The first three terms of an arithmetic sequence are as follows.

52, 44, 36

Find the next two terms of this sequence.

Answer:

Step-by-step explanation:

1) Statements                         Reasons

ABCD is a trapezoid               Given

AD ║ BC                                  bases of trapezoid are parallel

∠AED = ∠CEB                          vertically opposite angles are equal

∠EBC = ∠ADE          alternate interior angles are equal and BD is transversal                

∠ECB = ∠EAD          alternate interior angles are equal and AC is transversal

ΔAED ~ ΔCEB            ∠ECB = ∠EAD & ∠AED = ∠BEC & ∠EBC = ∠ADE

                                all angles are same and their shape is same, so similar

2) hope you can write 2nd one as above two column proof

T is the mid point of QR

U is the mid point of QS

V is the mid point of RS

Definition: The segment of line joining the middle points of two sides of a triangle is called middle segment.

Inference: A middle segment of a triangle is parallel to the third side and its lengths is half the third side's.

so here TU ║ RV and TU = RV  

UV ║ TR and UV = TR

so TUVR becomes a parallelogram

∠TUV = ∠TRV -------->  condition 1

same goes with parallelogram TQUV

∠TQU = ∠UVT ----------> condition 2

same goes with parallelogram TUSV

∠UTV = ∠USV ------------> condition 3

from the above 3 conditions we can say

ΔQRS ~ ΔVUT

3) see the below figure for graph

in both triangles ∠B is common

AC and TS are parallel lines

BC  and BA are transversals

∠C ∠S are equal --> corresponding angles

∠A ∠T are equal ---> corresponding angles

so ΔABC & ΔTBS are similar

Answer:

E = √(SZ).

Step-by-step explanation:

S=E^2/Z

Multiply both sides by Z:

SZ = E^2

E = √(SZ)

Answer:

There are 90 inches in 2.5 yards.

Step-by-step explanation:

12 inches per foot and 3 feet per yard means 36 inches per yard.

[tex]12*3=36[/tex]

Now, just multiply 2.5 yards by 36 inches/yard.

[tex]2.5*36=90[/tex]

There are 90 inches in 2.5 yards.

hope you like my answer its 17

Answer:

k = -2

Step-by-step explanation:

Substitute 2k-3 for x and k+2 for 2

2x + y + 14 =0

2(2k-3) + (k + 2) + 14 = 0

4k - 6 + k + 2 + 14 = 0

4k + k - 6 + 2 + 14 = 0

5k + 10 = 0

5k + 10 - 10 = 0 - 10

5k = -10

[tex]\frac{5k}{5} = \frac{-10}{5}[/tex]

k = -2

Step-by-step explanation:

cupcake that doesn't hold the water.

Answer:     162.1875%. Based on the given conditions, formulate: 103.8 / 64 Convert decimal to fraction:dfrac 1038/10 64Div

Step-by-step explanation:

Answer: 500k

Step-by-step explanation:

Answer:

500K Step sis got 500k because she got stuck in the washer and couldnt get out

Step-by-step explanation:

Step sis got stuck

Answer:

15/1/5=15*5=75.

Step-by-step explanation:

Answer:

3 PERCENT

Step-by-step explanation:

I DID THE QUIZ

Answer:

Yeah sure, but I cant guarantee i will answer all the questions. What grade level?

Answer:17/3 or 5 and 2/3

Answer:

a) 0.3

Step-by-step explanation:

The probability of getting a red ball, the number of black balls and total balls are 0.3, 2 and 10 respectively.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

The probability of getting a black ball is 0.2.

The probability of getting a white ball is 0.5.

(a) As the bag contains only black, white and red balls, the probability of getting a red ball is,

1 - (0.2 + 0.5)

= 0.3

(a) The probability of getting white balls can be written as,

P (white ball) = Number of white balls ÷ Total number of balls

Substitute all the given values to get,

Total number of balls = 5 ÷ 0.5

                                   = 10

Similarly, for black balls it can be written that,

P (black ball) = Number of black balls ÷ Total number of balls

Substitute all the given values to get,

Number of black balls = 10 × 0.2

                                    = 2

(c) When number of red balls are three then,

P (red ball) = Number of red balls ÷ Total number of balls

Substitute all the given values to get,

Total number of balls = 3 ÷ 0.3

                                    = 10.        

