find the possible formula for the nth term of sequence 7 11 15 9​

Refer to the attached diagram for further a visual explanation. As per the given information, segments (AB) and (AD) are congruent. Moreover, segments (AC) and (AE) are also congreunt. One is also given that angles (<BAD) and (<EAC) are congruent. However, in order to prove the triangles (ABC) and (ADE) are congruent (using side-angle-side) congruence theorem, one needs to show that angles (<BAC) and (<DAE) are congruent. An easy way to do so is to write out angles (<BAC) and (<DAE) as the sum of two smaller angles:

<BAC = <BAD + <DAC

<DAE = <DAC + <EAC

Both angles share angle (DAC) in common, since angles (<EAC) and (BAD) are congruent, angles (<BAC) and (<DAE) must also be congruent.

Therefore triangles (ABC) and (ADE) are congruent by side-angle-side, thus sides (BC) and (DE) must also be congruent.

In summary:

AB = AD                                               Given

AC = AE                                               Given

<BAD = <EAC                                      Given

<DAC = <DAC                                     Reflexive

<BAC = <BAD + <DAC                       Parts-Whole Postulate

<DAE = <EAC + < DAC                       Parts-Whole Postulate

<BAC = <DAE                                      Transitivity

ABC = ADE                                          Side-Angle-Side

BC = DE                                               Corresponding parts of congruent triangles are congruent

Answer:

the answer is 2

Step-by-step explanation:

hope it helps

Answer:

2

Step-by-step explanation:

according to my calculator

Answer:

354,589 people.

Step-by-step explanation:

Each year the population is 105% times the previous year.

105% = 1.05.

so in 8 years population will be:

240000*(1.05)^8

= 354,589.

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

y = 2x² + 1 2x + 14

Move the constant  (14) to the left side

y - 14 = 2x² + 12x

Now factor out 'a' , the coefficient  of  x² term

y - 14= 2(x² + 6x)

Divide the coefficient  of 'x' by 2 ⇒ 6/2 = 3

Find the square of '3' and add it to x² + 6x   ⇒ x² + 6x + 9

Multiply the square of 3 and add it to y - 14; 9*2 = 18

y- 14  = 2(x² + 6x + 9)

y  - 14 + 18 = 2(x² + 6x + 9)

y + 4 = 2(x² + 6x +9)

y + 4 = 2(x + 3)²

y = 2(x + 3)² - 4

Vertex ( -3 , -4)

Here we just want to find the perimeter of the image below.

We will find that the correct option is D.

The perimeter will be equal to:

The perimeter of a square of side length of 13 ft, minus 5 ft (the diameter of the circle), plus half the perimeter of a circle of diameter 5ft.

Remember that for a square of side length L, the perimeter is:

P = 4×L

For a circle of diameter D, the perimeter is:

P = 3.14*D

Then the perimeter of the square of side length of 13ft is:

P = 4×13ft = 52ft

The perimeter of the half-circle of diameter 5ft will be:

P' = 3.14×5ft/2 = 7.85ft

Then, the perimeter of the whole figure is:

perimeter = 52ft - 5ft +  7.85ft = 54.85ft

Rounding to the nearest whole number, we get:

54.85ft ≈ 55ft

The correct option is D.

If you want to learn more, you can read:

https://brainly.com/question/24367392

Step-by-step explanation:

I dunno what your question ask,and I think maybe you want the formula?

Answer:

6n^2+3n+8

Step-by-step explanation:

simplify like terms. keep the exponent the same degree it started as

Answer:

Since you didn't list the statements, I'll just list some true statements.

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There are 17 students in this class.

Majority of students voted for a hamster.

Snake was the least voted for.

Answer:

pleas mark me has branlist

Answer:

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(10-1=9)(10-2=8)(10-3=7)(10-10=0)

9*8*7*0=0

Answer:

Step-by-step explanation:

Number of red = 12

Total number = 12 + 14 + 34 = 60

Relative frequency if red:

Total tokens

P(red)

Answer:

figure 1, 2 respectively

62.5 Answer

Answer:

56

Step-by-step explanation:

show your work

Answer:

y = 9

Step-by-step explanation:

if you want to find the value of y then

4y + 6y = 90 (it's right angle triangle)

10 y = 90

y = 90/10

y = 9

Answer:

y = 9

Step-by-step explanation:

6y + 4y = 90

10y = 90

y = 9

Both are supplementary angles.

