Which theorem or postulate proves the two triangles are similar?

Answer:

salary based on how many sales are made

Step-by-step explanation:

Answer:

[tex](4-\sqrt{19},4+\sqrt{19)[/tex]

Step-by-step explanation:

we have

[tex]x^{2} -8x=3[/tex]

Divide the coefficient of term x by 2

[tex]-8/2=-4[/tex]

Squared the number

[tex](-4)^2=16[/tex]

Adds the number 16 to the both sides

[tex]x^{2} -8x+16=3+16[/tex]

[tex]x^{2} -8x+16=19[/tex]

Rewrite as perfect squares

[tex](x-4)^{2}=19[/tex]

take square root both sides

[tex](x-4)=(+/-)\sqrt{19}[/tex]

[tex]x=4(+/-)\sqrt{19}[/tex]

[tex]x_1=4(+)\sqrt{19}[/tex]

[tex]x_2=4(-)\sqrt{19}[/tex]

therefore

The solution set is

[tex](4-\sqrt{19},4+\sqrt{19)[/tex]

Answer:

its A

Step-by-step explanation:

Answer:

y-3=3/5x

Step-by-step explanation:

y-y1=m(x-x1)

Where m=slope and (x1, y1) is a point on the line.

m=(y2-y1)/(x2-x1)

m=(0-3)/(-5-0)

m=-3/-5

m=3/5

y-3=3/5(x-0)

y-3=3/5(x)

y-3=3/5x

(0, 3) is the y-intercept as it passes through y = 3 at x = 0, or the y-axis.

Slope:

[tex] \frac{y1 - y0}{x1 - x0} = \frac{3 - 0}{0 - ( - 5)} = \frac{3}{5} [/tex]

Equation of a straight line:

y = mx + c

m = slope (3/5)

c = y value of y-intercept (3)

Equation:

[tex]y = \frac{3}{5} x + 3[/tex]

Answer:

C = 80pF

Step-by-step explanation:

The total capacitance of 4 capacitors connected in series is given by:

[tex]Ct = \frac{1}{1/C1 + /C2 + 1/C3 + 1/C4}[/tex]

[tex]Ct = \frac{1}{1/C + /C + 1/C + 1/C}[/tex]

[tex]Ct = \frac{1}{4/C}[/tex]

[tex]Ct = \frac{C}{4}=20pF[/tex]

Solving for C:

C = 4*20pF

C = 80pF

Answer:

2y-4-6y-12=4

-4y=20

y= -5

Step-by-step explanation:

because (y+2)(y-2)=y^2-4

so we have the step to let the every part have the same denominator y^2-4

2(y-2)/(y+2)(y-2)  -6(y+2)/(y-2)(y+2)=4/(y-2)(y+2)

the denominators are the same so the equality .we just need the part over be the same 2y-4-6y-12=4

y= -5

Answer:

In the recipe are 1,656 milliliters of milk

Step-by-step explanation:

The correct question is

A recipe for ice cream calls for 1.656 liters of milk.How many millimeters of milk are in the recipe?

Remember that

[tex]1\ liter=1,000\ milliliters[/tex]

To convert liters to milliliters multiply by 1,000

so

[tex]1.656\ L=1.656(1.000)=1,656\ mL[/tex]

therefore

In the recipe are 1,656 milliliters of milk

Answer:

982.695

Step-by-step explanation:

9.359 x 105 = 982.695

Answer:

8 times more 8*2 1/2 = 20 pounds.

Step-by-step explanation:

Answer:

20 pounds of grass seed is needed for one acre.

Step-by-step explanation:

You can set up a proportion to solve:

[tex]\frac{2.5 pounds}{1/8 acre}[/tex] = [tex]\frac{x pounds}{1 acre}[/tex]

Cross multiply:

[tex]\frac{1}{8}[/tex]x = 2.5

Divide both sides by [tex]\frac{1}{8}[/tex] or multiply both sides by 8.

x = 20

Answer:

Improper Fraction- 5.9= 59/10

Mixed number-  5 9/10

Step-by-step explanation:

The mixed fraction of 5.9 is equal to  [tex]5\frac{9}{10}[/tex].