Hence, the answers for all the parts are 0.3, 2 and 10 respectively.

To know more about probability click on,

https://brainly.com/question/11234923

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Answer:

  a32 = -80

Step-by-step explanation:

The generic term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.

  -221 = a1 +d(79 -1)

  -14 = a1 +d(10 -1)

Subtracting the second equation from the first, we have ...

  -221 -(-14) = (a1 +78d) -(a1 +9d)

  -207 = 69d . . . . . simplify

  -3 = d . . . . . . . . . . divide by the coefficient of d

Then the value of a1 can be found as ...

  -14 = a1 +(-3)(9) . . . . substitute for d in the second equation

  13 = a1 . . . . . . . . . . . add 27

__

Using our formula to find the 32nd term, we have ...

  an = 13 -3(n -1)

  a32 = 13 -3(32 -1)

  a32 = -80

The 32nd term of the sequence is -80.

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Domain ~

Range ~

Answer:

(-6,7)

Step-by-step explanation:

The rotation is 180 degrees, so its means that the direction (clockwise vs counterclockwise) doesn't actually matter. With a rotation of 180 degrees, the preimage is switched to the opposite side of both the y and x-axis. This means that the rule for rotation around 180 is (-h,-k). Therefore, the answer will have the opposite signs. Thus. the image of (6,-7) is (-6,7).

Answer:

(-6, 7)

Step-by-step explanation:

the original and new points are both six units above/below the x-axis and 7 units to the right/left of the y-axis

Answer:

1) y=8/3=2 2/3   2) x=4    3) x+10

Step-by-step explanation:

1) 10+5-7=3y

Calculate the sum or difference.

8=3y

Swap the sides of the equation.

3y=8

Divide both sides by 3.

y=8/3=2 2/3

2) -10x+5x+5=-15

Collect like terms.

-5x+5=-15

Move the constant to the right-hand side and change the sign.

-5x=-15-5

Calculate the difference.

-5x=-20

Divide both sides by -5.

x=4

3) 3x+2x-4x+10

Collect like terms.

(3+2-4)x+10

Calculate the sum or difference.

1x+10

When the term has a coefficient of 1, it doesn't have to be written.

x+10

Hope this helps :)

Answer:

that isnt the full question like what is the area of the pan and stuff

Step-by-step explanation:

Answer:

An average-sized blue whale will eat 2,000-9,000 pounds (900-4100 kg) of plankton each day during the summer feeding season in cold, arctic waters ( about 120 days).

Step-by-step explanation:

Answer:

square: 16x-8

triangle: 3x+9

Step-by-step explanation:

Squares have 4 equal sides. Equilateral triangles have 3 equal sides.

Multiply the length of one side by the total number of sides for each shape to find the perimeter. Then combine like terms.

Answer:

square: 16x-8

triangle: 3x+9

Step-by-step explanation:

Answer:

Slope = -¾

Step-by-step explanation:

Given the points, (-20,-4) and (-12, -10), use the following formula to solve for the slope:

m = (y₂ - y₁)/(x₂ - x₁)

Let (x₁, y₁) = (-20,-4)

     (x₂, y₂) =  (-12, -10)

Substitute these values into the slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

[tex]m = \frac{-10 - (-4)}{-12 - (-20)}[/tex]

[tex]m = \frac{-10 + 4}{-12 + 20}[/tex]

[tex]m = \frac{-6}{8}[/tex]

Simplify the fraction into its lowest terms by dividing the numerator and the denominator by 2:

[tex]m = \frac{-6}{8}[/tex] ÷  [tex]\frac{2}{2}[/tex]

m = -¾

Therefore, the slope of the line is -¾

Answer:

117 megabytes

Step-by-step explanation:

Por regla de tres:

72 mb son a 8 mins

D mb son a 13 minutos

D = 13*72/8

D = 117 mb

Answer:

29/3

Step-by-step explanation:

hopes this helps :)

Answer:

True

Step-by-step explanation:

Actually, I'm pretty sure it can also be a reflection! :) Have a good day!!!

Answer:

y = 2.2x - 11

Step-by-step explanation:

Slope: 2.2

y-intercept: 0 - (2.2)(5) = - 11

Answer:

13.989 rounded to nearest tenth is 14.0.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

round