determine if the polygons are similar. If so, write a similarity statement and find the scale factor.

Answer:

5

Step-by-step explanation:

The consecutive primes starting from 2 are

2, 3, 5, 7, 11

Summing gives 2 + 3 + 5 + 7 + 11 = 28

and 28 is divisible by 7

Thus the required number of primes is 5

The fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7 is 5.

To determine what is the fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7, the following calculation must be performed:

Therefore, the fewest number of consecutive primes, starting with 2, that when summed produces a number divisible by 7 is 5.

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Answer: B. 6

Step-by-step explanation:

Let x be the [certain number]

Rephrase the expression

13 less than fourteen times a certain number is twenty-nine more than 7 times that number

14x-13=7x+29

Calculate

Given

14x-13=7x+29

Add 13 on both sides

14x-13+13=7x+29+13

14x=7x+42

Subtract 7x on both sides

14x-7x=7x+42-7x

7x=42

Divide 7 on both sides

7x/7=42/7

x=6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

×=3 y=-1

Step-by-step explanation:

I hope this helps

which method you want cross multiplication method or elimination method of substitution method or general method

Answer:

S is also 13

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The incenter is the point where all of the angle bisectors meet in the triangle

Using that definition, since point S is the incenter, we know segments RS and SQ are congruent.

1. We can use the Pythagorean Theorem to solve for segment RS first.

a^2+b^2=c^2      or           MR^2+RS^2=MS^2

12^2+b^2=13^2

144+b^2=169

b^2=169-144

b^2=25

b=5                    or                  RS=5

Since segment RS is congruent to segment SQ, SQ=5

Answer:

4 weeks

Step-by-step explanation:

75-5*x=55

x=4 weeks

Answer:

2

Step-by-step explanation:

subtract like this: 11-9=2

Answer:

x = 2

Step-by-step explanation:

11 = x + 9

11 - 9 = x + 9 - 9

2 = x

x = 2

Answer:

1/2 kg

Step-by-step explanation:

Formula:

[tex]F =ma[/tex]

Force = mass x acceleration

F = 5 | a = 10  |m = ?

5 = 10m

m = 0.5 or 1/2

Answer:

x = 1

Step-by-step explanation:

( 6^2 + 1 ) 6^x = ( 36 + 1 ) x " multiply by "  6^x = 222

so 37 x 6^x = 222

divide by 37

6^x = 6^1

so

x = 1

^ this symbol is for the power

Answer:

Step-by-step explanation:

(-3/7)³ × (-3/7)⁴ = (-3/7)³⁺⁴ = (-3/7)⁷

Answer:

the answer to this question is (-3/7)^7

Answer:

80

Step-by-step explanation:

So I here's my thought process on this:

200 divided by 2 is 100

100 - 40% is 60, leaving 40 behind.

So double that and it would be:

200 - 40% is 120

200 - 120 = 80

80% is the answer.

Answer:

Step-by-step explanation:

[tex]\int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \neq \geq x^{2} \\ \leq[/tex]⇄⇅⇵⇔ω∈ФπΔ≅≡β·∛

Answer:

14%

Step-by-step explanation:

Percentages are out of 100, and 7/50 = 14/100.

Answer:

22cm²

Step-by-step explanation:

radius of smaller circle= 7/2=3.5cm

area of smaller circle=π×3.5=11cm²

area of bigger circle=π×10.5(radius is 7 plus 3.5)=33cm²

area of shaded area=33-11=22cm²

Answer:

a^4 - 2a^2b^2 + b^4

Step-by-step explanation:

Here, we want to expand the given expression

Mathematically, we have this as follows;

(a^2-b^2)^2

= (a^2(a^2 - b^2) -b^2(a^2-b^2)

a^4-a^2b^2 - a^2b^2 + b^4

= a^4 - 2a^2b^2 + b^4

Answer:

$142 ; 0.749 ; Normal ; 0.090938

Step-by-step explanation:

Mean and standard deviation :

The mean of the distribution x = $142, because the sample size is sufficiently large, the distribution will be approximately normal (central limit theorem).

Standard deviation of distribution : σ/ sqrt(n)

= 29 / sqrt(1500)

= 0.749

B.)

Shape of sampling distribution of X.

The shape of the sampling distribution will be approximately normal due to the large sample size used. This is according to the central limit theorem whereby distribution of sample converges to normal with increasing sample size. Mean ~ N(142, 0.749²)

C.)

