insert two numbers between 54 and 2 so that the four numbers are in geometric sequence.​

Answer:

y = 4

RS = 35

ST = 26

Step-by-step explanation:

Given:

RS = 8y + 3

ST = 5y + 6

RT = 61

Required:

a. Value of y

b. Numerical lenght of RS and ST

SOLUTION:

a. Points R, S and T are collinear, therefore, based on segment addition postulate, the following equation can be created to find the value of y:

[tex] RS + ST = RT [/tex]

[tex] (8y + 3) + (5y + 6) = 61 [/tex] (substitution)

Solve for y

[tex] 8y + 3 + 5y + 6 = 61 [/tex]

Combine like terms

[tex] 8y + 5y + 3 + 6 = 61 [/tex]

[tex] 13y + 9 = 61 [/tex]

Subtract 9 from both sides

[tex] 13y + 9 - 9 = 61 - 9 [/tex]

[tex] 13y = 52 [/tex]

Divide both sides by 13

[tex] \frac{13y}{13} = \frac{52}{13} [/tex]

[tex] y = 4 [/tex]

b. RS = 8y + 3

Plug in the value of y

RS = 8(4) + 3 = 32 + 3

RS = 35

ST = 5y + 6

Plug in the value of y

ST = 5(4) + 6 = 20 + 6

ST = 26

Answer:

Guy above me is Wrong its 14

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Answer:

Variable

x which stands for no. of toppings on pizza

equation

7 + 1.5x = 11.50

solution

the no. of toppings = 3

Step-by-step explanation:

Let the number of topping be x.

Cost of 1 topping = $1.50

Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x

Cost of cheese pizza = $7.00

Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping

Total cost for cheese pizza for x topping = 7 + 1.5x

Given that The total charge for Megan's pizza was $11.50

thus,

7 + 1.5x = 11.50

1.5x = 11.50 - 7

1.5x = 4.5

x = 4.5/1.5 = 3

Thus, there were three toppings

______________________________________

Variable

x which stands for no. of toppings on pizza

equation

7 + 1.5x = 11.50

solution

the no. of toppings = 3

The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square. The correct options are C, D, E, and F.

Quadrilaterals are polygons with four sides, four vertices, and four angles.

The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square.

The opposite sides and opposite angles are equal in a parallelogram.

All sides are equal and opposite angles are equal in a Rhombus.

Opposite sides are parallel and equal, and all angles measure 90 degrees in a Rectangle.

All sides and angles are equal in a square.

Therefore, The correct options are C, D, E, and F.

To know more about Quadrilaterals

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Answer:

Government A earns 54 675 US$, Government B earns 230 020 US$

Step-by-step explanation:

Answer:

S= -3

Step-by-step explanation:

3s-12=-21

3s= -21+12

3s= -9

s= -9/3

s= -3

Answer:

s = -3

Step-by-step explanation:

[tex]3s - 12 = - 21[/tex]

Collect like terms

[tex]3s = - 21 + 12[/tex]

Add the numbers :

[tex] - 21 + 12 = - 9 \\ \\ 3s = - 9[/tex]

Divide both sides of the equation by 3

[tex] \frac{3s}{3} = \frac{ - 9}{3} [/tex]

Simplify

[tex]s = - 3[/tex]

Answer:

  (x, y) = (0, 3)

Step-by-step explanation:

(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.

Answer:

3 degrees in 1 hour

Step-by-step explanation:

.75 degrees

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

1/4 hours

Multiply the top and bottom by 4

.75 degrees *4

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

1/4 hours*4

3 degrees

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

1 hour

(No estoy seguro si este es el valor posicional más alto, pero estoy casi seguro). Cuando redondea estos números, obtiene 800 y 6,000. el producto de estos dos números es 4800000. ¡Espero que esto ayude! salud.

Answer:

None of the options

Step-by-step explanation:

Given

Trapezoids: ABCD and A'B'C'D'

Required

Select type of transformation

Notice that width and length of ABCD are larger than that of A'B'C'D'

This means that the transformation applied on ABCD shrinks it size to A'B'C'D'

From the list of given option'

None of the 3 options describes this type of transformation.

The applied transformation is Dilation because it affects the size of ABCD

Hence;

None of the options is correct

Answer:

The answer is Reflection

Step-by-step explanation:

Answer:

  7k

Step-by-step explanation:

  −k−(−8k) = -k +8k = 7k

Answer:

the answer is this because x=39/37,6/5

Answer:

ok lol

Step-by-step explanation:

Answer:

Is it just me or after this did you just put the 2nd answer for every question after this and failing every test I have taken

Step-by-step explanation:

Answer:

y=-[tex]\frac{4k-11}{7}[/tex]

k=-[tex]\frac{7y}{4}[/tex]+[tex]\frac{11}{4}[/tex]

Answer:

the answer of this question is

the coffiecent is p

Answer:

$4,160,000

Step-by-step explanation:

First, find the length of the new road in km using Pythagorean Theorem.

According to Pythagorean Theorem:

c² = a² + b²,

Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.

Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

c² = 24² + 10²

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Lenght of the new road = 26 km

If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000

The cost of  building the new road is $4,160,000.

here we determine the length by using the Pythagorean Theorem.

So,

[tex]c^2 = a^2 + b^2[/tex]

Here

c is the longest leg

And, a and b are the 2 other legs of the ∆.

Now

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

So,

[tex]c^2 = 24^2 + 10^2[/tex]

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Now the cost should be

= 160,000(26)

= $4,160,000

learn more about cost here: https://brainly.com/question/18313009

Answer:

The positive and negative whole numbers are the Integers. Note that Natural numbers are a proper subset of the Integers which, in turn, is a proper subset of the Rationals. 45,368 is Natural, Whole, Integer, AND Rational.

Step-by-step explanation:

Answer:

(-oo, 1) U (1, 3) U (3, oo)

Step-by-step explanation:

We have a line with two arrowheads. The arrow heads show us that the numbers in the set continue forever in the negative direction past -5 and in the positive direction past 5. In this case, the set consists of all real numbers except 1 and 3 since they have open circles.

That means the set is from negative infinity to 1, from 1 to 3, from 3 to positive infinity, but leaving out 1 and 3.

Remember that a regular parentheses symbols, ( and ), do not include the number near them and are used for open circles.

Square brackets, [ and ], do include the number near them and are used for closed circles.

Also, infinity and negative infinity are not numbers, so we always use regular parentheses when dealing with infinity or negative infinity.

We need the union of three sets:

from negative infinity to 1, from 1 to 3, from 3 to positive infinity

Answer: (-oo, 1) U (1, 3) U (3, oo)

Answer:

100

Step-by-step explanation:

n(u)=120  total people in survey

n(c)=97     people carrying cell phone

n(t)=12     people carrying tablet

n(c∩t)=9  people carrying both tablet and cell phone

n(c∪t)=?   people carrying cell phone or tablet

now,

n(c∪t)= n(c)+n(t) - n(c∩t)

         = 97+12-9

          =109-9

          =100

there fore the number of people carrying cell phone or tablet = 100

This is all i have............................

Answer:

it a d) option i.e d) AAS test

Answer:

thanks

Step-by-step explanation:

:) hahahahahah

Answer:

Sorry didnt realize it didnt post

2.) 1.16 x 10^-1

4.) 9.006 x 10^-9

6.) 3.68 x 10^3

8.) 6.92810457 × 10^-3

Step-by-step explanation:

Answer:

  x = -2

Step-by-step explanation:

Add 0.75x to both sides of the equation.

  -0.75x -2 = 0.25x . . . . . given

  -0.75x +0.75x -2 = 0.25x +0.75x

  -2 = 1.00x . . . . simplify

  x = -2

Answer:

y = x/w

Step-by-step explanation:

1) We have to isolate y

2) An easy way to do this is to switch the places of y and w since we are just solving for y

3) Therefore, the answer is y = x/w

Hope this helps!

Answer:

881465966

Step-by-step explanation:

Answer:

x=28.7

Step-by-step explanation:

I just answered the question.

Answer:

27

Step-by-step explanation:

9 + 9 + 9 = 27

I hope this helps :)

Answer:

trish has 27 because 9 times 3=27 love yall

Step-by-step explanation: