the first side of a triangle is 3 m shorter than the second side. the third side is 4 times as long as the first side . the perimeter is 27 m. find the length of each side

Answer:

The distance between points M and N is 9.8m.

Step-by-step explanation:

It is given that JKL is a triangle and M and N are the mid points of the KL and JL respectively.

Now, if we join the mid points together that is MN, then we can see that the basic proportionality holds that is:

[tex]\frac{LM}{MK}=\frac{LN}{NJ}[/tex]

[tex]\frac{10.7}{10.7}=\frac{7.4}{7.4}=\frac{1}{1}[/tex] which holds.

And which also proves that MN is parallel to JK.

Now, if MN is parallel to JK, then the measure of MN will be half the measure of JK, that is:

[tex]MN=\frac{1}{2}JK[/tex]

[tex]MN=\frac{1}{2}(19.6)[/tex]

[tex]MN=9.8 m[/tex]

Thus, the measure of MN is 9.8 meters.

Answer:

yah its 9.8 meters bro

Step-by-step explanation:

best of luck to yall on assignment and happy new year!!!

Answer:

I think it's 2/15 = 30/x

Step-by-step explanation:

sorry if it's wrong

Answer: Value of cos(M) is

[tex]\cos M=\frac{19}{20}[/tex]

Step-by-step explanation:

Since we have given that

LMN is a right angled triangle where L and M are complementary angles ,

And,

[tex]\sin L=\frac{19}{20}=\frac{Perpendicular}{Hypotenuse}[/tex]

so, we will find base now by using "Pythagorus theorem":

[tex]H^2=B^2+P^2\\\\20^2=B^2+19^2\\\\400=B^2+361\\\\400-361=B^2\\\\39=B^2\\\\\sqrt{39}=B[/tex]

As we know that side opposite to mentioned theta is considered as perpendicular as shown in the figure ,

For M as [tex]\theta[/tex]

NL will be its perpendicular and MN will be its base and to find the cos(M) we use Base and Hypotenuse.

So, now we will find cos(M) i.e.

[tex]\cos M=\frac{Base}{Hypotenuse}=\frac{19}{20}[/tex]

Hence,

[tex]\cos M=\frac{19}{20}[/tex]

To determine how many acres were planted with green beans, we simply take half of the total acreage. Mr. Greenjeans planted a total of 2 acres, so half of this is 1 acre; therefore, 1 acre was planted with green beans.

The question is asking how many acres were planted with green beans, given that Mr. Greenjeans planted crops on 2 acres of land and half of it was with green beans. To find the answer, we need to calculate half of the total land area.

Here is the step-by-step explanation:

Therefore, Mr. Greenjeans planted 1 acre of land with green beans.

Answer:

4.

Step-by-step explanation:

[tex]18x^{2} -32 = 2(9x^{2} -16)[/tex]

we apply difference of squares

2(3x-4)(3x+4)

So, the missing term is 4.

The missing term in the factorization 18x² − 32 = 2(3x + ?)(3x − 4) is 4.

Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form. Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, Factorization is decomposition of that integer in terms of smaller integers; when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.

WE have given an expression as;

18x² − 32 = 2(3x + ?)(3x − 4)

Now we apply difference of squares;

2(9x² - 16)

2(3x + 4)(3x - 4)

OR

2(3x-4)(3x+4)

Therefore, the missing term is 4.

Learn more about factorization here:

https://brainly.com/question/10454590

#SPJ2

Lines f and g are parallel with a transversal forming same side interior angles with measures 3x and 5x + 36.

Theorem: If parallel lines are cut by a transversal, then same side interior angles are supplementary.

The angles measuring 3x and 5x + 36 are supplementary, so their measures add up to 180 degrees

3x + 5x + 36 = 180

8x + 36 = 180

8x = 144

x = 18

The answer is x = 18.

Answer:

18

The answer is 18

Step-by-step explanation:

Answer:

  28

Step-by-step explanation:

Let n represent the number.

Twice the sum of the number and 2 is ...

  2(n +2)

Three times the difference of the number and 8 is ...

  3(n -8)

The problem statement tells us these quantities are equal, so ...

  2(n +2) = 3(n -8) . . . . the given quantities are equal

  2n +4 = 3n -24 . . . . . use the distributive property to eliminate parentheses

  2n +28 = 3n . . . . . . . add 24

  28 = n . . . . . . . . . . . . subtract 2n

The number is 28.

_____

Check

The sum of the number and 2 is 30; twice that is 60.

The difference of the number and 8 is 20; three times that is 60--the same number.

Answer:

[tex]y=2.5x+70[/tex]

Step-by-step explanation:

First of all, this problem is modelled by a linear equation, where the ratio of change is the slope of the line.

Now, we know that [tex]x[/tex] represents students and [tex]y[/tex] represents the total cost.

The problem states that for 25 students, the total cost is $132.50. And for 30 students, the total cost is $145. This information represents two points

[tex](25,132.50)[/tex] and [tex](30,145)[/tex].

