Solve for x and y please​

Answer:

Step-by-step explanation:

The method you would use to prove the two triangles are congruent include the following: B. ASA.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

In Mathematics and Geometry, ASA is an abbreviation for Angle-Side- Angle and it states that when two (2) angles and their included side in two (2) triangles are congruent, then the triangles are said to be congruent.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

you did not provide enough information to answer the question

a) The compounded amount in the account at the end of 1 year is $7,950.

b) The compounded amount in the account at the end of 2 years is $8,427.

Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.

By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.

Compound interest is unlike simple interest, which does not compound interest.

The compound interest formula is:

A = P(1 + r/n)^nt

A = Final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

t = number of time periods elapsed

Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:

A = P(1 + r)ⁿ

Principal = $7,500

Compound interest rate = 6%

Compounding period = Annually

Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)

Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)

Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.

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Answer:

Data set 1

Step-by-step explanation:

Because for every x there is only one y

The data that are function are:

Data set 3 and Data set 1.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A function can be one-to-one or onto.

This means,

one-to-one:

For every x value, there is only one y value.

Onto:

Every element in the range of the function corresponds to at least one element in the domain of the function.

Now,

Data set 2 is not a function because we have,

x = 1 have y = 6 and 4.

Since

Different x values can have the same y value.

So,

Data set 3 and Data set 1 is a functions.

Thus,

Data set 3 and Data set 1 is a functions.

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Answer: 59%

Step-by-step explanation:

Hope this helps have a great day. :)

Answer:

59%

Step-by-step explanation:

I would solve this through proportions

177                x

300            100

Cross multiply

177 x 100 = 17700

And then divide

17700/300 = 59

The answer is 59%

The measurements in the given triangle ABC are A=64°, B=26°,

C=90°, a=7.4, b=3.61, c=8.23

An angle is a figure in Euclidean geometry made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are located in the plane where the rays are located. The meeting of two planes can also create an angle. These are referred to as dihedral angles. The angle formed by the rays lying perpendicular to the two intersecting curves at their point of intersection can likewise be used to establish an angle between two intersecting curves.

Given,

In ΔABC, A=64°, a=7.4

From the figure we know that C=90°, as the given figure is a right triangle.

As we already know that,

Angles sum in a triangle=180°

A+B+C=180°

64°+B+90°=180°

B=180°-154°

B=26°

By using sine rule,

a/SinA =b/SinB=c/Sinc

7.4/Sin 64°=b/Sin 26°=c/ Sin 90°

b=7.4Sin26°/Sin 64°

b=3.61

c=7.4 Sin 90°/Sin 64°

c=8.23

Therefore, the measurements in the given ΔABC are A=64°, B=26°,

C=90°, a=7.4, b=3.61, c=8.23

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Answer:

The blue dot is -19

Step-by-step explanation:

Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.

We are going backward, so we can count backward.

We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.

The blue dot is -19

Answer: The blue dot equals to -19.

Step-by-step explanation:

On the number line, there are the numbers -10 & -4.

-7 would fit in the middle of them. That means the number line goes by minus 3.

Count -10 , -13, -16, then you get on the the blue dot which is -19.

Therefore, -19 is the answer.

Part A: There are 28 green beans in the garden. Part B: There are 80 plants that are either pumpkin or tomato. Part C: There are 52 more corn plants than cucumber plants.

A circle graph, often called a pie chart, is a circular graph with sectors on it, each representing a particular category or set of data. Each sector's area or angle is proportionate to the amount it stands for. In data visualisation, circle graphs are frequently used to show the relative sizes or proportions of several categories or groups within a dataset. They can instantly convey the distribution of data without the need for laborious numerical calculations, which makes them effective for presenting data that is divided into discrete groups. However, if the data is not presented in a clear and simple manner or if the sectors are not precisely drawn to scale, circle graphs may be deceiving.

Part A: The percentage of green beans in the circle graph is 14%.

14% of 200 = 0.14 x 200 = 28

Part B: The circle graph shows:

pumpkin plants and tomato plants is 20% + 20% = 40%.

