Given that line a is parallel to line b, find the values of x and y in the diagram.

Answer:

8

Step-by-step explanation:

280/35=8

Answer:

8 hours.

Step-by-step explanation:

280/35 = 8

Answer:

The solution is (2,-2)

Step-by-step explanation:

Answer:

103

Step-by-step explanation:

I think

Answer:

miguel did

Step-by-step explanation:

i just did this

Answer:

D=4

Step-by-step explanation:

a. The solution of the equation x + 2 = √3x + 10 is x = -3 or x =2.

b. Extraneous solution is x= -3.

c. Extraneous solution does not satisfy original equation.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

As given in the question,

Given equation :

x + 2 = √3x + 10

a. Squaring both the sides

( x + 2 )² = ( √3x + 10 )²

⇒ x² + 4x + 4 = 3x + 10

⇒ x² + x - 6 =0

⇒ x² + 3x -2x -6 =0

⇒ ( x+ 3) ( x -2) =0

⇒ x= -3 or x = 2

b. Extraneous solution:

x = -3

-3 + 2 = √3(-3)+ 10

⇒ -1  ≠ 1 extraneous solution.

x= 2

2+ 2 =√3(2) +10

⇒4 = 4 not extraneous.

c. Extraneous solution does not satisfy original equation

Therefore, the solution of the equation is x = -3 or x=2and its extraneous solution is x =-3. Extraneous solution does not satisfy original equation.

Learn more about equations here

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The complete question is :

Use the equation below to answer these questions.

x + 2 = √3x + 10

a) What is the solution to the equation?

b) What is the extraneous solution? Why?

c) In general, what is an extraneous solution?

Answer:

4 * 1.25 =  5

Step-by-step explanation:

4 boxes of pasta (4) at 1.25 (1.25) 'each' (*)

Answer:

1.024km/h

Step-by-step explanation:

speed=distance/time

speed=420/6 hours 15 minutes

speed=420/410

speed=1.024km/h

Answer:

Yes

Step-by-step explanation:

95 multiplied by 2 is 190

130 multiplied by 2 is 260

190+260 is 450

Answer:

95 x 2=190

130 x 2= 260

260+190= 450

he can and will still have some change

800-450=350

Step-by-step explanation:

hope this helps if not then sorry good luck and bye

Answer:

im gonna guess that the x's aren't multiplication, the answer is 14x+20

Answer:

x = 78

y = 115

Step-by-step explanation:

Answer:

X= 78°

Y=115°

Step-by-step explanation:

180° - 102°

115 = 115°

Answer:

SAS

Step-by-step explanation:

The triangles are similar by SAS. Two side lengths are given, and we know that vertical angles are congruent.

It is not SSS because we do not know the side lengths of FG and BC.

It is not AA because we do not know two angle measurements.

Answer:

20/40 = 1/2

Step-by-step explanation:

5/8 * 4/5

multiply the numerator with the numerator and denominator with the denominator

you get 20/40 or 1/2

Answer: 0.5 or 1/2

Step-by-step explanation:

Answer:

y = 3x - 5

Step-by-step explanation

Answer:

Y = 3x - 5

Step-by-step explanation:

6x - 2y = 10

-2y = -6x + 10

y = 3x - 5

Answer:

5.68*10⁵

Step-by-step explanation:

you can factor 10⁴ at the beginning too but I found it easier to explain what happens this way

Answer:

4 x 10^6

Thanks! Have a great day! :)

Answer:

l = 720ft w = 450ft

Step-by-step explanation:

[tex]2340 = 2l + 2w \\ l = w + 270 \\ 2340 = 2(w + 270) + 2w \\ 2340 = 2w + 540 + 2w \\ 1800 = 4w \\ w = 450 \\ \\ l = 450 + 270 \\ l = 720[/tex]

Answer: hope this

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

To evaluate 3(w*8)+x, replace 'w' with (1/3) and 'x' with 4:

3([1/3]*8) + 4

We can multiply 3, [1.3] and 8 in any order, then add 4:

1*8 + 4, or            8 + 4 = 12

Answer:

10

Step-by-step explanation:

please look at the image below.

Answer = 1.8

Step 1) 3 ÷ 2.7 = 0.900

Step 2) 0.900 x 2 = 1.8

Time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

Given that, The Coney Island Boardwalk is 2.7 miles long.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

A person walks at the average speed of 3 mph.

We know that, speed = Distance/Time

= 2.7/3

= 0.9 hours

Hence, time taken by the person to walk the boardwalk to the end and back is 0.9 hours.

To learn more about the speed, distance, and time visit:

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Answer:

its 1/4 .............1/2/2=1/4

I hope it helped u

Answer:

1/4

Step-by-step explanation:

the way you do this is by multiplying 1/2 by 1/2

Answer:

which one is 29???

Step-by-step explanation:

Answer:

The first blue option or 8x - 17 = 5x + 19

Step-by-step explanation:

    They are vertical angles, so they will be set equal to each other.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Step-by-step explanation:

(x1,y1) = (-4,0)

(x2,y2) = (0,2)

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 0)/(2 - 0) = (x + 4)/(0 + 4)

y/2 = (x + 4)/4

4y = 2(x + 4)

2y = x + 4

y = x/2 + 2

Option → C

Answer:

7/10

Step-by-step explanation:

Try 7/10

(7/10)^2=49/100

Answer:

A

Step-by-step explanation:

We can calculate the equation of the lines based on two points. First line m:

y = ax +b

where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:

a = [tex]a = \frac{y_1-y_2}{x_1-x_2} = \frac{4- -32}{2- -4} = \frac{36}{6} = 6.[/tex]

So:

y = 6x + b

we can find the y intercept by substituting the x and y for one of the points:

solving for b:

b=-32-(6)(-4)= -8.

So the equation is:

y = 6x - 8.

We can change it to:

y + 8 = 6x

8 = 6x - y.

So it’s (A).

Hope that helps!

Answer:

B I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

four times the sum of a number and 9 is 16

4 *(x + 9) = 16

4x + 36 = 16

4x = 16 - 36

4x = -20

x = -5

---------------

4 * (-5 + 9) = 16

16 = 16

true

Answer: 50

Step-by-step explanation:

exterior angles are supplement of interior angle therefore the 110 thing must be 70, also youre given 60 so 70+60=130

50 is missing from 180

Answer:

$4,800.00 might be the answer if I did it right.

Answer:

10 days

Step-by-step explanation:

15 men -----  12 days

18 men -----    x ?

They are inversely proportional

more men less days

15 / 18  * 12 = 10 days