details and show me the steps TvT?

Answers

Answer:

y = -2/7

Step-by-step explanation:

8^(y+2) = 2^4/4^(2y)

you want to on both sides so you can solve for the exponents

8= 2^3

4= 2^2

2^3y+6 = 2^4/2^(4y)

2^(3y+6) = 2^(4-4y)

3y + 6 = 4 - 4y

7y = -2

y = -2/7

Taking a discount of 50% off followed by a discount of 50% off results in a total discount of_______. A. 25% B. 50% C. 75% D. 100%​

Answers

Answer:

A. 25%

Step-by-step explanation:

50% = 1/2

1/2 of 1/2 = 1/2 * 1/2=

1/4 = 25%

Answer:

100%-50%=50% so the answer is B

What is the capacity of a rectangular tank calculated to the nearest litre? Length: 85cm Width: 65cm Height: 30cm

Answers

Answer:

Capacity of the rectangular tank in litres is 165.75l

Step-by-step explanation:

Volume of the tank

[tex] = lbh[/tex]

[tex] = 85 \times 65 \times 30[/tex]

[tex] = 165750 {cm}^{3} [/tex]

Capacity of the tank

[tex] = 165750ml[/tex]

[tex] = 165.75l[/tex]

pls help w explanation!!

A town with a population of 5,000 is being divided
into two voting districts: District X and District Y.
The populations of the two districts must differ by no
more than 500 people. Which of the following
systems represents all possible values for the
population x of District X and the population y of
District Y?
A) x-y ≤ 500 and x+y =5,000 B) x-y =500 and x+y ≤ 5,000 C) -500 ≤ x - y ≤ 500 and x+ y =5,000 D) -250 ≤ x - y ≤ 250 and x + y = 5,000

Answers

Answer:

A is the Answer

Step-by-step explanation:

Since the population is being split up into 2 divisions out of 5,000.

This means District X and Y must add up 5000.

[tex]x + y = 5000[/tex]

District X and Y must differ no more than 500 people.

So this means that X and Y total people difference cannot be over 500 people. So the equation for this is

[tex]x - y \leqslant 500[/tex]

A shows this so A is the answer.

if you roll a single die and get 4 fives in a row what is the probability that you would get a 5 on the next roll

Answers

Answer

(1/6)⁴ = 1/1296

Step-by-step explanation:

robabilty of getting a 5 in a throw of dice is  1/6 . So, the required probability of getting 4 5’s in rolling a dice 4 times is  (1/6)4

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