Find a formula for the nth term
of the arithmetic sequence.
First term 2.5
Common difference -0.2
An = [? ]n +

Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.

Vertical angles prove that Angle 3 is congruent to angle 6.

The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

Answer:

Purchase rate of the house is $480000.

Step-by-step explanation:

Let the purchase rate of the house = $p

Current value of the house = $648000

If the current rate of the house has increased by 35% of the purchase rate,

Current rate = Purchase rate +  35% of the purchase rate

648000 = p + (35% of p)

648000 = p + [tex]p\times \frac{35}{100}[/tex]

648000 = p + 0.35p

648000 = (1.35)p

p = [tex]\frac{648000}{1.35}[/tex]

p = $480000

Therefore, purchase rate of the house is $480000.

Answer:

b

Step-by-step explanation:

because i said so and because i am tired and tired and tired

Answer:

[tex] - 2 \sqrt{2} [/tex]

Step-by-step explanation:

Subtract 5√2 from 3√2.

[tex] - 2 \sqrt{2} [/tex]

Hence, the answer is Option A. in decimal form the answer will be −2.82842712.

Answer:

C≈37.7in

Step-by-step explanation:

Answer:

Hello!

Area: 113.04

Circumference: 37.68

Hope this helps

Answer:

s = 24.05

Step-by-step explanation:

Given

v² = u² + 2gs ← substitute v = 25, u = 12, g = 10

25² = 12² + (2 × 10 × s)

625 = 144 + 20s ( subtract 144 from both sides )

481 = 20s ( divide both sides by 20 )

24.05 = s

Answer:

73.5

Step-by-step explanation:

Part/whole=percent/100

?/500=2.1%/100

500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.

So, 10.5 times 7 is 73.5

Answer:

La variación de temperatura en el día es 9°C.

Step-by-step explanation:

Cuando tenemos dos valores, uno máximo M y uno mínimo m, la variación entre esos valores es la diferencia (la resta) entre el valor máximo M y el valor mínimo m

variación = M - m

En este caso sabemos que la temperatura mínima es -2°C

La temperatura máxima es 7°C

La variación sera entonces:

Variación = 7°C - (-2°C)

Recordar la regla de los signos:

(-)*(-) = (+)

Entonces:

Variación = 7°C - (-2°C) = 7°C + 2°C = 9°C

La variación de temperatura en el día es 9°C.

Step-by-step explanation:

Mam nice drawing at your backside Mam nice drawing at your backside

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

Answer:

2 and 3

Step-by-step explanation:

30 is 20% of 150

I hope this helps

Have a great day

Answer:

2/8 of the fifth graders are not in band

Step-by-step explanation:

To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).

Answer:

6) -10

7) b

hope this helps :)

Answer:

10 feet

Step-by-step explanation:

a^2+b^2=c^2

15^2+B^2=365

225+b^2=365

b^2=100

b=10

Answer:

c

Step-by-step explanation:

Answer: A- 12.5 million

Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.

Answer:

40 million

Step-by-step explanation:

125% of x

125/100 * x = 1.25x

x+ 10 = 1.25x

(subtract x from both sides)

10 = 1.25x - x

10 = 0.25x

(divide both sides by 0.25)

10/0.25 = x

x= 40

Answer:

False

Step-by-step explanation:

9514 1404 393

Answer:

  linear

Step-by-step explanation:

We notice that adjacent x-values all differ by 1.

Similarly, we notice that all y-values differ by 0.5. When differences are constant, the function is linear.

Answer:

Step-by-step explanation:

-1/2(10 + 1/4)​

10+1/4 = 41/4

Since the denominator is 4, you multiply 10 by 4 to make it equivalent since 10 is a whole number and 1/4 is a fraction

-1/2(10.25)= -41/8 or 5.125

Answer:

1 ladrillo cuesta 1 dólar.    1 brick costs 1 dollars.

1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars

1 kg de arena cuesta $ 16: 1 kg sand costs $ 16

Step-by-step explanation:

Spanish

Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada

20b + 5s + 10c = $ 130 --- ecuación 1

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

Poniendo la ecuación 2 en la ecuación 3

1s = 4 (3b) + 4b

1s = 16b ---------- ecuación 4

20b + 5s + 10 (3b) = $ 130

50b + 5s = 130 --- ecuación 5

Poniendo la ecuación 4 en la ecuación 5

50 b + 5 (16b) = 130

50 b + 80b = 130

130 b = 130

b = 130/130 = $ 1 ------- ecuación a

1 ladrillo cuesta 1 dólar.

Poner el valor de costo de 1 ladrillo en estas ecuaciones

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

1c = 3 (1) = $ 3 -------- ecuación b

1 kg de cemento cuesta 3 dólares

1s = 4c + 4b

1 s = 4 (3) + 4 (1)

1 s = 12 + 4

1s = $ 16 ------ ecuación c

1 kg de arena cuesta $ 16

Poner valores de la ecuación a, b, c en la ecuación 1

20b + 5s + 10c = $ 130

20 (1) + 5 (16) + 10 (3) = 130

20 + 80 + 30 = 130

130 = 130 ------------ por lo tanto probado

English

Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition

20b+ 5s+ 10c= $130--- equation 1

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

Putting equation 2 in equation 3

1s= 4(3b) + 4b

1s= 16b---------- equation 4

20b+ 5s+ 10(3b)= $130

50b + 5s= 130--- equation 5

Putting equation 4 in equation 5

50 b + 5 (16b) = 130

50 b+ 80b= 130

130 b= 130

b= 130/130= $1------- equation a

1 brick costs 1 dollars.

Putting the cost value of 1 brick in these equations

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

1c= 3(1)= $3-------- equation b

1 kg cement costs 3 dollars

1s= 4c+4b

1s= 4(3) + 4(1)

1s= 12+4

1s= $16 ------ equation c

1 kg sand costs $ 16

Putting values from equation a, b, c in equation 1

20b+ 5s+ 10c= $130

20 (1) + 5 (16) + 10 (3)= 130

20 + 80 + 30 = 130

130 = 130   ------------ hence proved

Answer:

yur

Step-by-step explanation:

Answer:

yeah it's a decimal so yes

Answer:

5 and 7

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

the formula for a triangle is b (base) x h (height), then ÷2. there are two tringles together to make this shape, their bases are 10 (5+5) and their heights are 7. so if you do the math for the 2 triangles then add them together you get the area for the entire shape.

Answer:

i think it's 15%

Step-by-step explanation:

Answer:

the answer is A. y=2sin(1/2x)+1

Step-by-step explanation:

I input all four functions on desmos (a graphing calculator), and saw that A. y=2sin(1/2x)+1 was similar to the function shown in the graph

The function that matches the graph is y= 2 sin(1/2x) +1.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

let y = A sin ([tex]\omega[/tex]x + Ф)+  k

T= 4π, w= 2π/T = 1/2

Now, midline= 1/2( max + min)

=1/2(3-1)= 2/2

k=1

and, A= 3-1 = 2

So, y= 2 sin(1/2x  + Ф) +1

as, Ф=0

So, y= 2 sin(1/2x) +1

Learn more about graph here:

https://brainly.com/question/16608196

#SPJ5

Answer:

21

Step-by-step explanation:

: P

Answer:

21

Step-by-step explanation:

umm that's kindergarten math-