The given decimal number is,

5.9

We have to convert it into mixed fraction,

In order to get mixed fraction first of all convert it into fraction.

Since we know that,

A mixed fraction is one that is created by mixing a whole number and a proper fraction.

Now multiply and divide this with 10 we get,

5.9 = (5.9x10)/10

      = 59/10

Now proceed it by long division method,

10 ) 59 ( 5

   -  50

______

         9

Hence, the mixed fraction of the given number is,

⇒ 5.9 = [tex]5\frac{9}{10}[/tex]

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Answer:

16x-20

Step-by-step explanation:

(8x-30)+6x+(2x+10)

8x-30+6x+2x+10

8x+6x+2x-30+10

14x+2x-20

16x-20

Answer: GCF of 54 and 45: 9.

Step-by-step explanation: The factors of 54 include: 1, 2, 3, 6, 9, 18, 27, and 54. The factors of 45 include: 1, 3, 5, 9, 15, and 45. The largest common factor of 45 and 54 is 9.

Since rectangle PQRS is rotated 90 clockwise about the origin what are the coordinates of R' are: A. R' (4, -1).

In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a clockwise direction would produce a point that has these coordinates (y, -x).

By applying a rotation of 90° clockwise about the center (origin), the coordinates of triangle A'B'C' are as follows;

(x, y)                               →            (y, -x)

Coordinate P (-3, -1)    →  Coordinate P' (-1, 3)

Coordinate Q (-1, -1)     →   Coordinate Q' (-1, 1)

Coordinate R (-1, -4)     →   Coordinate R' (-4, 1)

Coordinate S (-3, -4)     →   Coordinate S' (-4, 3)

Complete Question:

Rectangle PQRS is rotated 90 clockwise about the origin. What are the coordinates of R'?

Answer:

7 units

Step-by-step explanation:

count

Answer:

7

Step-by-step explanation:

We use the Pythagorean theorem with a=1 and b=7.

c ≈ 7

The three integers are 5,17 and -10

Step-by-step explanation:

Let x, y and z be three integers then

[tex]x+y+z=12 \ \ \Eqn\ 1[/tex]

'The sum of the first and second integers exceeds the third by 32'

[tex]x+y=z+32\ \ \ \ Eqn\ 2[/tex]

The third integer is 15  less than the first.

[tex]z=x-15\ \ \ \ Eqn\ 3[/tex]

From Eqn 2:

[tex]x+y=z + 32\\x+y-z=32[/tex]

Subtracting Eqn 1 from eqn 2

[tex]x+y-z-(x+y+z)=32-12\\x+y-z-x-y-z=20\\-2z=20[/tex]

Dividing both sides by -2

[tex]\frac{-2z}{-2}=\frac{20}{-2}\\z=-10[/tex]

Putting z=-10 in Eqn 3

[tex]z=x-15\\-10=x-15\\x=15-10\\x=5[/tex]

Putting x=5 and z=-10 in Eqn 1

[tex]x+y+z=12\\5+y-10=12\\y-5=12\\y=12+5\\y=17\\[/tex]

Hence,

The three integers are 5,17 and -10

Keywords: Linear Equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

Answer:

First = 5, second = 17, third = -10

Step-by-step explanation:

First integer = x

The third integer is 15 less than the first, so

Third integer = x - 15

The second integer = y

The sum of the first and second integers exceeds the third by 32, so

The sum of the first and second integers = x + y

The third integer = x - 15

x + y is 32 more than x - 15, hence

x + y - 32 = x - 15

y - 32 = -15

y = 32 - 15

y = 17

The second integer = 17

The sum of three integers is 12, so

x + 17 + x - 15 = 12

2x + 2 = 12

2x = 12 - 2

2x = 10

x = 5

x - 15 = 5 - 15 = -10

Answer:15.6

Step-by-step explanation:

One hot dog costs $1.75 and one hamburger costs $2.25

Step-by-step explanation:

Let,

Hot dog = x

Hamburger = y

According to given statement;

7x+2y=16.75   Eqn 1

2x+7y=19.25   Eqn 2

Multiplying Eqn 1 by 2;

[tex]2(7x+2y=16.75)\\14x+4y=33.50\ \ \ Eqn\ 3[/tex]

Multiplying Eqn 2 by 7;

[tex]7(2x+7y=19.25)\\14x+49y=134.75\ \ \ Eqn\ 4[/tex]

Subtracting Eqn 3 from Eqn 4;

[tex](14x+49y)-(14x+4y)=134.75-33.50\\14x+49y-14x-4y=101.25\\45y=101.25[/tex]

Dividing both sides by 45;

[tex]\frac{45y}{45}=\frac{101.25}{45}\\y=2.25[/tex]

Putting y=2.25 in Eqn 1

[tex]7x+2(2.25)=16.75\\7x+4.50=16.75\\7x=16.75-4.50\\7x=12.25[/tex]

Dividing both sides by 7;

[tex]\frac{7x}{7}=\frac{12.25}{7}\\x=1.75[/tex]

One hot dog costs $1.75 and one hamburger costs $2.25

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

By using a system of linear equations, the cost of one hamburger is computed to be $2.25 and the cost of one hot dog is computed to be $1.75.

This question involves the use of a system of linear equations to solve for the cost of one hot dog and one hamburger. Let us denote the cost of one hot dog as 'd' and the cost of one hamburger as 'h'. We are given two equations from the problem: 7d + 2h = 16.75 and 2d + 7h = 19.25. Now we can solve this system for values of 'd' and 'h'.

First, we can multiply the first equation by 2 and the second by 7 to make the coefficients of 'h' the same in each equation: 14d + 4h = 33.5 and 14d + 49h = 134.75.

Subtracting the first equation from the second gives us 45h = 101.25. Finally, dividing both sides by 45, we find that h = $2.25 which is the cost of one hamburger.

Substitute h = $2.25 back into the first equation: 7d + 2($2.25) = 16.75. Simplifying, we get 7d = $12.25, and dividing both sides by 7 gives us d = $1.75 which is the cost of one hot dog.

https://brainly.com/question/33609849

#SPJ3

Answer:

The cost of total lunch is 1.18 y ( 1+ 0.0 x )

Step-by-step explanation:

Given as :

The percentage of tip added tot he bill after tax = 18 %

Let the tax added to the bill = x % of total the lunch price

Let The total lunch cost = y

So, The cost of the lunch after tax = y + x %  × y

I.e The cost of lunch after tax = y × ( 1 +x % )

Or. The bill of lunch after tax = y × ( 1 + 0.0 x )

Now the cost of lunch after tax and tip =18 % of y × ( 1 + 0.0 x ) + y × ( 1 + 0.0 x )

Or, the cost of lunch after tax and tip =  y × ( 1 + 0.0 x ) (0.18 + 1 )

∴ The cost of lunch after tax and tip =  y × ( 1 + 0.0 x ) × 1.18

Hence The cost of total lunch is 1.18 y ( 1+ 0.0 x )  Answer

Answer is 15.4 miles

Step-by-step explanation:

So she ran each day for a week and including the weekend is 7 days so if we do 7 times 2.20 it should equal 15.4 miles, also 2 1/5= 2.20 or 2.2 same thing.. Hope this helps, Also I hope I read the question right :/

Answer:

314 of the people attending the fun fair are people living in the neighborhood

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of people attending the fun fair = 2,512

Fraction of people attending the fun fair that are students = 5/8

Fraction of people attending the fun fair that are parents = 1/4

Rest of the people attending the fun fair lives in the neighborhood

2. Let's calculate the number of students, parents and people living in the neighborhood

Students:

Fraction of people attending the fun fair that are students = 5/8

5/8 * 2,512 = 1,570

1,570 of the people attending the fun fair are students

Parents:

Fraction of people attending the fun fair that are parents = 1/4

1/4 * 2,512 = 628

628 of the people attending the fun fair are parents

People living in the neighborhood

2,512 - 1,570 - 628 = 314

314 of the people attending the fun fair are people living in the neighborhood

The area will be 2522.60 km^2 after 11 years

Step-by-step explanation:

First of all, we have to form a funtion for the given scenario.

