Which postulate proves these two triangles are congruent?

Answer:

-2/9

Step-by-step explanation:

Answer: y=2x-20

Step-by-step explanation:

y+18=2(x-1)

y+18=2x-2

y=2x-20

Total sales were $4659.1

Step-by-step explanation:

Given,

Commission = 11%

Amount of commission = $512.50

Let,

total sales = x

Therefore,

11% of x = 512.50

[tex]\frac{11}{100}x=512.50\\0.11x=512.50[/tex]

Dividing both sides by 0.11

[tex]\frac{0.11x}{0.11}=\frac{512.50}{0.11}\\x= $4659.1[/tex]

Total sales were $4659.1

Keywords: percentage, division

Learn more about division at:

#LearnwithBrainly

Answer:

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m\ -\ \text{slope}\\b\ -\ \text{y-intercept}[/tex]

[tex]\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

[tex]\text{We have the equation of a line in the standard form.}\\\text{Convert it to the slope intercept from:}\\\\3x-6y=-2\qquad\text{subtract }\ 3x\ \text{from both sides}\\\\-6y=-3x-2\qquad\text{divide both sides by (-6)}\\\\y=\dfrac{-3}{-6}x+\dfrac{-2}{-6}\\\\y=\dfrac{1}{2}x+\dfrac{1}{3}\to m_1=\dfrac{1}{2}[/tex]

[tex]\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-1\cdot\dfrac{2}{1}=-2.\\\\\text{Put the value of a slope and the coordinates of the point (-3, -8)}\\\text{ to the equation of a line:}\\\\-8=-2(-3)+b\\\\-8=6+b\qquad\text{subtract 6 from both sides}\\\\-14=b\to b=-14\\\\\text{Finally:}\\\\y=-2x-14[/tex]

Answer:

Triangle

The triangle has 3 sides but the other ones have 4 sides. A quadrilateral has 4 sides.

Answer:

275

Step-by-step explanation:

h hamburgers

c cheeseburgers

(h + c) -total

(c + h) = 614

64 more cheeseburgers sold then hamburgers:

64 more cheeseburgers sold then hamburgers

(c - h) = 64

(c + h) = 614

+(c - h) = 64

2c = 678

c = 678/2 = 339

c + h = 614

339 + h =614

h = 614 - 339 = 275

You can't factor anything out of this. At least I don't think

The expression 25x + 14 cannot be traditionally factored as it does not have any common factors, nor does it follow any special binomial patterns. It is already in its simplest form.

Explanation:

The expression 25x + 14 cannot be factored in the traditional sense because it does not have common factors nor does it fit the pattern of a special binomial such as a difference of squares or a perfect square trinomial. The expression is already in its simplest form unless we have additional restrictions or information about variable x. If we were to consider factorization in terms of factoring out a greatest common factor (GCF), since the coefficients 25 and 14 have no common factors other than 1, we cannot factor anything out. Sometimes, in different contexts, we can apply transformations, such as multiplying an equation by a constant to simplify fractions or rearranging terms for clarity, but these strategies do not apply to the expression 25x + 14 as given.

Final answer:

The point (3,9) is the solution to the system of linear equations because it satisfies both inequalities y < 3x + 5 and y > -2/3x - 3 when the values of x and y are substituted into them.

Explanation:

To determine which of the given points is a solution to the system of linear equations:

y < 3x + 5
y > -2/3x - 3

We substitute the x and y values of each option into the inequalities to find a match.

For point (3,14): Substitute x = 3 and y = 14 into the inequalities.

Answer:

25.6

Step-by-step explanation:

$32.00 / 100 = $0.32

$0.32 x 20 = $6.40

So $32.00 - $6.40 = $25.60

Answer: $25.60

Step-by-step explanation: you just subtract 20% fro 30 on a calculator.

Answer:

[tex]x= 28\°[/tex]

Step-by-step explanation:

We have labelled the given diagram and redrawn again in the attachment.

Also from the labelled diagram given below the given details are;

∠CPQ =[tex](5y-4)\°[/tex]

∠RQF =[tex]3y\°[/tex]

∠BRH =[tex](2x+13)\°[/tex]

∠CPQ = ∠PQF  (Alternate Interior Angle)

∠PQF + ∠RQF =180° (Straight angle property)

Now Substituting the values we get;

[tex]5y-4+3y=180\\8y=180+4\\8y=184\\y=\frac{184}{8}=23\°[/tex]

∠RQF =[tex]3y\° = 3\times23 = 69\°[/tex]

∠RQF = ∠BRH (corresponding angles)

[tex]69=2x+13\\2x = 69 -13\\2x=56\\x = \frac{56}{2} = 23\°[/tex]

Hence x = 23°

Answer:

45 mph

The drawing will help

Answer: 45 miles per hour

Step-by-step explanation:

3 hours = 135 miles

divide both sides by 3

1 hour = 45 miles as you can write this as 45 miles per hour

Answer:

3/4

Step-by-step explanation:

21/28=3/4

Answer:

3/4

Step-by-step explanation:

Answer:

9 Miles

Step-by-step explanation:

6+(6/2)=9

Hope this helps!

