b) Find the value of W.
find the value of w
4 cm
3 cm
12 cm
A
B
3 cm
wcm
9 cm
Not drawn accurately

Answer:

99°

Step-by-step explanation:

180-(63+8) = 99°...........

Answer:

I messed up. Please delete this 'answer'

Step-by-step explanation:

Answer:

setting up proportionality equation:

[tex]\sf \dfrac{big-side}{big-diagonal} = \sf \dfrac{small-side}{small-diagonal}[/tex]

[tex]\sf \hookrightarrow \dfrac{7}{16+x+7} = \dfrac{4}{16}[/tex]

[tex]\sf \hookrightarrow \dfrac{7}{23+x} = \dfrac{4}{16}[/tex]

[tex]\sf \hookrightarrow 4(23+x) = 112[/tex]

[tex]\sf \hookrightarrow 92 + 4x = 112[/tex]

[tex]\sf \hookrightarrow 4x = 112- 92[/tex]

[tex]\sf \hookrightarrow 4x = 20[/tex]

[tex]\sf \hookrightarrow x = 5[/tex]

Find DF:

[tex]\hookrightarrow \sf x + 7[/tex]

[tex]\hookrightarrow \sf 5 + 7[/tex]

[tex]\hookrightarrow \sf 12[/tex]

Answer:

We see 2 congruent triangles: Triangle DBC and FEC. Let's set up a proportion to find the value of x and length of DF.

[tex]\frac{BE+EC}{DF+FC} =\frac{EC}{FC}[/tex]

[tex]\frac{3+4}{(x+7)+16} =\frac{4}{16}[/tex]

Cross multiply and solve for x.

[tex](3+4)*16=((x+7)+16)*4[/tex]

[tex]7*16=(x+23)*4[/tex]

[tex]112=(x+23)*4[/tex]

[tex]28= (x+23)[/tex]

x= 5

Now to solve for the length of DF, plug in x into DF.

DF=(x+7)

DF=(5+7)

DF= 12

Answer:

44°

.

......

...............

Answer:

x = 5

Step-by-step explanation:

Two secants have equal ratios when (in this case) they are split up as

AB * AC = AD*AE

Givens

AB = x-2

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

AD = 4

AE = 5 + 4 = 9

Substitute and solution

(x - 2) (2x + 2) = 4 (9)                  Expand the left, Combine the right

2(x^2 - x - 2) = 36                       Divide both sides by 2

x^2 - x - 2 = 18                            Subtract 18 from both sides

x^2 - x - 2 - 18 = 18 - 18              Combine

x^2 - x - 20 = 0                           This factors

(x - 5)(x + 4) = 0                           Only one of these factors works

x - 5 = 0                                       Add 5 to both sides.

x = 5

Answer:

above is the solution to the question

Answer:

Step-by-step explanation:

The ratio of sides of 30 -60 -90 triangle is :  a : a√3 :2a

2a  = 5

a = 5/2 = 2.5

x =  a*√3

  = 2.5√3

  = 2.5 * 1.732

  = 4.3

x= 4.3

The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The expressions are given below.

[tex]\rm \dfrac{3}{x^2 - 9} \ and \ \dfrac{5}{x+3}[/tex]

The sum of the expressions will be

[tex]\rm \dfrac{3}{x^2 - 9} + \dfrac{5}{x+3}[/tex]

We know that the formula

a² – b² = (a + b)(a – b)

Then we have

[tex]\rm \dfrac{3}{x^2 - 3^2} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3}{(x-3)(x+3)} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3+5(x-3)}{(x-3)(x+3)} \\\\\\\dfrac{3+5x-15}{(x-3)(x+3)} \\\\\\\dfrac{5x-12}{(x-3)(x+3)}[/tex]

The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.

More about the fraction number link is given below.

https://brainly.com/question/78672

Answer:

Rewrite the function as an equation.y=−x/ 3+ 8

y=-x3+8

Rewrite in slope-intercept form. y = −1/3x+8. Use the slope-intercept form to find the slopeand y-intercept. Slope: −1/3 intercept: (0,8)(0,8) Find the values of mm and bb using the form y=mx+b

Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yy values. Graph the line using the slope and the y-intercept, or the points.Slope: −1/3

y-intercept: (0,8)

Answer:

2.838

Step-by-step explanation:

put it in the calculator.

