the two triangles are similar. what is the value of x? (will send a picture of the triangles for more details)

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

Sam has the more convincing victory with a greater Zscore value

Step-by-step explanation:

Given that :

Year 1:

Mean finish time (m) = 185.64

Standard deviation (s) = 0.314

Sam's time (x1) = 185.29

Year 2:

Mean finish time (m) = 110.3

Standard deviation (s) = 0.129

Rita's time (x1) = 110.02

Zscore = (x - mean) / standard deviation

Sam's Zscore :

(185.29 - 185.64) / 0.314

= - 0.35 / 0.314

= −1.114649

= - 1.115

Rita's Zscore :

(110.02 - 110.3) / 0.129

= - 0.28 / 0.129

= −2.170542

= - 2.171

Sam has the more convincing victory with a greater Zscore value

Answer:

u

Step-by-step explanation:

Answer:

-93

Step-by-step explanation:

Substitute by - 3 instead of X

Equations:

1. (30)(5)= 150

2. 30 + 30 + 30 + 30 + 30 = 150

I round:

30 dollars divided by 5 rounds = 6 dollars per round.

The total amount spent by the two boys is $300.

An expression in mathematics is a combination of terms both constant and variable. For example, we can write the expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is that Tyler and Gabe went to the arcade and played the same two games. Tyler played five rounds of each game for 30$.

We can write the total amount spent by the two boys as -

total amount = 2 x cost of each game x total number of games played

total amount = 2 x 30 x 5

total amount = 10 x 30

total amount = 300

Therefore, the total amount spent by the two boys is $300.

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Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

Jaime foxcgvxccvyyvytctvtvffddrgfgqvrctcrgctgtgtgygyg goku is the site

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

About .19 cents for the unit rate

Step-by-step explanation:

Answer:

In the billions.

Step-by-step explanation:

000 is hundreds

210 is thousands

543 is millions

876 is billions

9 is trillions

Answer:

in 9,876,543,210,000 the place value of the digit 6 is Billions.

Answer:

18

Step-by-step explanation:

pls mark brainliest

idk if this is a joke

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

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Given parameters:

First term of the sequence = x

Second term = x + 2

Third term =  x + 4

Sum of the first three terms  = 72

Unknown:

First term of the sequence = ?

Solution:

The sum of the first three terms is unknown;

            (x) + (x + 2) + (x + 4) = 72

Solve for x;

          x + x + 2 + x + 4  = 72

          3x + 6  = 72

            3x = 72 - 6

              3x = 66

                x = \(\frac{66}{3}\)   = 22

The first term of the sequence is 22

Answer:$35

Step-by-step explanation:well each cookie cost $3.50 so for $14 there are only 4 cookies so for ten it will cost $35 cause 14+14=28 and you need to 2 more cookies so you will add 2 more which is $7 and $7+$28=$35.Hope I’m right

The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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Answer: XY=21 YZ=29

Step-by-step explanation: okay so the entire line (XZ) is equal to 50, and its made up of a and a + 8. So you can make an equation out of that.

a+a+8=50

2a+8=50

2a=42

a=21

then you just have XY equal 21, and YZ equal 21+8 or 29.

Answer:

XY = 21

YZ = 29

Step-by-step explanation:

XZ = 50

XY = a

YZ = a + 8

XY + YZ = XZ

a + (a + 8) = 50

2a + 8 = 50

2a = 50 - 8

2a = 42

a = 42 ÷ 2

= 21

hope this helps

Answer: A) max at (14, 6) = 64,   min at (0,0) = 0

Step-by-step explanation:

Graph the lines at look for the points of intersection.

Input those points into the Constraint function (2x + 6y) and look for the maximum value and minimum value.

Points of Intersection: (0, 0), (17, 0), (0, 10), (14, 6)

Point     Constraint 2x + 6y

(0, 0):                    2(0) + 6(0) = 0              Minimum

(17, 0):                    2(17) + 6(0) = 34

(0, 10):                    2(0) + 6(10) = 60

(14, 6):                    2(14) + 6(6) = 64           Maximum

Answer:

45/49

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

9/14 * 10/7 = 90/98

divide the numerator and the denominator by 2.

90 * 2 = 45

98 * 2 = 49

45/49

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer: 6,001 milliliters

Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.

Answer:

I believe 6 liters is more.

As V is somewhere on UW, the length of segment UV 2x - 13 is 11.

Given the data on the diagram.

Point V is between point U and W on segment UW.

Segment UV + Segment VW = Segment UW

Plug in the values and solve for x.

(2x - 13) + (-18 + 2x) = 17

Solve for x

2x - 13 -18 + 2x = 17

4x - 31 = 17

4x = 17 + 31

4x = 48

x = 48/4

x = 12

Next, we determine the length of segment UV.

UV = 2x - 13

Plug in x = 12

UV = 2( 12 ) - 13

UV = 24 - 13

UV = 11

Therefore, the length of UV is 11.

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Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer:

Step-by-step explanation:

Answer:

it is raining if and only if the ground is wet

Step-by-step explanation:

Answer:

you are correct

Step-by-step explanation:

Part 1

\((f+g)(x)=f(x)+g(x) \\ \\ =(6x+3)+(x^2 +10x-7) \\ \\ =\boxed{x^2 + 16x-4}\)

Part 2

\((f-g)(x)=f(x)-g(x) \\ \\ =(6x+3)-(x^2 +10x-7) \\ \\ =6x+3-x^2-10x+7 \\ \\ =\boxed{-x^2 - 4x+10}\)

Part 3

\((f\cdot g)(x)=f(x) \cdot g(x) \\ \\ =(6x+3)(x^2 +10x-7) \\ \\ =6x^3 + 60x^2 - 42x+3x^2 + 30x-21 \\ \\ =\boxed{6x^3 + 63x^2 - 12x-21}\)

Part 4

\(\left(\frac{f(x)}{g(x)} \right)=\frac{f(x)}{g(x)} \\ \\ =\boxed{\frac{x^2 + 10x-7}{6x+3}}\)

The length of the third side (the side opposite the acute angle) is approximately 12.0 units.

What is Triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

To solve for x in the given right triangle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we have:

x*x + 12*12 = 17*17

Simplifying and solving for x, we get:

x*x + 144 = 289

x*x = 289 - 144

x*x = 145

x = sqrt(145)

Using a calculator, we get:

x ≈ 12.0

Therefore, the length of the third side (the side opposite the acute angle) is approximately 12.0 units.

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Answer:81 minutes

Step-by-step explanation:

every day she practice for 7 more minutes than the previous day. 25 on day two 32 on day three and so on and so forth

Answer:

4+52=56

\(y = 4cm and o = 52 work out x\)

56