So, to find the equation, we first have to find the slope using these two point and the following formula

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } =\frac{145-132.50}{30-25}=\frac{12.5}{5}=2.5[/tex]

This means the slope is 2.5

Now we use the point-slope formula to find the linear equation

[tex]y-y_{1} =m(x-x_{1} )\\y-145=2.5(x-30)\\y=2.5x-75+145\\y=2.5x+70[/tex]

Therefore, the equation that models this problem is

[tex]y=2.5x+70[/tex]

Where the flat fee is $70, and the fee per student is $2.5.

subtract the amount Trina pays from the total:

550 - 85 = 465 per month employer pays

12 months per year

465 * 12 = $5,580 per year is what the employer pays

Answer: $5580.00

Step-by-step explanation:

the answer is xz/y.

Answer:

The expression represents the constant of variation k is  [tex]\frac{xz}{y}[/tex].

Step-by-step explanation:

As given

A quantity x varies directly with y and inversely with z.

[tex]x \propto y[/tex]

and

[tex]x \propto \frac{1}{z}[/tex]

Than combined the above equation.

[tex]x \propto \frac{y}{z}[/tex]

[tex]x = k\frac{y}{z}[/tex]

Where k is the constant of variation.

Than

[tex]k = \frac{xz}{y}[/tex]

Therefore the expression represents the constant of variation k is  [tex]\frac{xz}{y}[/tex].

Answer:

The interquartile ranges are quite close in value.      

Step-by-step explanation:

We have been given two box-plots and we are asked to choose the correct statement about the interquartile ranges.

Since we know that interquartile range is difference between upper and lower quartile.

[tex]IQR=Q_3-Q_1[/tex]

Let us find IQR for the female grades in math.

We can see from box-plot representing female grades that upper quartile is about 90 and lower quartile is about 75.    

[tex]\text{IQR of female grades}=90-75[/tex]

[tex]\text{IQR of female grades}=15[/tex]

Now let us find IQR for the male grades in math.

[tex]\text{IQR of male grades}=85-70[/tex]

[tex]\text{IQR of male grades}=15[/tex]

We can see IQR values for males and females are same, therefore, last statement is true.

Answer:

[tex]16\ burgers[/tex]

Step-by-step explanation:

Let

n ----> the number of burgers

x ----> the total pounds of hamburger

we know that

To find out the number of burgers, divide the total pounds of hamburger by three quarter pound (3/4 lb)

we have

[tex]x=12\ lb[/tex]

so

[tex]n=\frac{12}{(3/4)}=\frac{48}{3}=16\ burgers[/tex]

This results in 16 burgers. To find out how many three quarter pound burgers can be made with twelve pounds of hamburger, you divide the total pounds of hamburger by 0.75.

First, you need to perform a division calculation.

Note that a three quarter pound burger is equivalent to 0.75 pounds.

Therefore, you can make 16 three quarter pound burgers with twelve pounds of hamburger.

The answer is

c) 10(3q + 3)

because it is asking for the VALUE of the number of dimes, not the number of dimes. To get the value of the number of dimes, you have to take the equation 3q+3 and multiply it by 10.

Please rate and thank :)

Please mark as brainliest

Answer:

[tex]-\sqrt{3}[/tex]

Step-by-step explanation:

we know that

[tex]tan(-\frac{\pi}{3})=-tan(\frac{\pi}{3})[/tex]

and

[tex]tan(\frac{\pi}{3})=\frac{sin(\frac{\pi}{3})}{cos(\frac{\pi}{3})}[/tex]

remember that

[tex]cos(\frac{\pi}{3})=\frac{1}{2}[/tex]

[tex]sin(\frac{\pi}{3})=\frac{\sqrt{3}}{2}[/tex]

substitute the values

[tex]-tan(\frac{\pi}{3})=-\frac{(\sqrt{3}/2)}{(1/2)}\\ \\=-\sqrt{3}[/tex]

Answer:
The first image in your answer choices

Explanation:
To find the table of solutions for the given graph, we observe points on the graph that are intersected by the line.

The easiest starting point is often where the line intercepts (or crosses) the vertical y-axis. This occurs one unit above the origin (0,0), so we would say list this point as ordered pair (0, 1). This eliminates the third and fourth tables as answer choices.

Now we use the horizontal x-axis to find other points that the line crosses through. Starting at x = 1, we can see the line goes through the point 4 units above the x-axis here; therefore, its ordered pair is (1, 4). This eliminates the second table as an answer choice.

Let's use one more point to confirm we have the right choice. Starting at x = -1, we can see the line goes through the point 2 units below the x-axis here; therefore its ordered pair is (-1, -2).

The first table contains all of these ordered pairs (0, 1), (1, 4), and (-1, -2), making it your answer choice.

Answer:

X= 8 or 9

Step-by-step explanation:

IT IS 2.31, I AM TELLING YOU THIS IS 2.31