[tex]\\ \rm{:}\twoheadrightarrow m<3+m<4=180[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 56+x=180[/tex]

[tex]\\ \rm{:}\twoheadrightarrow x=180-56[/tex]

[tex]\\ \rm{:}\twoheadrightarrow x=124[/tex]

Answer:

a+b=a

or, 3+b=3 (a=3)

or, b= 3-3

or, b=0

Answer:

m∠A = 65°

Step-by-step explanation:

Because ∠CBD is congruent to ∠DBE, we can set the degree values equal to each other.

So

CBD has x + 10, DBE has 60. So:

x + 10 = 60

Subtract 10 from both sides.

x = 50

Check:

50 + 10 = 60

60 = 60

m∠A = (x + 5)° = (60 + 5)° = 65°

The measure of m<A if angle CBD = angle DBE is 55°

The point where two lines meet is known as an angle.

We are given the following from the diagram:

m<CBD = x +10

m<DBE = 60degrees

Since  angle CBD = angle DBE, then:

x + 10 = 60

x = 60 - 10

x = 50degrees

Get the angle A.

From the diagram, angle A = (x+5)°

m<A = 50 + 5

m<A = 55°

Hence the measure of m<A is 55°

Learn more here: https://brainly.com/question/20113464

Answer: 81

Concept:

When a number is being squared, to being put to any power, it means the number multiplies itself by the amount of times indicated by the exponent.

For example, if 3 is to the 3rd power, then it would appear to be 3 × 3 × 3.

Solve:

Given

9²

Simplify exponents

=9 × 9

Simplify by multiplication

=[tex]\boxed{81}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

57

Step-by-step explanation:

4.5 × 2 = 8.10

8.10 x 5 = 40.50

2320 ÷ 40.50

Answer:

138.6 miles

Step-by-step explanation:

205.6 - 67 = 138.6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

I believe this is the expression:

[tex] \displaystyle \large \boxed{ - 8 {y}^{2} }[/tex]

Since we want to evaluate it when y = -2, simply substitute y = -2 in the expression.

[tex] \displaystyle \large{ - 8 {( - 2)}^{2} }[/tex]

Any negative number squared will result in positive, refer below:

[tex] \displaystyle \large{ {( - a)}^{2} = {a}^{2} } \\ \displaystyle \large{ {( - 2)}^{2} = {2}^{2} } \longrightarrow \boxed{4} \\ [/tex]

Hence,

[tex] \displaystyle \large{ - 8(4) = - 8 \times 4} \\ \displaystyle \large \boxed{ -32}[/tex]

Answer:

-32

Step-by-step explanation:

Replace the variable y with -2 in the expression giving -8(-2)^2

Then, square -2 giving us (positive) 4

Lastly, multiply -8 with 4 and get -32 as our answer

(Hopefully this helped you! Feel free to ask again if you need more help. Tell me if the solution is unclear to you)

Answer:

26

Step-by-step explanation:

DE+EF=DF

Subsitue thise x values for DE,  and DF

12+x=38

=26

Answer:

52 i think

Step-by-step explanation:

The question doesn't really say what to do, i say 52 because of the pattern

The required sum of the arithmetic progression is 441.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
45 + 46 + 47 . . . . . . 54
About sequence is an arithmetic sequence with,
First term a = 45
common difference d = 1
last term l = 54
Number of terms = 45 - 54 = 9

The required sum of the arithmetic progression can be given as,
s = n / 2 * ( 2a + (n - 1) d )
s = 9 / 2 * (2 * 45 + 8 * 1)
s = 9 / 2 * (98)
s = 9 *49
s = 441

Thus, the required sum of the arithmetic progression is 441.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2

Answer:

the answer is c because if you moved it 180 degrees and reflecting over the x-axis then it would move to the same box it was in from the beginning

Answer:

b

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

4z - 15 = 4z+11

Subtract 4z from each side

4z-15-4z = 4z+11-4z

-15 = 11

This is not a true statement so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

4z-15=4z+11  Subtract 4z from both sides.

-4z      -4z

-15=11             This statement is not true; therefore, there are no solutions.

Hope this helps you out! Have a wonderful day (｡･∀･)ﾉﾞ

Answer:

Its D

Step-by-step explanation:

i just guessed! but i think its D!<3