Answer: 9 miles

Step-by-step explanation:

6 = 10

x = 15

x= 15* 6/ 10

X= 90/10

x= 9

Answer:  9

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

Explanation:

The intersection of the two sets is the list of all values that are in both sets at the same time.

Let's convert set A into roster notation. Roster notation means we just list out all the members (use ellipses if there are a lot of values you don't want to write out; luckily these sets are small). Plug n = 2 into x = 3n and you'll find that x = 6. Repeat for n = 3, and you get x = 9. Repeat for n = 4 and you get x = 12.

Set A looks like this: {6, 9, 12}

-------

Repeat the same basic steps for set B. We'll plug m = 1 into x = 4m-3 to get x = 1. Plug m = 2 into that same equation to get x = 5. Finally m = 3 leads to x = 9

Set B = {1, 5, 9}

-------

In summary,

A = {6, 9, 12}

B = {1, 5, 9}

We see that only 9 is in both sets at the same time.

Therefore, [tex]A \cap B = \left\{ 9 \right\}[/tex] which says "the intersection of set A and set B is the set { 9 } ".

The Venn Diagram shown below has the single element 9 in the overlapping region of the two circles. The other values are in their proper respective circles, but not inside the overlapping region. Set U is the universal set.

Answer:

The correct answer is D. 15 squared centimeters.

Step-by-step explanation:

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

Base one = 10 centimeters

Base two = 5 centimeters

Height = 2 centimeters

2. Let's find out the area of the trapezoid, using the following formula:

Area = 1/2 (Base one + Base two) * Height

Replacing with real values:

Area = 1/2 (10 + 5) * 2

Area = 1/2 (15 * 2) = 1/2 (30)

Area = 15 centimeters ²

The correct answer is D. 15 squared centimeters.

Answer:

(3, 2)

Step-by-step explanation:

3x-y=7

2x-2y=2

------------

y=3x-7

substitute this equation to 2x-2y=2

first, simplify 2x-2y=2 into x-y=1.

-----------------------------------------------------

x-(3x-7)=1

x-3x+7=1

-2x+7=1

-2x=1-7

-2x=-6

x=-6/-2=3

y=3(3)-7=9-7=2

Answer: x=3, y=2.

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

In this problem we have

[tex]m=0.5\\b=2[/tex]

substitute

[tex]y=0.5x+2[/tex]

The easiest way to graph a line is with a pair of points.

Find the intercepts

The y-intercept is given ----> point (0,2)

The x-intercept is the value of x when the value of y is equal to zero

For y=0

[tex]0=0.5x+2[/tex]

[tex]x=-4[/tex]

so

The x-intercept is the point (-4,0)

Plot the intercepts and join the points to graph the line

using a graphing tool

The graph in the attached figure

Answer:

15p+15

Step-by-step explanation:

3(3p+5)-6p+3p(5-1)

9p+15-6p+3p(4)

9p-6p+15+12p

3p+12p+15

15p+15

Volume of sphere having radius of 3 inches is 113.04 cubic inches.

Solution:

Given that the radius of a sphere is 3 inches. Need to determine the volume of sphere

Formula for volume of sphere is as follows :

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

Where V is volume of sphere , π is constant value = 3.14 and r = radius of a sphere.

In our case, r = 3 inches

On substituting the value of π as 3.14 and value of r as 3 inches in the formula of volume of sphere, we get

[tex]V=\frac{4}{3} \times 3.14 \times 3^{3}=4 \times 3.14 \times 9=113.04 \text { cubic inches }[/tex]

Hence volume of sphere having radius of 3 inches is 113.04 cubic inches.

Answer:

x=11, now it's the right answer :/

Step-by-step explanation:

-3x+15=4-2x

-3x+11=-2x

11=x

Fixed

To find the cost of 24 candy bars, calculate the cost per candy bar (found by dividing $20 by 16, equaling $1.25) and multiply it by 24. Therefore, 24 candy bars would cost $30.

The subject of the question involves unit pricing, a common concept in mathematics. To find the cost of 24 candy bars, first identify the cost per candy bar, then multiply this unit price by the number of candy bars in question.

