Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.
Can someone help me asap

Explain How To Find The Value Of X. Be Sure To Include The Postulates, Definitions And Theorems That

Answers

Answer 1

Answer: x = 12

Step-by-step explanation:

We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.

We know that:

cos(S) = adj cathetus/hipotenuse.

Then we have, for the triangle SRT.

Cos(S) = 9/SR.

for the big triangle, SQR, we have:

Cos(S) = SR/(9 + 16)

now we can find the quotient of those two equations and get:

cos(S)/cos(S) = 9/Sr*(9+16)/SR

SR^2 = 9*(25)

SR =  15.

Now with this side we can find the value of x.

We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:

9^2 + x^2 = 15^2

x = √(15^2  - 9^2) = 12


Related Questions

9/20 GREATEST COMMON FACTOR

Answers

Answer:

1

Step-by-step explanation:

Factors of 9 are:

1, 3, 9

Factors of 20 are:

1, 2, 5, 10, 20

The greatest common factor is 1.

9 and 20 have no prime factors in common. The GREATEST COMMON FACTOR is 1. I hope this helps

Simplify the question
10x /(divide) -2y

Answers

Answer:

-5x/y is the answer

Step-by-step explanation:

10x/-2y

Dividing by 2

=5x/-y

=-5x/y

I hope this will help you :)

Answer:

(-5x)/y

Step-by-step explanation:

I'm assuming you meant:

  10x

---------

 -2y

                               -5x

This reduces to   ----------

                                  y

In a sale normal prices are reduced by 10% Angelina bought a pair of shoes in the sale for £54 what was the original pricee of the shoes?

Answers

Answer:

£60

Step-by-step explanation:

Given that

The cost after reduction  = £54

So, 90% = £54

We have to find 100%

To do so, find 10% and ,multiply that by 10

90% = £54

10% = 54/9 = £6

1005 = 6x10 = £60

Hope this helps,.

Please mark brainiest

what is the solution to this equation? 4X equals 32

Answers

Answer:

x = 8

Step-by-step explanation:

4x = 32

Divide each side by 4

4x/4 = 32/4

x = 8

The solution to the equation 4x = 32 is x = 8.

How to evaluate and solve the given equation?

In order to evaluate and solve this equation, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical equation:

4x = 32

By dividing both sides of the equation by 4, we have:

x = 32/4

x = 8

Read more on expression here: brainly.com/question/16729936

#SPJ6

The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.How many students in the survey said that math was their favorite subject?​

Answers

Answer:

Im pretty sure its D- 123

Step-by-step explanation:

Edg 2020


NEED MATH HELP NOW. Need help find the vertex and y intercept. Please show work.

Answers

Answer:

Vertex:   ( 1 ,  9 )

Y-intercept:   ( 0 ,  8 )

Step-by-step explanation:

y = - (x+2) (x-4)

y = -x² + 2x + 8

Find the vertex.

x = -b/2a

x = -2/2(-1)

x = -2/-2

x = 1

y = -(1)² + 2(1) + 8

y = -1 + 2 + 8

y = 9

Find the y-intercept.

Put x as 0.

y = -(0)² + 2(0) + 8

y = 8

A page in an average newspaper has 8 columns of print. Each column consists of 160 lines and each line averages 6 words. What's the average number of words on a full page?

Answers

Answer:

7,680

Step-by-step explanation:

A page has 8 columnsEach column consists of 160 lines.Each line averages 6 words.

The average number of words on a full page

=Number of columns X Number of Lines X Number of words per line

=8 X 160 X 6

=7680

The average number of words on a full page is 7,680.

4.8x10^-3 as an ordinary number

Answers

Answer:

0.008.

Step-by-step explanation:

10^-3 basically tells you to move the decimal point to the left by three digits.

Right now, you have 8. If the decimal point were to move left by three digits, you can visualize 8 as 0008. Move left by three digits, and you get 0.008.

Hope this kind of helps!

Answer:

0.008.

hope this helps :)

-3.42, 10.26, -30.78, 92.34, ___,... what is the next number

Answers

Answer:

-277.02

Step-by-step explanation:

Given series:

-3.42, 10.26, -30.78, 92.34,...

We can see the series is a GP with common ratio of -3, as:

10.26/-3.42= -30.78/10.26= 92.34/-30.78= -3

So the next term will be:

92.34 × (-3)= -277.02

This can have more than one option answer this fast in two minutes

Answers

Answer:

Just QT and UX

Step-by-step explanation:

QT and TX intersect and are not parallel.

QU and ST are not parallel or intersecting.

QT and WX are not parallel or intersecting.

QT and UX are parallel.

) We throw 9 identical balls into 7 bins. How many different ways are there to distribute these 9 balls among the 7 bins such that no bin is empty? Assume the bins are distinguishable (e.g., numbered 1 through 7).

Answers

Answer:

28 ways

Step-by-step explanation:

After placing 1 ball in each of the seven bins, there are two balls left.

If we place both balls in a single bin, there are 7 different ways to place the balls (place both on bins 1 through 7).

If we place each of the remaining balls in a different bin, the number of ways to place the balls is:

[tex]n_2=\frac{7!}{(7-2)!2!}=7*3=21[/tex]

The total number of ways to distribute those balls is 21 + 7 = 28 ways.

Can someone help me I really need help please help me thank you

Answers

Answer:60 degrees

Step-by-step explanation:

60 degress

43 + 167 + 90 = 300

360 - 300 = 60

<!> Brainliest is appreciated! <!>

Please help me!!!!!!!!!!!!!

Answers

Answer:

-3.125  <   -2.95    <    2.6     <     103.5

Step-by-step explanation:

1) [tex]5\frac{6}{15}- 2\frac{4}{5}[/tex]

=> [tex]\frac{81}{15} - \frac{14}{5}[/tex]

=> [tex]\frac{81-42}{15}[/tex]

=> [tex]\frac{39}{15}[/tex]

=> 2.6

2) -4.5 * -2.3

=> 103.5

3) [tex]\frac{5}{-1.6}[/tex]

=> -3.125

4) [tex]-\frac{33}{10} + \frac{7}{20}[/tex]

=> [tex]\frac{-66+7}{20}[/tex]

=> [tex]\frac{-59}{20}[/tex]

=> -2.95

Answer:

fourth, first, third, second,

Step-by-step explanation:

The first equals 2 9/15

The second equals 10.35

The third equals 3 1/8

The fourth equals -2 19/20

the length of a rectangle is twice its width, the perimeter of it is 36cm. what is the are of it

Answers

Answer: 72 cm²

Step-by-step explanation: lets take the width as x and length as 2x as length is twice the width= perimeter of rectangle is 2*(l+b)=36cm

So, 2×(2x+x)=36cm

2×3x=36cm

6x=36cm

X=36/6:6cm( width, since width was taken as x)

Length= 2x: 2×6=12cm

So area of the rectangle is( l*b):

12×6= 72cm²

Anyone know this one?

Answers

Answer:

(-3, 5), (1, 4), (-2, 3), and (0, 2).

Step-by-step explanation:

When a function is inverted, the x-values become y-values, and the y-values become x-values.

The ordered pairs for the function are (5, -3), (4, 1), (3, -2), and (2, 0).

After inversion, the ordered pairs will be (-3, 5), (1, 4), (-2, 3), and (0, 2).

Hope this helps!

In the diagram, the measure of angle 6 is 98°. what is the measure of angle 7?

Answers

Answer:

7∠82°

Step-by-step explanation:

Well angle 6 and 7 are complementary angles, meaning they both add up to 180°.

So we do 180 - 98 which is 82°.

Answer: The measure of angle 7 is 82 degrees.

Step-by-step explanation:

Angle  6 and 7  lies on a straight line so they will add up to 180 degrees.

So if Angle 6 is 98 degrees then an a number plus 98 has to equal 180.

so we could generate an equation as x + 98 = 180  

x + 98 = 180 solve for x

 -98      -98

x= 82  

Here were 87 sunflowers at the flower shop in the morning. There were 56 sunflowers left at the end of the day. How many sunflowers were sold? Explain a way to solve the problem.

Answers

Answer:

31

Step-by-step explanation:

We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.

Answer:

31

Step-by-step explanation:

Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).

Isaac and Victoria share money in the ratio 2 : 5 Victoria recieve £6.60
work out the difference between how much money Isaac and Victoria receive?​

Answers

Answer:

£3.96

Step-by-step explanation:

Data obtained from the question include:

Isaac's ratio = 2

Victoria's ratio = 5

Total ratio = 2 + 5 = 7

Amount Victoria recieve = £6.60.

Next, we shall determine the total amount of money shared by Isaac and Victoria. This is illustrated below:

Let T be the total amount of money shared.

Victoria received = £6.60

Victoria's share =

Victoria's ratio/total ratio x total amount

£6.60 = 5/7 x T

£6.60 = 5T/7

Cross multiply

5T = £6.60 x 7

5T = £46.2

Divide both side by 5

T = £46.2/5

T = £9.24

Therefore, the total amount shared is £9.24.

Next, we shall determine the amount received by Isaac. This is illustrated below:

Victoria's share = £6.60

Total amount shared = £9.24.

Isaac's share =?

