A house on the market was valued at $478,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is
the current value of the house?

Answer:

By Both

Step-by-step explanation:

You have all 3 corresponding sides are proportional so you have SSS.  That is

24/8=15/5=18/6

You also have SAS because 15/5=18/6 and you have the angle between the sides that I'm referring to in that proportion.

To prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From definition of similar triangles the 3 corresponding sides are proportional so you have SSS.  

Such that  24/8=15/5=18/6

We also have SAS because 15/5=18/6 and you have the angle between the sides.

Hence, to prove that the triangles are similar by the SAS similarity theorem the two sides and angles are proportional.

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Answer:

(1.75, 3)

Step-by-step explanation:

Let's find L' first: We are reflecting L over the x axis, it means it stays on the same vertical (x=-1.75) and it's y changes sign, going to (-1,75,3).

This new point gets reflected again, over the y-axis. The horizontal coordinate (y=3) remains the same, and  the x coordinate changes sign, going to it's final destination (1,75, 3)

The cost per minute is an illustration of proportionality constant.

The cost per minute is of running Alecia's air conditioner is $0.01

The cost function is given as:

[tex]\mathbf{C(m) = 0.01m}[/tex]

Where C represents the cost, and m represents the number of minutes

A proportional relationship is represented as:

[tex]\mathbf{y =kx}[/tex]

Where k represents the constant of proportion.

So, by comparison:

[tex]\mathbf{k = 0.01}[/tex]

In this case, the proportionality constant is the same as the cost per minute.

Hence, the cost per minute is $0.01

Read more about proportionality constant at:

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Answer:

2 x or 3x

Step-by-step explanation:

because is have x

Answer:

x = 30

Step-by-step explanation:

The sum of the exterior angle and interior angle of a polygon = 180°

Then the 2 unknown interior angles are

180 - 2x and 180 - (3x - 20) = 180 - 3x + 20 = 200 - 3x

The sum of the 4 interior angles of a quadrilateral = 360°

sum the 4 interior angles and equate to 360

2x + 2x + 10 + 180 - 2x + 200 - 3x = 360 , that is

- x + 390 = 360 ( subtract 390 from both sides )

- x = - 30 ( multiply both sides by - 1 )

x = 30

Answer:

10u-16

Step-by-step explanation:

Formula for perimeter of a rectangle is 2l+2w, where l and w represent length and width respectively. Applying this formula here, we get 2(5u-10)+2(2), which is a simple expression to simplify:

2(5u-10)+2(2) = 2(5u)-2(10)+2(2) = 10u-20+4 = 10u-16

Answer:

Step-by-step explanation:

Perimeter = 5u - 10 + 5u - 10 + 2 + 2

= 10u - 16...ans

Answer:

The formula is generally represented equationally as ( y - Y1 ) = m( X - X1 ) so now let's substitute the points plotted on the graph.

it is equal to (y - 4) = m(x - 0)

and now we look for the slope

m = y2 - y1/ x2 - x1

which can be directly substituted according to every line connecting each x value to a certain y value.

Answer:

Step-by-step explanation:

(a) 2x + 4 (x - 1) = 2 + 4x

 2x +4x - 4 = 2 + 4x

 6x -4 = 2 + 4x

 2x = 6

   x = 3  One solution

(b) 25 - x = 15 - (3x + 10)

 25 - x = 15 - 3x - 10

2x = 15 - 25 - 10

2x = -20

 x = -10  One solution

(c) 4x = 2x + 2x + 5 (x - x)

 4x = 4x + 5x - 5x

  0 = 0

No solutions

Answer:

11

Step-by-step explanation:

so 10% as a decimal is 0.1 if you take 1.10 and divide it be 0.1 you get 11. you do this because with percent you just multiply the decimal and you have your percent and using inverse operations you divide by the decimal instead of multiply

Answer:

y = 1.25x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1.25 and (0, - 3 ) ⇒ c = - 3

y = 1.25x - 3 ← equation of line

Answer:

No answer i can provide

Step-by-step explanation:

If you need to make a line on a graph, you need to plot at least 2 points. Luckily, the two points have been given.

Plot the points on your graph. for your first coordinate, go 3 over and down 2. for your second point, go over 3 and up by 4. for the line, draw it through your 2 points.

Hope this helps!

Answer:

line is y = 1

Step-by-step explanation:

the question is talking about loci, in this case 2 point

these 2 points are (3,-2) and (3,4)

draw a line to connect these to points and bisect the line.

to do this use a compass : put the compass more than half way and place it one the first point - draw an arc .

then draw another arc at the sencond point

were the 2 arcs meet draw a line - this straight line will be the answer.

y = 1

Answer:

Step-by-step explanation:

bro i dont know sory

Answer:

The number increased by 25%.