From the question, we know that 16 candy bars cost $20. So the unit price, or cost per candy bar, is $20 divided by 16, which equals $1.25.

Therefore, the cost of 24 candy bars would be $1.25 (the cost per candy bar) multiplied by 24 (the number of candy bars), which equals $30. Hence, 24 candy bars would cost $30.

https://brainly.com/question/32390020

#SPJ2

Answer:

Answer:

[tex]\displaystyle -4 + c < -20[/tex]

Step-by-step explanation:

You could either do what I did in the above answer, or you could do this:

[tex]\displaystyle c - 4< -20[/tex]

It does not matter how you write it, as long as you understand the concept!

I am joyous to assist you anytime.

The area of the rectangle with dimensions (3x + 5) by (x - 2) is represented by the algebraic expression 3x² - x - 10.

The area of a rectangle is found by multiplying its length by its width. Given a rectangle with length (3x + 5) and width (x - 2), we can find its area by using the formula for the area of a rectangle, which is length × width.

Area = (3x + 5)(x - 2)
By expanding this, we use the distributive property:
Area = 3x(x) + 3x(-2) + 5(x) + 5(-2)
Area = 3x² - 6x + 5x - 10
By combining like terms, we get:
Area = 3x² - x - 10

For this case we have the following system of equations:

[tex]x-5y = 33\\5x-6y = 70[/tex]

We multiply the first equation by -5:

[tex]-5x + 25y = -165[/tex]

Thus, we have the equivalent system:

[tex]-5x + 25y = -165\\5x-6y = 70[/tex]

We add the equations:

[tex]-5x + 5x + 25y-6y = -165 + 70\\19y = -95\\y = - \frac {95} {19}\\y = -5[/tex]

We find the value of the variable "x":

[tex]x-5 (-5) = 33\\x + 25 = 33\\x = 33-25\\x = 8[/tex]

Thus, the solution of the system is:

[tex](x, y) :( 8, -5)[/tex]

Answer:

[tex](x, y) :( 8, -5)[/tex]

Answer:

45 Miles

Step-by-step explanation:

3 hours * 15mph= 45 Miles in 3 hours

Answer:

The difference between the given two expression as - 19 w - 3 .

Step-by-step explanation:

Given algebraic expression as

- 14 w - 3  and  5 w

Now, Let the difference between the given two expression = x

or, x = ( - 14 w - 3 ) - 5 w

or , x = - 14 w - 5 w -3

or,  x = w ( - 14 - 5 ) - 3

Or, x = -19 × w - 3

∴  x = -19 w -3

So, The difference is - 19 w - 3

Hence The difference between the given two expression as - 19 w - 3 . Answer

Answer:

The Time taken by submarines to travel before the vessel is 11 hours

Step-by-step explanation:

Given as :

The average speed of aircraft carrier = 15 mph

The average speed of submarine = 15 mph

The distance between them = 300 mile

The time taken by aircraft = T hour

The time taken by submarine = T + 2  hour

Now, Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]

So, Distance =  Speed × Time

Now,

300 miles = 15 × T + 15 × ( T + 2)

Or, 300 = 15 T + 15 T + 30

or, 300 - 30 = 30 T

Or, 270 = 30 T

∴ T = [tex]\frac{270}{30}[/tex]

I,e T = 9 hours

So, T + 2 = 9 + 2 = 11 hours

Hence The Time taken by submarines to travel before the vessel is 11 hours Answer

Answer:

Option A is correct.

Step-by-step explanation:

See the two graphs given in the diagram attached.

The first graph shows the function f(x) = x²

Hence, it passes through the points (1,1), (-1,1), (2,4) and (-2,4) points.

Now, from the plotted second graph we see the points (2,2), and (-2,2) are on the curve.

Hence, the y-value corresponding to the same x-value reduces by a factor [tex]\frac{1}{2}[/tex] in the second graph i.e. the graph of y = g(x) compared to the first graph.

So, we can conclude that the transformed graph has the equation [tex]g(x) = \frac{1}{2} x^{2}[/tex].

Hence, option A is correct. (Answer)

Answer:

The answer is g(x) = (1/2) x^2

Step-by-step explanation:

Answer:

The value of y is 14

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have the points

[tex](-2, y)\ and\ (4, 6)[/tex]

[tex]m=-\frac{4}{3}[/tex]

substitute in the formula the given values

[tex]-\frac{4}{3}=\frac{6-y}{4+2}[/tex]

solve for y

[tex]-\frac{4}{3}=\frac{6-y}{6}[/tex]

Multiply by 6 both sides

[tex]-8=6-y[/tex]

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