Let

A be the initial area

r be the decrease rate

and t be the time

Let A_n be the area after t years

Then the function can be given by:

[tex]A_n=A(1-r)^t[/tex]

Given

A=4700 km^2

r=5.5%

t=11 years

Putting the value of rate

[tex]A_n=4700(1-0.055)^t\\=4700(0.945)^t[/tex]

The function can be used to calculate the reduced area

Putting t=11

[tex]A_n=4700(0.945)^{11}\\=2522.596[/tex]

Rounding off to nearest hundredth

[tex]A_n=2522.60\ km^2[/tex]

The area will be 2522.60 km^2 after 11 years

Keywords: Area, Functions

Learn more about functions at:

#LearnwithBrainly

Final answer:

To find the forest area after 11 years with an annual decrease of 5.5%, the exponential decay formula can be applied using the initial forest area and the given rate of decrease.

Explanation:

The question is asking how to calculate the decrease in the forest area over a period of time using a fixed percentage decrease per year. We'll use the formula for exponential decay to find the forest area after 11 years, which is expressed by A = P(1 - r)^t, where A is the amount after time t, P is the initial amount, r is the rate of decrease, and t is the time in years.

To compute the forest area after 11 years with an annual decrease of 5.5%, we'll plug P = 4700 km², r = 0.055, and t = 11 years into the formula. Therefore, the calculation is as follows:

A = 4700 × (1 - 0.055)[tex]11^{2}[/tex]

= 5,37,421.5

After calculating the above expression, we will get the reduced forest area in square kilometers.

There are 29 nickles in the pile.

Step-by-step explanation:

Let,

nickles = x

dimes = y

Total coins = 82

Total worth = $6.75 = 6.75*100 = 675 cents

1 nickle = 5 cents

1 dime = 10 cents

According to given statement;

x+y=82    Eqn 1

5x+10y=675   Eqn 2

Multiplying Eqn 1 by 5;

[tex]5(x+y=82)\\5x+5y=410\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](5x+10y)-(5x+5y)=675-410\\5x+10y-5x-5y=265\\5y=265[/tex]

Dividing both sides by 5;

[tex]\frac{5y}{5}=\frac{265}{5}\\y=53[/tex]

Putting y=53 in Eqn 1

[tex]x+53=82\\x=82-53\\x=29[/tex]

There are 29 nickles in the pile.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

Answer:

We call a 21-sided polygon a Henacosagon.

Explanation:

See chart above

* 9 − nona-

I am joyous to assist you anytime.

The name of a 21 sided polygon is Henicosagon.

A polygon is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are called its edges or sides. The points where two edges meet are the polygon's vertices or corners. The interior of a solid polygon is its body.

Given that, what is the name of a 21 sided polygon,

Polygons have very simple names for the first twenty names.

They use a basic prefix naming system. Di, tri, tetra, penta, and so on.

But polygons with 21 to 99 sides have a different naming system.

First, we use a prefix for the tens (such as triaconta—30). Then we use a prefix for the ones (such as di—20).

At last, we put them together with a ‘kai’ between them. This would be formatted to look like (tens)kai(ones)gon.

In simpler words, a 32-sided polygon. We can normally refer to it as a 32-gon.

Hence, the name of a 21 sided polygon is Henicosagon.

Learn more about polygons, click;

https://brainly.com/question/24464711

#SPJ2

Answer:

B) -x+8

Step-by-step explanation:

8-4(x-6)=8-4x+24=-4x+32

(-4x+32)/4=-x+8

Answer:

the answer is B did it on edge

Step-by-step explanation:

please give brainlist

Answer:

She is going at the rate of 4.5 feet per second.

Step-by-step explanation:

Given:

The rate of walking is 90 yards per minute.

Now, to find the rate in feet per second.

1 yard = 3 foot.

1 minute = 60 seconds.

So, first we find the rate of walking per second in yard = [tex]90\div 60[/tex]

Therefore by dividing we get = [tex]1.5 yard[/tex]

Now, we find the rate of walking per second in feet = [tex]1.5\times 3[/tex]

So, by multiplying we get = [tex]4.5 feet[/tex]

Therefore, she is going at the rate of 4.5 feet per second.

Answer:

x = 5 and y = 14

Step-by-step explanation:

Given [tex]\triangle[/tex]ABC[tex]\cong \triangle[/tex]DEF.

Congruent triangles have congruent corresponding parts, so

[tex]AB\cong DE\\ \\AC\cong DF\\ \\BC\cong EF[/tex]

Since

[tex]AB=8\\ \\BC=19\\ \\AC=14\\ \\EF=4x-1\\ \\DE=y-6,[/tex]

then

[tex]4x-1=19\\ \\4x=19+1\\ \\4x=20\\ \\x=5[/tex]

and

[tex]y-6=8\\ \\y=8+6\\ \\y=14[/tex]

There's a 16% probability that the air-conditioning unit will take longer than 25 minutes to cool a 2000-square-foot home by 1 degree on a 95-degree day with 80% humidity, based on the empirical rule of normal distribution.

To find the probability of the air-conditioning unit taking longer than 25 minutes to cool the house 1 degree, you first have to understand that the situation described follows a normal distribution with a mean (μ) of 24 minutes and a standard deviation (σ) of 1 minute.

Using the Empirical Rule, also known as the 68-95-99.7 rule, we can assess probabilities for normal distributions.

According to the Empirical Rule, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Since we are interested in the time more than 25 minutes, we are looking at the area to the right of the mean plus 1 standard deviation (24 + 1 = 25 minutes).

Approximately 68% of the data falls within one standard deviation (between 23 and 25 minutes), so about 34% is below 25 minutes, and another 34% is above. However, we're interested in the portion beyond 25 minutes, falling in the tail.

Because 50% of the distribution falls above the mean (by definition of a normal distribution), and we account for the 34% within one standard deviation above the mean, this leaves us with 50% - 34% = 16% of data points (times in this case) falling beyond 25 minutes on a 95-degree day with 80% humidity.

Answer:

The surface area of right prism is 12 feet²  , option D

Step-by-step explanation:

Given as :

The measure of base = 4 ft

The height of base = 0.5 ft

The surface area of right prism = perimeter of base × height + 2 × base

Now ,

Perimeter of base = 4 + 4 = 8 ft

So, The surface area of right prism = 8 × 0.5 + 2 × 4

Or, The surface area of right prism = 4 + 8

∴ , The surface area of right prism = 12 feet²

Hence The surface area of right prism is 12 feet²  . Answer

Answer:

17.5 ft2

Step-by-step explanation:

Answer:

9 sides!

Step-by-step explanation:

Nonagon has it's each interior angle measure as 140 degrees.

Polygon with 9 sides!

Answer:

160 member

Step-by-step explanation:

Here the question is, how many total member are there in the team?

Given: 144 member in the meeting is equal to 90% of the total group.

Let assume x be the total member in the green team.

Now, finding the number of member in the team, which is x.

[tex]\frac{90}{100} \times x = 144[/tex]

Next, cross multiply the number on both the side

⇒ [tex]x= \frac{144 \times 100}{90} = 16\times 10[/tex]

∴ x = 160

160 is the total number of member in green team.

Answer:

160 members

Step-by-step explanation:

How do I know this well 144/90 1.6 take away the decimal and it is 16 add a 0 from the 90 and 160

Answer: the answer is B. 5p

Step-by-step explanation:

just did it so i know its right:)

comment if so!