40% of 200 = 0.40 x 200 = 80

Part C: The corn plants is 36% and the percentage of cucumber plants is 10%.

36% of 200 - 10% of 200 = (0.36 x 200) - (0.10 x 200) = 72 - 20 = 52

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The soccer team has 14 team members.

Since each of those 14 members raised $12.62, first, we need to find how much money have the 14 members raised. For this, we multiply 14 by the amount that each one raised $12.62:

Solving this multiplication we get:

The 14 members of the team have raised $176.68.

Since they need $304.30 for the uniforms, to find how much money they still need to collect in order to purchase the new uniforms, we subtract the money they already have to the total cost of the uniforms:

They still need to collect $127.62

Answer: $127.62

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

d

Step-by-step explanation:

Answer:

it is A

Step-by-step explanation:

x=(x+3)² - 2

what grade are u doing

Answer:

4%

Step-by-step explanation:

2/50= 4/100
4/100= 0.04 or 4%

Answer:

ok

Step-by-step explanation:

To solve the exercise it is easier if you first convert the mixed equation into improper, like this

Now, you just have to multiply the amount of flour that is required by the amount of recipe that Lena wants to prepare, like this

Simplifying you have

Therefore, the amount of flour Lena will need is 1.16 cups flour, and the correct answer is D. 1.16.

Given:

You are given $893 in one, five, and ten dollar bills.

There are 165 bills.

There are twice as many five dollar bills as there are ones and tens combined.

To find:

How many bills of each type are there?

Solution:

Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.

According to the question,

Number of bills : \(x+y+z=165\)         ...(1)

Total amount : \(1x+5y+10z=893\)         ...(2)

Condition : \(y=2(x+z)\)     ...(3)

Equation (3) can be written as

\(\dfrac{y}{2}=x+z\)       ...(4)

Substituting \(x+z=\dfrac{y}{2}\) in (1), we get

\(\dfrac{y}{2}+y=165\)

\(\dfrac{3y}{2}=165\)

\(3y=330\)

\(y=110\)

Substituting y=110 in (4), we get

\(x+z=\dfrac{165}{2}\)

\(x+z=55\)

\(x=55-z\)       ...(5)

Substituting y=110 and x=55-z in (2), we get

\((55-z)+5(110)+10z=893\)

\(55-z+550+10z=893\)

\(9z+605=893\)

\(9z=893-605\)

\(9z=288\)

Dividing both sides by 9, we get

\(z=32\)

Substituting z=32 in (5), we get

\(x=55-32\)

\(x=23\)

Therefore,

One dollar bills = 23

Five dollars bills= 110

Ten dollars bills = 32

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

y-3 = 2(x-1)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-3 = 2(x-1)

Answer:

3=2x+1

Step-by-step explanation:

Use the equation y=mx+b

where y is the y component, x is the variable and b is the x intercept

Answer:

The answer is C

Step-by-step explanation:

Her speed is 1.2 miles per hour and that converted into fractional form is 1 1/5

Solution:

Note that:

Simplify the equation to find the word per minute.

The word per minute is 170/9 words per minute.

Typist = \(1700\)

words = 1 hour \(30\) minutes

Lets, find the word per minute :

\(1700\) words = \(1hour 30\) minutes

\(1700\) words = \(90\) minutes

\(\frac{170}{9}\) words = \(1\) minute

The word per minute is \(\frac{170}{9}\) words per minute.

Part 1

The equation is \(y=a(x+8)(x-72)\).

Using the point \((62, -490)\) to solve for \(a\),

\(-490=a(62+8)(62-72) \implies a=\frac{7}{10}\\\\\therefore \boxed{y=\frac{7}{10}(x+8)(x-72)}\)

Part 2

When \(x=-8\), \(y=0\).

When \(x=2\), \(y=-490\).

So, the average rate of change is \(\frac{-490-0}{2-(-8)}=\boxed{-49}\)

To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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Answer:

\(\dfrac{dA}{dt}+ \dfrac{A}{100}=0\)

A(0) = 70  (i.e the pounds of salt dissolved into the tank)

Step-by-step explanation:

Given that:

a large mixing tank initially holds 400 gallons of water  in which 70 pounds of salt have been dissolved.