Isaac's share = Total amount shared – Victoria's share

Isaac's share = £9.24 – £6.60

Isaac's share = £2.64

Therefore, Isaac received £2.64

Finally, we shall determine the difference between how much money Isaac and Victoria receive. This is illustrated below:

Victoria recieve = £6.60

Isaac receive = £2.64

Difference = £6.60 – £2.64

Difference = £3.96

Therefore, the difference in the amount received by Victoria and Isaac is £3.96

help help meeeee pls

Answers

28/5, you cross multiply so 4/5=y/7 would become 5y=28 then you solve for y from there which becomes 28/5

HELP ME PLEASE HELP ME HELP ME PLEASE

Answers

Answer:

    no, because the remainder is 126

Step-by-step explanation:

if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0

calculating remainder:

[tex]-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126[/tex]

I really need help with this question, it's confusing. It's geometry btw

Answers

Answer:

Two regular nonagons and nine congruent rectangle

Step-by-step explanation:

Two regular nonegon=on the surface and base..

Nine congruent rectangle=look at beside it will be look like 9 rectangle.. I hope it will be right.

the point P = (x, 1/2) lies on the unit curcle shown below. what is the value of x in the simplest form

Answers

Answer:

x=sqrt(3)/2 or -sqrt(3)/2

Step-by-step explanation:

(x,1/2) is on the unit circle at pi/6 and 5pi/6.

so x is either sqrt(3)/2 or -sqrt(3)/2

Answer:  [tex]-\sqrt{3}/2[/tex]

Step-by-step explanation: I did the question and got it right

Sam bakes a variety of biscuits. 1/3
are peanut, 12 are raisin and the
remaining 12 were oat. How many
biscuits are baked?

Answers

Answer: 36

Step-by-step explanation:

Let the no. of biscuits be x

Peanuts will be 1/3x

So,

1/3x + 12 + 12 = x

1/3x + 24 = x

x + 72 = 3x

x-3x = -72

x = 72/2 = 36

Peanut biscuits will be 1/3 * 36 = 12

Total no. of biscuits baked were 12+12+12 = 36

someone help me asap please/math 10

Answers

Answer:

Step-by-step explanation:

4.  a) tan x=17/12=1.416

       x=54.8≈55

b)sin  b=78/132=0.59

  b=36.2≈36

cos 28=x/82

x=82*cos 28=82*0.9=73.8

prove that the difference between squares of consecutive even numbers is always a multiple of 4

Answers

Answer:

Let's call the numbers n and n + 2.

(n + 2)² - n²

= n² + 4n + 4 - n²

= 4n - 4

= 4(n - 1)

a line has a gradient of 4 and passes through the post (1,7). what is the equation?

Answers

Answer:

y = 4x + 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 = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of line

Answer:

The equation is y = 4x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x + b

Substitute the x and y value into the equation

7 = 4(1)+b

7 = 4+b

Subtract 4

7-4 =b

3=b

The equation is y = 4x+3

cube of -1/2 is equal to-----------. i need urgent please.I will mark brainest

Answers

Answer:

-1/8

Step-by-step explanation:

(-1/2)(-1/2)(-1/2)=-1/8

Answer:

[tex] \frac{ - 1}{8} [/tex]

solution,

[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]

hope this helps...

Good luck on your assignment

8. The length of a side and the corresponding height
of a triangle are (x+3) cm and (2x – 5) cm respectively.
Given that the area of the triangle is 20 cm”, find
the value of x.​

Answers

Answer:

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = x + 3 and h = 2x - 5 , thus

[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ( multiply both sides by 2 )

(x + 3)(2x - 5) = 40 ← expand factors on left using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , hence x = 5

A herd of bison currently has 55 members. Based on the available resources,
biologists estimate that the size of the herd will increase at a rate of 6% per
year. Which of the following graphs models this relationship, if the x-axis
represents years and the y-axis represents number of bison?

Answers

The equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have:

A herd of bison currently has 55 members, and biologists estimate that the size of the herd will increase at a rate of 6% per year.

We can model this relationship:

[tex]\rm y = 55(1+0.06)^x\\\\\rm y = 55(1.06)^x[/tex]

Thus, the equation y is equal to 55(1.06) to power x models the relationship between the x-axis which represents years and the y-axis, which represents number of bison.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

11. Three men can build a wall in 10 hours. How
many men would be needed to build the wall in
7 hours?

Answers

Answer:

Man-hours to build the wall: 3 * 10 = 30

:

let m = no. of men required to do it 7.5 hrs

7.5m = 30

m = [tex]\frac{30}{7.5}[/tex]

m = 4 men to build it in 7.5 hrs

Step-by-step explanation:

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