P(X > 143)

Using the relation :

Z = (x - mean) / standard error

Z = 143 - 142) / 0.7489

Z = 1.335

P(Z > 1.335) :

Using the Z probability calculator :

P(Z > 1.335) = 0.090938

Answer:

19

Step-by-step explanation:

So if you want to find out what x is then you would try to find 95% of 20 which is 19. She made 19 of her free throws.

Answer:

if there is no equation given with the problem, then all you do is read the y coordinate value corresponding to 25 mins and 40 mins.

here f(25) looks yo be 7 and f(40) looks yo be 20.

Answer:

x=6 and y=20 just took a test

Step-by-step explanation:

Answer:

10

100

×

3250

=

$

325

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=120°

if you look, the arrows on the lines mean they’re parallel.

so

Answer:

A. 40/1

Step-by-step explanation:

A. 40/1

B. 1 X 40

C. 40 X 1

D. 1/40

Ratio of gas to oil = 40 : 1

40 : 1 = 40/1

40 : 1 can also be written as 40/1 or 40 to 1

Answer:

Number is 4536

Step-by-step explanation:

Assume;

Same number = a

Multiply of 7 = b

So,

a+a+a+b = 39

3a + b = 39

Use b = 7

3a + b = 39

3a + 7 = 39 (Not possible)

Use b = 14

3a + b = 39

3a + 14 = 39 (Not possible)

Use b = 21

3a + b = 39

3a + 21 = 39

a = 6

So,

Number is 6 x 6 x 6 x 21

Number is 4536

Answer:

680,000

Step-by-step explanation:

Population before growing rate: 400,000

Growing rate: 7%

Duration: 10 years

___

First, you will have to calculate how much does the population increase each year with the said rate, so you will have to multiply the rate by the population to determine that amount.

400,000 x 7/100 = 28,000

So the population increases by 28,000 each year, now you will have to multiply that amount by the amount of years to determine how much the amount of increase.

28,000 x 10 = 280,000

This means that the population has increased by 280,000 in these 10 years. Finally, you will have to add that number to the population amount to get the answer.

400,000 + 280,000 = 680,000

Answer:

640 metres

Step-by-step explanation:

Area of a rectangular field = 24000 square metres

Width of a rectangular field = 120 metre

Also,

Area of a rectangular field = Length × Breadth

24000 = Length × 120

Length = [tex]\frac{24000}{120}=200[/tex] metre

Length of wire required to fence the field = Perimeter of the rectangular field

= 2 (length + width)

= 2 (200 + 120)

= 2 (320)

= 640 metres

Answer:

687p +920 = -705.6

Step-by-step explanation:

Answer:

The answers should be

x^2 + 8x + 7

x(x + 8) +7

Step-by-step explanation:

(x + 7)(x + 1)

x(x) + x(1) + 7(x) + 7(1)

x^2 + x + 7x + 7

x^2 + 8x + 7

Answer:

C d

Step-by-step explanation:

Step-by-step explanation:

i believe the awnser is 5 holp this helps

Answer:

Number of bagels = 10

Number of donuts = 25

Step-by-step explanation:

Let Number of bagels = b

Number of donuts = d

As given,

Each donut cost $0.55 and each bagel cost $1.20

⇒ Cost of d donuts = $0.55d

   Cost of b bagels = $1.20b

Also given,

Jamian bought a total of 35 bagels and donuts

⇒ b + d = 35     ........(1)

Also,

He paid a total of  $25.75.

⇒ 1.20b + 0.55d = 25.75          .........(2)

Now,

Multiply equation (1) by 1.20 , we get

1.20( b + d = 35 )

⇒1.20b + 1.20d = 42               ..........(3)

Now,

Subtract equation (2) from equation (3), we get

1.20b + 1.20d  - ( 1.20b + 0.55d ) = 42 - 25.75

⇒1.20b + 1.20d  - 1.20b - 0.55d  = 16.25

⇒0.65d = 16.25

⇒d = [tex]\frac{16.25}{0.65}[/tex] = 25

⇒d = 25

Put the value of d in equation (1) , we get

b + d = 35

⇒b + 25 = 35

⇒b = 35 - 25 = 10

⇒b = 10

∴ we get

Number of bagels = b = 10

Number of donuts = d = 25