The rate at which pure water is pumped into the tank is 4 gal/min

After stirring; the pure water is then pumped out at the same rate.

The objective is to determine the differential equation  for the amount of salt A(t) in the tank at time t > 0. What is A(0)

Taking the differential of:

\(\dfrac{dA}{dt}=R_{in}-R_{out}\)     ---- (1)

where ;

\(R_{in\) = 0

\(R_{out} =\dfrac{A(t)}{400}*4\)

\(R_{out} =\dfrac{A}{100}\)

replacing them into (1) ; we have:

\(\dfrac{dA}{dt}=0 - \dfrac{A}{100}\)

\(\dfrac{dA}{dt}=- \dfrac{A}{100}\)

\(\dfrac{dA}{dt}+ \dfrac{A}{100}=0\)

A(0) = 70 (i.e the pounds of salt dissolved into the tank)

The differential equation for the amount of salt A(t) in the tank at time t > 0 is \(\frac{dA}{dt} + \frac{A}{100} = 0\)

A (0)= 70

Given that,

\(dA\div dt=R_{in}-R_{out}\)

Rin=0

\(R_{out}=A(t)\div 400 \times (4)\\\\ =A\div 100\)

so,

\(dA\div dt=R_{in}-R_{out}\\\\dA\div dt=0- A\div 100\)

So,

\(dA\div dt +A\div 100=0\)

A(0)=70

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The correct answer is Charlie's lemonade

Explanation:

The quantity of lemon vs sugar depends on the ratio each boy used. In the case of James, the ratio of water to the lemonade mix was 7:2. This means he 2 added scoops of lemonade for every 7 cups of water. On the other hand, the ratio of Charlie was 25: 10, which can be simplified as 5: 2 by dividing both numbers by a common divisor (5). This shows, Charlie's lemonade is stronger because he added the same lemonade mix in a lower amount of water, which would make the lemonade have a stronger flavor.

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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Answer:

5^6

Step-by-step explanation:

(5^3)^2

We know that a^b^c = a^(b*c)

5^(3*2)

5^6

Answer:

5⁶

Step-by-step explanation:

\(x^{a^{b} } =\) xᵃᵇ

on this case:

\(5^{3^{2} }\) = 5⁽³⁾⁽²⁾ = 5⁶

It would be more cost-effective to purchase the new machine, as the total costs associated with keeping the old machine are significantly higher. The old machine should be replaced with the new one.

Cost is the value of the resources or expenses incurred in the production or acquisition of goods or services. It includes the monetary value of raw materials, labor, machinery, utilities, rent, taxes, and any other expenses necessary for the production or acquisition of goods or services. Cost is an important factor in determining the price of goods and services, and businesses must carefully manage and monitor their costs in order to maintain profitability. In financial accounting, costs are classified into different categories such as direct costs, indirect costs, fixed costs, variable costs, and operating costs, among others.

To calculate the total costs in keeping the old machine and purchasing a new one, we need to calculate the costs associated with each option and compare them.

Option 1: Keep Old Machine

Total costs for keeping the old machine for 10 more years:

Operating expenses: $35,000 x 10 = $350,000

Residual value after 10 years: $13,000

Total costs: $305,000 - $178,000 + $350,000 - $13,000 = $464,000

Option 2: Purchase New Machine

Total costs for purchasing a new machine:

Purchase cost: $233,000

Operating expenses: $10,000 x 10 = $100,000

Salvage value after 10 years: $75,000

Total costs: $233,000 + $100,000 - $75,000 = $258,000

Based on these calculations, it would be more cost-effective to purchase the new machine, as the total costs associated with keeping the old machine are significantly higher.

Therefore, the old machine should be replaced with the new one.

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Answer:

converted to what?

Step-by-step explanation:

In linear equation, x = 18 is the value of x in equation .

What is a linear equation example?

6x +4(x - 10) = 140.

6X + 4X - 40 = 140

10X = 140 + 40

10x = 180

  x = 180/10

  x = 18

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