Are the triangles similar, if so write how you know.

Answer:

Step-by-step explanation:

You want a system of equations and a graphical solution for the scenario that the weight of peaches sold (y) is 3 times the weight of apples sold (x), and the revenue from sales of apples at $3/lb and peaches at $4/lb was a total of $240.

The revenue equation can be ...

  3x +4y = 240

The relation between pounds of each fruit sold can be ...

  y = 3x

The graph is attached. The solution is (x, y) = (16, 48).

16 pounds of apples and 48 pounds of peaches were sold.

__

Additional comment

We note that the 3x in the first equation can be substituted by y using the second equation. This gives 5y=240, or y = 48. Then 3x=48, so x=16. This agrees with the graphical solution, as it should.

The correct reason for the similarity of triangles ADC and CBA is given as follows:

SSA.

The similarity theorems are listed as follows:

In this problem, we have that:

Two sides and an angle not between them, hence they are congruent by the SSA theorem.

More can be learned about similarity theorems at https://brainly.com/question/21247688

#SPJ1

The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

To learn more about Linear Equation in Two Variables from the given link

https://brainly.com/question/24085666

#SPJ1

Answer:

reflection over the y-axis

Step-by-step explanation:

Answer:

C?

Step-by-step explanation:

Answer:

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

Let the length be l and width be w.

Given:

Substitute l and solve for w:

Find the value of l:

The coordinates of point C is (-2, 12)

The segment OC is perpendicular to the chord AB.

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

Points A(-6,10) and B(2,14) lie on circle O with its center at (2,4).

C is the midpoint of the chord AB.

Now,

The coordinates of C = (x, y).

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

y = (10 + 14) / 2 = 24/2 = 12

(x, y ) = (-2, 12)

The relationship between chord AB and segment OC.

The segment OC is perpendicular to the chord AB.

Thus,

The coordinates of C is (-2, 12)

The relationship between segment OC and chord AB is that segment OC is perpendicular to chord AB.

Learn more about midpoints of a line segments here:

https://brainly.com/question/13792156

#SPJ1

Answer:

A,C

Step-by-step explanation:

A,C

Functions have only one output for every input

The Length is 5 inches and the Breadth is 15 inches

What is Perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.

Solution:

Perimeter of Rectangle = 2*(Length + Breadth)

According to the question

Breadth = 3*Length

Perimeter = 40

40 = 2*(Length + 3*Length)

20 = 4*Length

Length = 5 inch

Breadth = 15 inch

To learn more about Perimeter from the given link

https://brainly.com/question/19819849

#SPJ1

Answer:

-2

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] * -3

=        [tex]\frac{2}{3}[/tex] * [tex]-\frac{3}{1}[/tex]

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

= [tex]-\frac{2}{1}[/tex]

= -2

Step-by-step explanation: When you divide the 2 by 9, you get like 0.222222 (and it repeats forever), then since the 2 is less than 5, you round down, so it would be 0.22 after rounding. I hoped this helped!

The value of x = -84/17, y= 24/17 and z = 9/17

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x -2y + z= -6

x- 5z= -12

-x+ 6y + 4z = 3

Put x= -12+ 5z in equation 1 and 3

-12+ 5z - 2y + z= -6

6z - 2y = 6

3z - y= 3............(a)

and, 12 - 5z + 6y + 4z = 3

6y - z = -9.......(b)

Solving a and b we get

6(3z- 3) - z = -9

18z - 18 - z= -9

17z = 9

z= 9/17

and, y= 3(9/17) - 3 = 24/17

and, x = -12 + 120/17= -84/17

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

The measures of two angles in the order from the smallest to the greatest are 21° and 69°.

What is a right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given the acute angle of a right triangle is 6 more than 3 times the measure of the other small angle.

Assume that the measurement of smaller angle is x.

Then the mathematical expression of 6 more than 3 times of x is 6 + 3x.

The measure of third angle is 90° since it a right triangle.

The sum of all interior angles of a right triangle is 180°.

The equation is

x + (6 + 3x) + 90 =180

x + 6 + 3x + 90 =180

Combine like terms:

(x + 3x) + (6 + 90) = 180

4x + 96 = 180

Subtract 96 from both sides:

4x = 180 - 96

4x = 84

Divide both sides by 4

x = 21

Putting x = 21 in the expression (6 + 3x) :

6 + 3x = 6 + 63 = 69.

To learn more about sum of interior angle, click on below link:

https://brainly.com/question/9391455

#SPJ1

Reason:

x and y are the legs.

[tex]5\sqrt{2}[/tex] is the hypotenuse.

The hypotenuse is always opposite the 90 degree angle.

The hypotenuse is always the longest side of any right triangle.

Answer:

1 7/19

Step-by-step explanation:

First, to solve this problem, you change the mixed fraction to improper fractions:

13/3 / 19/6

Now, you make it into a multiplication problem by multiplying the first number by the reciprocal of the second number.

13/3 x 6/19

Simplify :

13/1 x 2/19

Multiply the numerators by denominators to get the total:

26/19 or simplified: 1 7/19

the answer to the expression 8.3-4 1/5 (6.1+1/2)is -19.42

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The given expression

8.3-4 1/5 (6.1+1/2)

=8.3-4 1/5 (6.6)

=8.3-(6.6*21/5)

=-19.42

Hence the answer is -19.42

Learn more about arithmetic, by the following link.

https://brainly.com/question/13181427

#SPJ1

The individual charges of Nikki and Dave are mentioned in the table -

Nikki            Dave

$20             $12.5

$40              $25

$60             $37.5

$80              $50

The complete question is shown in the image attached in the end.

For Nikki, the charge function is given as -

n = 20r

We can write the charge function for Dave as follows.

We have the following points -

(1, 12.50) and (4, 50)

The charge function is equivalent to -

n = {(50 - 12.5)/(4 - 1)}r

n = (37.5/3)r

n = 12.5r

We can write the table for both Nikki and Dave as -

Nikki            Dave

$20             $12.5

$40              $25

$60             $37.5

$80              $50

Therefore, the complete table representing the individual charges of Nikki and Dave are -

Nikki            Dave

$20             $12.5

$40              $25

$60             $37.5

$80              $50

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ1

option B is correct. 10/9 is greater than 1, the product of  [tex]3\frac{2}{3}[/tex] and ​10/9​ is greater than ​3 is the statement,

Multiplication is a method of finding the product of two or more numbers

We need to find the product of [tex]3\frac{2}{3}[/tex] and 10/9.

Firstly let us convert the mixed fraction  [tex]3\frac{2}{3}[/tex] to the improper fraction.

11/3 is the simplified form of  [tex]3\frac{2}{3}[/tex]

11/3×10/9

110/27

4.1

As we observe the 10/9 is greater than 1, the product of  [tex]3\frac{2}{3}[/tex] and ​10/9​ is greater than ​3.

Hence, the statement 10/9 is greater than 1, the product of  [tex]3\frac{2}{3}[/tex] and ​10/9​ is greater than ​3.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ1

Answer:

top right :)

Step-by-step explanation:

you can use the ruler trick! if you drag a ruler across the math problem and it crosses two lines at the same time then it's not a function. same goes for points. and as you can see if I were to drag a ruler across this one you won't pass two points at once!

Answer:

This is a problem of weighted averages and can be solved with a system of equations.

Let's define:

- `x` as the amount (in lbs) of the cheaper chocolate,

- `y` as the amount (in lbs) of the expensive chocolate.

We can set up the following equations:

1. `x + y = 62.4` (the total amount of chocolate we want)

2. `$2.10x + $9.90y = $2.40 * 62.4` (the total cost of the chocolate mixture)

The second equation represents the total value of the chocolate, while the first represents the total weight.

We can solve this system of equations using substitution or elimination. In this case, it may be simpler to use elimination.

Let's first transform the second equation to get rid of the dollar signs:

2.10x + 9.90y = 2.40 * 62.4

2.10x + 9.90y = 149.76

Let's now multiply the first equation by 2.10 (the price per lb of the cheaper chocolate):

2.10x + 2.10y = 2.10 * 62.4

2.10x + 2.10y = 131.04

Subtracting the second equation (multiplied) from the original second equation, we get:

9.90y - 2.10y = 149.76 - 131.04

7.80y = 18.72

Solving for y, we get:

y = 18.72 / 7.80 = 2.4 lbs

Substituting y = 2.4 into the first equation:

x + 2.4 = 62.4

x = 62.4 - 2.4 = 60 lbs

So, you will need 60 lbs of the cheaper chocolate and 2.4 lbs of the expensive chocolate to obtain the desired mixture.

The length of the MN is 9.4.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle NML.

NL = 12

Sin 51 = NM / NL

0.78 = NM / NL

MN = 0.78 x NL

MN = 0.78 x 12

MN = 9.36

Rounding to the nearest tenth.

MN = 9.4

Thus,

MN is equal to 9.4.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

Answer:

To find the equivalent of 2 4/5 + 4/6, we first need to convert the mixed numbers to improper fractions. To do this, we multiply the whole number part of the mixed number by the denominator of the fraction part, and add the result to the numerator of the fraction part. So 2 4/5 becomes 2 * 5 + 4 = 14/5. Similarly, 4/6 becomes 4 * 1 + 6 = 10/6.

Next, we need to find a common denominator for the two fractions so that we can add them. A common denominator for 14/5 and 10/6 is 30, so we convert both fractions to have a denominator of 30. To convert 14/5 to have a denominator of 30, we multiply the numerator and denominator by 6, which gives us 14 * 6 / 5 * 6 = 84/30. Similarly, we multiply the numerator and denominator of 10/6 by 5 to get 10 * 5 / 6 * 5 = 50/30.

Now that both fractions have a denominator of 30, we can add them to get the equivalent of 2 4/5 + 4/6. This gives us 84/30 + 50/30 = 134/30. Finally, we simplify the fraction to get the final answer, which is 134/30 = 4 8/30 = 4 4/15. So, the equivalent of 2 4/5 + 4/6 is 4 4/15.

Answer:

56

Step-by-step explanation:

Answer:

you really just click on peoples questions and just be like sorry im just here for the points so im doing it to you

Step-by-step explanation:

1 is the root of the equation cosx = x² in the interval  [0, pi]/

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given equation is cosx = x²

cosx-x²=0

y(x)=cosx-x²

y(0)=1

y(π)=-1-π²

y(π)<0<y(0) and y is continuous, there must be a value of x in [0, pi]

where

cosx−x²=0.

Hence, 1 is the root of the equation cosx = x² in the interval  [0, pi].

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer: The number of trials is limited to two.

Answer:

17/6 divided by 5/3 is equal to 17/6 * 3/5, which simplifies to 51/30.

Answer:

In 2010, the average selling price was $700, and in 2012, the average selling price was $560.