Step-by-step explanation:

If you divide 32 into 40 (40 / 32), it will get you 1.25.

Subtract 1 from 1.25 (1.25 - 1.00) and you'll get 0.25.

0.25 is a 25% increase

Answer:

y = x + 4 y= x − 8 25 x + y =

3

Step-by-step explanation:

Answer:

84000 people

Step-by-step explanation:

So next 5 year wil be 56000 + 50%

56000 = 100%

50% = 56000 / 2

50% = 28000

56000 + 28000 = 84000

Answer:

0.0132y :DDDDDDDDDD

Answer:

black line <3

Step-by-step explanation:

the slope is -2 :)

A negative slop occurs when the rate of change is negative. Looking at the options we have, we can pick a point from each line. The Red line will display a positive slop, the Blue line will display a positive slope, but the Black line will display a negative slope. Therefore, the Black like has a negative slope.

I hope this helps! :)

Answer:

12 laps

Step-by-step explanation:

15÷4=3.75

45÷12=3.75

not sure whether it's true or not but at least I got the answer-

Answer:

6, 7, 8

Step-by-step explanation:

Let the smallest integer be x.

The next greater one is x + 1.

The greatest of the three is x + 2.

Now we use the sentence "Twice the greatest of three consecutive integers is 10 more that the smallest integer." to write an equation.

2(x + 2) = x + 10

Solve the equation for x to find the smallest of the integers.

2x + 4 = x + 10

x = 6

The next one is x + 1.

x + 1 = 7

The greatest is x + 2.

x + 2 = 8

Answer: 6, 7, 8

Answer:

6, 7, 8

Step-by-step explanation:

You can set up variables to represent each of these integers.

For example: x, x+1, and x+2. Next find out what x is by using what the question has told you.

Since twice the greatest of three consecutive integers is 10 more than the smallest integer, you can set up this equation: (x) + 10 = 2(x + 2). x represents the smallest integer while x + 2 represents the greatest integer.

Next solve for x using PEMDAS.

1. (x) + 10 = 2(x + 2)

2. x + 10 = 2x + 4

3. 2x - x = 10 - 4

4. x = 6

Now you can find the other integers by adding 1 and 2 to 6.

The correct answers should be 6, 7, 8.

Answer:

1 comic book for $2.25

Step-by-step explanation:

If 3 comic books are for $6.75, then 1 comic book will be $6.75 / 3 = $2.25, and there's your answer.

Tell me if I'm wrong :)

Answer:

$6.75/3= $2.25 per comic book

Step-by-step explanation:

Step-by-step explanation:

1-

(x+3)(x+5)=0

2-

(x-3)(x+1)=0

3-

(x-2)(x+2)=0

4-

(x+3)(x-1)=0

5-

(x-4)(x+8)=0

if it is right

please give me a brainlest

LMC (18,21) = 126

ok done. Thank to me :>

Answer:

700 -6% =658 and 658-7%=611.94

Answer:

since 4y=12 and 4y=2x then 4y=12=2x or 12=2x

Answer:

Point Slope equations:  

[tex]y-4 =-10(x-1)\\y+3 =2(x-5)\\y+7 =\frac{1}{2}(x+7)[/tex]

Slopes:  

Points on the line:

Step-by-step explanation:

Basically we use this formula to solve each column [tex]y-y_{1} =m(x-x_{1})[/tex]

m = slope

[tex]y-4 =-10(x-1)\\y+3 =2(x-5)\\y+7 =\frac{1}{2}(x+7)[/tex]

Answer:

(-4, 3)

Step-by-step explanation:

You have to go -4 on the x-axis, and +3 on the y-axis

Answer:

48°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

The maximum number of turning points of a polynomial function is always one less than the degree of the function. A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising).

[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]

ok done. Thank to me :>

Answer:

See below:

Step-by-step explanation:

No, it appears to be incorrect if its based off the image you have provided.

I can help you make it correct though.

I'll take you through 2 steps to solve the problem, one being Equations and another being Graphing.

Equations

So, to find the slope, we need to get an equation. Most slope's are in the [tex]y=mx+b[/tex]  form which have a few components that we need to know to figure it out.

Now that we know this, we can start breaking i down and soon begin graphing.

The y intercept is one point that we can use to start the line, as the question says to graph the line, we need to start by using the y intercept as one point on the line which would be (0,6) so that would be one point.

Graphing

To graph the line, we need to find the y intercept and another point. For example, we found the y intercept in the previous section, and it was (0,6). We can find another point by just looking at the slope. The slope of the line is 3 so we would go up 3 right 1 from our point to get our second point.

So, our points would be:

Cheers!

Answer:

Answer is graph A

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks