The smaller triangle is dilated to create the larger triangle. The center
of dilation is plotted, but not labeled.

Answer:

$2.08 per battery

Step-by-step explanation:

Answer:

Step-by-step explanation:

interior angle =(n-2)180

=(4-2)*180

=360

360=164+71+24+x

360=260+x

x=360-260

x=100

Answer:

Step-by-step explanation:

Since angles in quadrilateral (4-sided shape) add up to 360 degrees

therefore,

360 = 164 + 71 + 25 + x

360 = 260 + x

subtract 260 from both sides

360-260 = 260-260 + x

100 = x

Answer:

The length of QR is 29.9 cm

Step-by-step explanation:

Let us revise the sine and cosine rules

In triangle ABC:

[tex]\frac{AB}{sin(C)}=\frac{BC}{sin(A)}=\frac{AC}{sin(B)}[/tex] ⇒ sine rule

(AC)² = (AB)² + (BC)² - 2(AB)(BC)cos(∠B) ⇒ cosine rule

Let us use these rules to solve the question

In Δ PQS

∵ [tex]\frac{PS}{sin(Q)}=\frac{QS}{sin(P)}[/tex]

∵ PS = 11.7 cm

∵ m∠P = 95°, m∠Q = 28°

→ Substitute them in the rule above

∴ [tex]\frac{11.7}{sin(28)}=\frac{QS}{sin(95)}[/tex]

→ By using cross multiplication

∴ QS × sin(28) = 11.7 × sin(95)

→ Divide both sides by sin(28) to find QS

∴ QS = 24.82680292 cm

Now let us use the cosine rule to find QR

In Δ QSR

∵ (QR)² = (QS)² + (RS)² - 2(QS)(RS)cos(∠QSR)

∵ RS = 10.2 cm

∵ m∠QSR = 110°

→ Substitute these values in the rule above

∴ (QR)² = (24.82680292)² + (10.2)² - 2(24.82680292)(10.2)cos(110)

∴ (QR)² = 893.631984

→ Take √  for both sides

∴ QR = 29.89367799

→ Round it to 3 significant figures

∴ QR = 29.9 cm

The probability that you will first choose a red marble followed by a green marble is 20%.

Given that a bag contains 1 blue, 2 green, and 2 red marbles, and you choose a marble with one hand and then a second marble with the other hand, to determine what is the probability that you will first choose a red marble followed by to green marble the following calculation must be made:

Therefore, the probability that you will first choose a red marble followed by a green marble is 20%.

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The probability of choosing a red marble is 2/5 while the probability of choosing a green marble after a red marble is 1/2

Data;

To solve this problem, we have to do probability without replacement.

The total number of marbles in the bag is

[tex]1 + 2 + 2 = 5[/tex]

The probability of choosing a red marble is

Number of read marbles = 2

probability of choosing a red marble is

[tex]P = \frac{2}{5}[/tex]

The probability of choosing a green marble after a red marble is

[tex]P = \frac{2}{4} =\frac{1}{2}[/tex]

The probability of choosing a red marble is 2/5 while the probability of choosing a green marble after a red marble is 1/2

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Adding the score of each round, Connor's current score is of -11 points.

To find the sum of two negative numbers, we keep the signal and add numbers.

For each round, Connor's scores are given as follows:

The combined score is the sum of each score, hence:

C = -5 + (-6) = -5 - 6 = -(5 + 6) = -11.

Connor's current score is of -11 points.

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Answer: 5 inches

Step-by-step explanation:

The volume of a cylinder is equal to pi*radius^2*height.

We can replace the height with 12 inches and the volume with 942 cubic inches.

Therefore, 942 in^3 = pi*radius^2*12 inches

We can divide both sides by 12:

pi*radius^2 = 78.5 inches^2

We can divide both sides by pi:

Radius^2 = About 24.99 inches^2

We can square both sides:

Radius approximately equals 5 inches.

Answer:

3/8 = 0

4/9= 0

Step-by-step explanation:

The quotient is 0 because the numerator is less than the denominator.

Answer:

27/32 is the answer

Step-by-step explanation:

Did the math, did the recipicol of 4/9 then multiplied.

Answer:

1200000000000

Step-by-step explanation:

multiply them together

brainliest appreciated

Answer:

30 km

Step-by-step explanation:

because 5km x 6hrs = 30 km sorry if i'm wrong that's just how my brain works.

Answer:

30

Step-by-step explanation:

5x6=30

it says 5 per hour so 5x6

a) Probability of getting a medium shirt for the player ≈ 0.0385

b) Probability of getting a medium shirt for the player's sister ≈ 0.0385

c) Probability of getting a medium shirt for both the player and his sister ≈ 0.00148225

d) Probability of getting either a medium, large, or extra-large shirt ≈ 0.0385.

Here, we have,

To find the probability of each event, we first need to determine the total number of shirts in the box and the number of shirts that satisfy each event.

a) Probability of getting a medium shirt for the player:

Total number of medium shirts = 6

Number of medium shirts needed for the player = 1

Probability = (Number of medium shirts needed) / (Total number of shirts) = 1 / (6 + 10 + 10) = 1 / 26 ≈ 0.0385

b) Probability of getting a medium shirt for the player's sister:

Total number of medium shirts = 6

Number of medium shirts needed for the player's sister = 1

Probability = (Number of medium shirts needed) / (Total number of shirts) = 1 / (6 + 10 + 10) = 1 / 26 ≈ 0.0385

c) Probability of getting a medium shirt for both the player and his sister:

Since the two events are independent (one person getting a medium shirt does not affect the other's chance of getting a medium shirt), we can multiply the probabilities of each event:

Probability = Probability of player getting a medium shirt * Probability of player's sister getting a medium shirt ≈ 0.0385 * 0.0385 ≈ 0.00148225

d) Probability of getting either a medium, large, or extra-large shirt:

Total number of medium, large, and extra-large shirts = 6 + 10 + 10 = 26

Number of shirts needed = 1 (for the player or his sister)

Probability = (Number of shirts needed) / (Total number of shirts) = 1 / 26 ≈ 0.0385

To summarize:

a) Probability of getting a medium shirt for the player ≈ 0.0385

b) Probability of getting a medium shirt for the player's sister ≈ 0.0385

c) Probability of getting a medium shirt for both the player and his sister ≈ 0.00148225

d) Probability of getting either a medium, large, or extra-large shirt ≈ 0.0385.

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==================================================

Explanation:

Add -3 to each term to get the next term. This is the same as subtracting 3 from each term. In this case, the common difference is d = -3.

The first term is a = 20

---------

The nth term formula for the arithmetic sequence is

a(n) = a+d(n-1)

a(n) = 20+(-3)(n-1)

a(n) = 20-3n+3

a(n) = -3n+23

If we plug in n = 1, we would get a(n) = 20. Plug in n = 2 to get a(n) = 17. And so on. This helps confirm we have the correct nth term formula.

Answer:

y=x+1

Step-by-step explanation:

The slope of the equation is 1, you can try the rise over run method or picking 2 points and subtracting them for example 2,3 and 3,4

2,3-3-4=1,1. The y-intercept is 1 because that is the point where the line crosses the y axis.

Answer:

Slope intercept form:

y = mx + b

Where 'y' is the independent variable and 'x' is the dependent variable.

'm' represents the slope(rise/run), and 'b' represents the y-intercept(where the line meets the y-axis).

If we look at this graph, we can see the line meets the y-axis at 1. So 1, will be our y - intercept.

We can also see, that from the point 1, it rises 1 and goes over 1. So 1, will be our slope as well.

To double check this, we select two fixed points on this graph and subtract the y-coordinates from each other and divide the result of that by the x-coordinates subtracted from each other.

y2(second y-coordinate) - y1(first y-coordinate)

_____________________________________

x2(second x-coordinate) - x1(first x-coordinate)

We pick the two points to be, (1,2) and (2,3).

 3 - 2              1

______ = _______, which is equal to 1, so 1 is the slope.

 2 - 1               1

Now we insert these values into our slope intercept form equation:-

y = mx + b

y = 1x + 1 or y = x + 1.

Where 1 is the slope, and the y-intercept is 1.

Answer:

y = 2x + 8

Step-by-step explanation:

the equation of a line in slope-intercept form is.

y = mx+b

where m is the slope and b the y-intercept

to calculate m use the gradient formula

m = (y2−y1 ) / (x2−x1)

let (x1,y1)=(-6,-4) and (x2,y2)=(-4,0)

m = (0 - (-4)) / (-4 - (-6) = 2

y = 2x+b←is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using (-6, -4) then

-4 = -12+b⇒b=8

y = 2x + 8←is the equation of line

Answer:

It's Arrives

Step-by-step explanation:

Check the picture below.

Answer:

Step-by-step explanation:

We have similar triangles:

Find segment BC using similarity and ratios:

Find EC using Pythagorean:

Correct choice is C

Answer:

2b) KOM = 143°

c) as the value of a straight line is 180°, and the angle LOK is 37°, subtract 180° with 37° and you will get the value for KOM.

Step-by-step explanation:

2b) subtract 180° with 37°

c) it is just using logical and mathematical sense from the question 2b

Given :

Population of country in 2006 , P = 300 million.

Consumption of fruit juice in 2006 by while population, C = 1.85 billion.

To Find :

The average number of gallons of fruit juice consumed per person in the country in​ 2006.

Solution :

We know, 1 billion = 1000 million.

C = 1.85 billion = 1850 million.

Now, average umber of gallons of fruit juice consumed per person in the country in​ 2006 is :

[tex]c =\dfrac{C}{P}\\\\c=\dfrac{1850}{300}\ gallons/person\\\\c=6.17 \ gallons/person[/tex]

Hence, this is the required solution.

Answer:

a , b

Step-by-step explanation:

ans this are the variables

Answer:

✓50 km

Step-by-step explanation:

Here, Area of parallelogram = base x height

so, at least two data should be given,

hence, let us consider base = height in this case.

Here it becomes,

Area of parallelogram = base²

50 km² = base²

Now, providing square root on both sides,

we get,

✓50 km = base

Answer:

3.4 kilometers on both days

Step-by-step explanation:

[tex]1.45+0.5=1.95[/tex]

[tex]1.45+1.95=3.4[/tex]

Answer:

is one

Step-by-step explanation:

did it on test so pog got it right

Answer:

2 for simplify part

Step-by-step explanation:

on edge

The amount of text messages sent by teenagers in the United States in 2015 is about 1.98 x [tex]10^{10}[/tex]

Scientific notation is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

2.2 x 10^7 + 9 x 10^2 = 1.98 x 10^10

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The solution is, $210 does he have to spend after paying his bills.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

Drake’s monthly outlay include a $70 phone bill and a $120 car assuming he makes $400 a month,

i.e. we get,

Drake’s monthly outlay include a $70 phone bill and a $120 car.

so, total spend = $ 120 + 70

                         = $190

now, we have to find how much does he have to spend after paying his bills.

so, we have to subtract 190 from 400

i.e. 400 - 190

=210

Hence, $210 does he have to spend after paying his bills.

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Answer:20

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Answer:

Dos veces más. Ejemplo: 4 es el doble de 2

Step-by-step explanation:

Answer:

81 is a perfect square

18 isn't a perfect square

50 isn't a perfect square

32 isn't a perfect square

Step-by-step explanation:

Numbers whose square roots are whole numbers, or more accurately positive integers are called perfect root

Example 7×7=49

Answer:

-2

Step-by-step explanation:

-5  -4  -3  -2  -1  0  1  2 3  4  5

Answer:

the answer is: 70

Step-by-step explanation:

[tex]s \: = \: \frac{ah}{2} [/tex]

[tex]s \: = \: \frac{70 \: \times \: 20}{2} = \: 70[/tex]