Prove that triangle PQR is congruent to triangle QSR.

X would be 10, and 2 because:

(10-10) = 0 and (2-2) = 0

The extraneous solution is correct because the equation does not hold true when x is 2 and only hold trues when it is 10.

Edit: the extraneous solution is 2 is because it doesn't hold true to the equation.

Answer:

4^3 x 5^2

Step-by-step explanation:

Index notation just makes the numbers being multiplied by themselves easier to read.

Answer:

4³×5²

Step-by-step explanation:

chill bro it's basic

Answer:

...

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) ∠1 =  ∠2   {Alternate angles are equal}

6x + y - 4 = x - 9y  + 1

6x + y      = x - 9y + 1 + 4

6x + y      = x - 9y + 5

6x - x  + y + 9y = 5

  5x  + 10y = 5

Divide the entire equation by 5

  x  + 2y = 1 -------------(I)

∠2 + ∠3 = 180       {Linear pair}

x - 9y + 1 + 11x + 2 = 180

x + 11x - 9y   = 180 - 2 - 1

          12x - 9y = 177

Divide the whole equation by 3

       4x - 3y  = 59    -------------(II)

B) Multiply equation (I) by 3 and multiply equation (II) by 2. Thus y will be eliminated and we can find the value of x.

(I)* 3           3x + 6y = 3

(II)*2           8x - 6y =  118    {Now add}

                  11x        = 121

                            x = 121/11

x = 11

Plugin x = 11 in equation (I)

                            11 + 2y = 1

                                  2y = 1 -11

                                  2y = -10

                                   y = -10/2

y = -5

C) ∠1 = 6x + y - 4

         = 6*11  - 5 - 4

          = 66 - 5 - 4

           = 57

∠2  = x - 9y + 1

        = 11 -9*(-5) + 1

         = 11 + 45 + 1

          = 57

∠3 = 11x + 2

      = 11*11 + 2

      = 121 + 2

      = 123

Answer:

B

Step-by-step explanation:

1000mm=1m

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Answer:

Step-by-step explanation:

an (the nth term ) = a1 + d(n - 1)

=  6 + 3(n - 1).

a17 = 6 + 3(17-1)

= 6 + 48

= 54.

Answer:

-7/5

Step-by-step explanation:

(-3 - 4) / (2 - -3) = -7/5

Answer:

The value of g(x) at x=-3 is -42

That is g(-3)=-42

Step-by-step explanation:

Given that the function g is defined by

To find the value of g(-3) :

That is to find the value of g(x) at x=-3 :

Put x=-3 in the above function we get

Therefore g(-3)=-42

The value of g(x) at x=-3 is -42

That is g(-3)=-42

Answer:

B. 31.4

Step-by-step explanation:

To find x, the hypotenuse, we need to use sin because we have been given the opposite (the side opposite the angle 35°) and we need to work out the hypotenuse (the longest or slanted side):

SOH, CAH, TOA

sin(θ) = opposite ÷ hypotenuse

Sub in the values (we don't know the hypotenuse so i've called it x):

sin(35) = 18 ÷ x (multiply both sides by x)

x × sin(35) = 18 (divide both sides by sin(35))

x = 18 ÷ sin(35) = 31.38204...

x ≈ 31.4

Hope this helps!

Answer:

Step-by-step explanation:

a=e= 90 b/c it is square

b= 45, it half of square

c base in rule of sin or cos, tan.

d=2,85

Answer:

m /CBA = 82 degree

Step-by-step explanation:

if you want explanation tell me

Answer:

y - 3 = 2/3(x + 2)

Step-by-step explanation:

slope = 2/3

point-slope form --> y - y1 = m(x - x1)

y - 3 = 2/3(x - -2)

y - 3 = 2/3(x + 2)

point slope form of the line is y - 3 = 2/3(x + 2)

Answer:

y - 3 = 2/3(x + 2)

Answer:

Equation of Parallel Line:  y = -7x - 44

Equation of Perpendicular Line:  y = x/7 - 8/7

Step-by-step explanation:

1) Parallel

Substitute (-6, -2) to find C

-2 = -7(-6) + c

-2 = 42 + c

-2 - 42 = c

c = -44

y = -7x -44

2) Perpendicular

Negative reciprocal

Substitute (-6, -2) to find C

-2 = 1/7(-6) + c

-2 = -6/7 + c

-2 + 6/7 = c

c = -8/7

y = 1/7x - 8/7 or

y = x/7 - 8/7

The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,

therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).

The choice that correctly describes how the graph of g(x) compares with f(x)

is the option; H. The graph of g(x) is translated unit(s) up compared to graph

of f(x).

Reasons:

The given function is f(x) = 5·x - 4

The function g(x) = f(x) + 12

Required:

To select the correct choice from the given options

Solution:

The difference between f(x) and the required function, g(x), is the addition

of a constant positive value of 12 to the function f(x).

Therefore, each f(x) output value is further increased by 12 to obtain the

graph of g(x), which gives;

The graph of g(x) is translated 12 units up compared to the graph of f(x),

which corresponds with the option H.

Learn more here:

https://brainly.com/question/15938361

We want to create a linear equation to model the given situation.

A) c(r) = $6.00 + $1.50*r

B) 19 rides.

We know that the carnival charges $6.00 for entry plus $1.50 for each ride.

A) With the given information we can see that if you ride for r rides, then the cost equation will be:

c(r) = $6.00 + $1.50*r

Where c(r) is the cost for going to the carnival and doing r rides.

B) If you have $35.00, then we can solve:

c(r) = $35.00 =  $6.00 + $1.50*r

Now we can solve the equation for r.

$35.00 =  $6.00 + $1.50*r

$35.00 -  $6.00 = $1.50*r

$29.00 = $1.50*r

$29.00/$1.50 = r = 19.33

Rounding to the next whole number we get: r = 19

This means that with $35.00, Dennis could go to 19 rides.

If you want to learn more, you can read:

https://brainly.com/question/13738061

Answer:

3

Step-by-step explanation:

[tex]\sqrt{133225} =365[/tex]

Answer:

365

Step-by-step explanation:

√133225 = 365

(365 × 365 = 133225)

Hope this helps!

Answer: The answer is A

Step-by-step explanation: 100% Right Hope This Helps

Answer:

0.05/min or plus 0.25 every 5 minutes

Step-by-step explanation:

To find the unit rate divide 0.25 by 5:

0.25 ÷ 5= 0.05

OR

After every 5 minutes, Eric has traveled 0.25 miles.

Hope this helps!

Answer:

line L1 and line L2 passes L2.

The x-coordinate of the point where L2 meets the x-axis is (1, 4).

The equation of the straight line has its slope and given point.

The equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)

m is the slope of the unknown line (x₀, y₀) is the given point.

First is to get the slope of the known line:

The standard equation of the line

y = mx+c, it can be seen that m = 2

Then we will calculate the slope of the required line.

Since L1 is perpendicular to L2, the product of their slope will be -1 so,

mm₁ = -1 where m₁ is the slope of the required line L2.

Given m =2

m₁ = -1/m

m₁ = -1/2

Now we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;

y-y₀ = m(x-x₀)

Given (x₀, y₀) = (2, 1) and m₁ = -1/2

y-2 = -1/2(x-1)

open the parenthesis;

y-2 = -x/2+1/2

multiply through by 2:

2y-4 = -x+1

2y+x = 1+4

2y+x = 5

Hence, the equation of the line L2 is 2y+x = 5

Therefore, the x-coordinate of the point where L2 meets the x-axis is (1, 4).

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ2

Answer:

8.) Rational

10.) Irrational

Step-by-step explanation:

8.) This is rational because although it is a decimal, it is terminating, meaning it has an end.

10.) This is irrational because it is a repeating decimal with seemingly no pattern.

860.55 mm

Explanation:

The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):

S= 6*b*(a+h)

where b = is the side of the base, a is the apothem length, and h = the height

S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm

Could have also have used another formula without the apothem:

S =3 * √3 * b² + 6 * b * h

S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55  + 528 = 860.55 sq mm

Answer:

$200

Step-by-step explanation:

Change 15% into decimal notation, that will give you 0.15

Divide $30 by 0.15

$30/0.15 = $200

Therefore, his paycheck was $200

Answer:

x > 7

Step-by-step explanation:

Answer:

look at the photo....................

Answer:

1,000,000

Step-by-step explanation:

Answer:

Although it is a short-lived perennial, tomato plants can bear fruit for more than one year in parts of the world that never dip below 65 degrees Fahrenheit. If you have a greenhouse and can keep it heated during the cold months, consider placing an experimental beefsteak, plum or grape tomato plant among your tropical flowers.

Step-by-step explanation: