angle abc and dcb make a linear pair. of abc=2x+9 and dbc=10x+15,find x

Answers

Answer 1

Answer:

x = 13

Step-by-step explanation:

A linear pair of angles sum to 180° , then

2x + 9 + 10x + 15 = 180 , that is

12x + 24 = 180 ( subtract 24 from both sides )

12x = 156 ( divide both sides by 12 )

x = 13


Related Questions

Can someone help me?

Answers

Answer:

x = 5

Step-by-step explanation:

If the lines containing points A, B, C, D are parallel, then those two angles are equal because they would be corresponding angles.  Therefore, you would set up this equation:

25x - 17 = 20x + 8

Subtract 20x from both sides

5x - 17 = 8

Add 17 to both sides

5x = 25

Divide both sides by 5

x = 5

The first container of milk contains twice as much milk as the second container and the 3 gallons of milk from the first container, the first container has 4.5 times as much milk as the second. How many gallons of milk were in each container originally?

Answers

Answer:

There are [tex]4.58[/tex] gallons of milk in each container.

Step-by-step explanation:

Given:

[tex]1[/tex]st container has [tex]2x[/tex] gal.

[tex]2[/tex]nd container has [tex]x[/tex] gal.

To calculate the number of gallons

[tex]2x - 3 = x-2 + 4.5(x-2)[/tex]

[tex]2x - 3 = 5.5x - 11[/tex]

[tex]-3.5x = -8[/tex]

[tex]x = 2.29[/tex] gal.

[tex]2x = 4.58[/tex] gal.  

Hence, there are [tex]4.58[/tex] gallons of milk in each container originally.

Learn more about Gallons, refer:

https://brainly.com/question/237650

tom is 2 kg heavier than harry, who is 3 kg heavier than ben. when they add up all their weights, it comes to 65 kg. how many kg does harry weigh?

Answers

Answer:

Step-by-step explanation:

Let Harry = x

Tom = harry + 2

Tom = x + 2

Ben + 3 = harry

harry - 3 = ben

x - 3 = ben

Tom + harry + Ben = 65

x + 2 + x + x - 3 = 65

3x - 1 = 65                         Add 1 to both sides

3x = 65 + 1

3x = 66                             Divide by 3

x = 66/3

x = 22

So harry = 22 kg

Pie graphs should be used when the data is represented as a percentage.


True
False

Answers

Answer: True

Hope this helps!

The radius of a circle is 12cm.A chord of the circle is 16cm long.Calculate the distance of the chord from the centre of the circle.Give the answer to 1 decimal point.

NO LINKS PLEASE!!!

Answers

the distance d of the chord from the center of the circle is:

d^2 = 12^2 - (16/2)^2
d^2 = 144 - 64
d^2 = 80
d = 8.9 cm

Find the slope of the line through each pair of points (20,-16),(19-16)

Answers

Answer:

Undefined slope.

Step-by-step explanation:

The formula should be y2 - y1 over x2 - x1

Points ( 20,-16 ) and ( 19, -16 )

So ( -16 - ( -16 ) ) over ( 19 - 20 )

0 over -1

The slope is 0. Undefined.

Answer:

Slope = 0

This line is not sloped. It moves flat relative to the x axis.

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

= (-16 - (-16)) / (19 - 20)

= (-16 + 16) / (-1)

= 0 / -1

= 0

Select the inequality that represents the graph.

Answers

The second option is correct, I,e what you've chosen

Please answer , with work . Thank you !

Answers

Hope this helped pls give me the brainliest :)))

f(x) = x-4.
find f(b)


Answers

Answer:

x0.4

Step-by-step explanation:

If $10,000 is invested at a rate of 2 percent for 5 years, how much money is in the account at the end of the term?

$200
$1,000
$10,000
$11,000

Answers

Using the simple interest formula: total = start(1 + rate x time)

Total = 10,000 x ( 1 + 0.02 x5)

Total = $11,000

Answer: $11,000

pls help me and explain.

(3x^a y^b z^c)(-y^f z^g)

Answers

Answer:

-3 x^a y^(b + f) z^(c + g)

Step-by-step explanation:

Hope this will help

HELP PLEASE!! 2 part question

Answers

Answer: B. 1 1/2

Step-by-step explanation:

5) B 1 1/2
6) D $115.50

Alex is 1.88 meters tall and Belle is 1.73 meters tall. How much taller is Alex than Belle in meters

Answers

Answer: 0.15 meters taller

Step-by-step explanation:

Amy spent $35 on a magazine and seven notepads. If the magazine costs $7, then how much was each notepad?

Answers

Hello :D

To work this out you need to do:

$35 - $7 = $28

$28/7 = $4

Each notebook costed $4

Correct answer please im doing 100 points

Answers

Answer:

it is commutative properties

That’s commutative property

if 4 is added to greater number the sum is thrice the smaller number find the number​

Answers

Sentence is not clear, but based on what i understood :

The following sum : "4 added to a greater number" can be written as follow. Let x be that greater number (x > 4) :

"4 + x"

Then this Sum's value, is thrice the smaller number : 3 × 4 = 12.

Finally, we need to solve this equation :

4 + x = 3 × 4

4 + x = 12

We subtract 4 on both sides of the equation :

4 + x - 4 = 12 - 4

x = 8

So this number x, is equal to 8.

Solve for x:

- 4x – 10 = x + 5​

Answers

Answer:

x=-3

Step-by-step explanation:

-4x-10=x+5

-x         -x

-5x-10=5

    +10  +10

-5x=15

/-5   /-5

x=-3

Which temperature is higher: -10 or -100?​

Answers

Answer:

-10 is higher

Step-by-step explanation:

Because -100 is just going slower a negative number as the number get bigger it goes lower

Hope This Helped

How would the domain and range of the function y = 1/4x-6 be determined? Explain. ​

Answers

Answer:

ok my fwend

Step-by-step explanation:

Solve for X. Show your work


2(3x - 5) = 4x + 5

Answers

2(3x - 5) = 4x + 5

6x - 10 = 4x + 5

6x - 4x = 5 + 10

2x = 15 / : 2

x = 7,5 ← the end

Answer:

[tex]x = \frac{15}{2} [/tex]

Step-by-step explanation:

[tex]2(3x - 5) = 4x + 5[/tex]

[tex]6x - 10 = 4x + 5[/tex]

[tex]6x - 10 - 4x = 5[/tex]

[tex]6x - 4x = 5 + 10[/tex]

[tex]2x = 5 + 10[/tex]

[tex]2x = 15[/tex]

[tex]x = \frac{15}{2} [/tex]

x4 • x-4 WHAT IS THIS ANSWER!!???

Answers

x^5 (X to the fifth power) - 4 (x^5 - 4)

Using the Triangle Sum Theorem. Determine the angle measure
of <1.
38
31
(78 and 31 degrees)

Answers

Answer:

71 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a triangle is always 180 degrees.

Knowing this, to solve for the measure of angle 1, subtract 78 and 31 degrees from 180:

180-78-31

= 71

Therefore, angle 1 measure 71 degrees.

I hope this helps!

. Use the number line to illustrate the difference: -3-(-7)​

Answers

The answer is 4.
Just go to your first number (-3) and then count your other because to the right (-7) and there you got your answer.

Sarah has saved $150. She wants to double the amount she saves each month. As an incentive, Sarah’s grandma says if she saves that amount, she will give her an additional $50 each month. What are the recursive formula and first term for Sarah’s saving’s?

Answers

Answer:

A₁ = $150.

Step-by-step explanation:

We know that:

Sarah has saved $150 at the moment.

She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300

And if she saves the $300, then her grandma will give her another $50.

Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:

2*A + $50

Then the recursive relation is just:

Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:

A₁ = $150.

What is the answer for this question please

Answers

8/21 wil be your answer for this question

Is -1 35/55 an irrational number

Answers

Answer:

yes

Step-by-step explanation:

-120 = -8x what is x ?

Answers

Answer:

- 15 is your answer.

I hope it will help you a lot.

Answer: x=15

Step-by-step explanation: −120=−8x                                                                     −8x /−8 = −120 /−8                                                                                                         x=15                                  

               

Un terreno tiene las siguientes dimensiones 52 m x 44 m. Una persona trota por la orilla del terreno y todos los días recorre 4.5 vueltas, partiendo de un vértice del rectángulo, si todo el recorrido lo hace en 1.47 minutos ¿Cuál es la magnitud de la velocidad (m/s) que realizó?

Answers

Podemos definir la magnitud de la velocidad como el cociente entre la distancia total recorrida y el tiempo que tomo recorrerla.

Encontraremos que la magnitud de la velocidad es 9.8 m/s.

En este caso, tenemos un terreno rectangular de 52m por 44m.

Recordamos que el perimetro de un rectangulo de largo L y ancho A está dado por:

P = 2*(L + A)

En este caso, el perimetro será:

P = 2*( 52m + 44m)  = 192m

Si la persona recorre este perimetro 4.5 veces, entonces la distancia total que recorre es 192 metros por 4.5:

distancia = 4.5*192m = 864m

Y sabemos que la recorre en 1.47 minutos.

Notar que queremos la magnitud de la velocidad en metros sobre segundo, por lo que debemos reescribir este tiempo en segundos.

1 minuto = 60 segundos

Entonces:

1.47 minutos = (1.47)*60 segundos = 88.2 segundos.

Finalmente, la magnitud de la velocidad será:

V = (864m)/(88.2s) = 9.8 m/s

Si quieres aprender más, puedes leer:

https://brainly.com/question/12196819

Slope through (―2,4), (1,7)

Answers

If this is the correct format you’re looking for: Y = x + 6

if the point (3,-13) is located on the terminal ray of an angle, θ, find; sin θ , sec θ, cot θ

Answers

Find the value of the trigonometric function.
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