Answer:

i put below. if you have a smart website (i dont know how to say it) then all you need is two points

Step-by-step explanation:

all you have to do is find two points

pick any points

lets say x = 0 and x = 2

y = -2(0) + 7

y = 7

(0,7)

y = -2(2) + 7

y = -4 + 7

y = 3

(2, 3)

then graph

Answer:

i don't know any of it so sorry

step by step explanation

Answer: Will need 7 week of time to afford a car worth 1932

Step-by-step explanation:

Missing information : car is worth 1932

Will works 7 hours day, 6 days a week.

=> Number of hours worked in a week = 7 * 6 = 42 hrs

paid 9.20 an hour

=> will  Weekly payment = 42 *9.2  =  386.4

will : mum = 5:2.

=> Will share = (5/7) * 386.4 =  276

car is worth  1932

Number of Weeks taken by will  to afford  a car  = 1932/276 = 7

divide 40 into ratio of 5:2

The ratio of monthly income to the saving of a family is 5:2.

Answer:

A) 9 out of 12

Step-by-step explanation:

The first step is to divide 9 by 12 to get the answer in decimal form:

9 / 12 = 0.7500

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.7500 * 100 = 75.00%

We can prove that the answer is correct by taking 75.00 percent of 12 to get 9:

(12 x 75.00)/100 = 9

Answer:

14x - 14y + 7 - x + z + 2x

There are three like terms in this expression, I made them bold for you.

Like terms are terms that have the same variable and power.

The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex] and the other linear factor is [tex]\rm (2x+1)[/tex].

The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex]. we need to find another linear factor say X.

[tex]\rm 2x^{2} +13x+6 = \rm (x+6)(X)[/tex]

The linear factor of the polynomial is the first-degree polynomial equations represented as [tex]\rm ax+b[/tex] and cannot be factored further.

So, the other factor X can be calculated as,

[tex]\rm 2x^{2} +13x+6 = \rm (x+6)(X)\\\rm 2x^{2} +13x+6\div \rm (x+6)=X\\\rm (x+6)\times \rm (2x+1)\div \rm (x+6)=X\\X=\rm (2x+1)[/tex]

Therefore, The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex] and the other linear factor is [tex]\rm (2x+1)[/tex].

learn more about the factorization of polynomials here;

https://brainly.com/question/26354419

Answer:

Step-by-step explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~~

81x² + _______ + 49 =

( 9x )² + _______ + 7² =

( 9x )² + 2 ( 9x )( 7 ) + 7² =

( 9x )² + 126x + 7² = ( 9x + 7 )²

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

9b² - _______ + 36 =

( 3b )² - _______ + 6² =

( 3b )² - 2( 3b )( 6 ) + 6² =

( 3b )² - 36b + 6² = ( 3b - 6 )²

Answer:

9

Solving steps:

=> 6÷2(1+2)

divide 6 by 2

=> 3(1+2)

add values inside the bracket

=> 3(3)

multiply 3 by 3

=> 9

Answer:

9

Step-by-step explanation:

Use parenthesis, exponents, multiplication, division, addition, and subtraction, witch stands for PEMDAS.

1. 1+2 is the first step, since it is in the parenthesis. This gives you 3

2. You do 6÷2, since that is the next step. Since the operations are from left to right  , you move on the next step, witch is divison. This also gives you 3.

3. You do the final step, witch is to multiply, so you do 3 x 3 , witch gives you 9.

Answer:

The angle CAD is 60° (As seen on the markings of the protractor.) and any angle that is less then 90° is acute. So this is an acute angle.

Let us first put what we see in the image into words

 --> 3 of the p-values equals 1/2

Now let us put that in an equation

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

Hope that helps!

Answer:

x = 60 degrees.

Step-by-step explanation:

The sides are all equal to one another, so that means that it is an equilateral triangle. An equilateral triangle's angle measures are always 60 degrees.

[tex]Hello,BrainlyUser][/tex]

Answer:

x = 60

Step-by-step explanation:

Since the triangle in the picture is a equilateral  triangle. If you don't know what a equilateral triangle.. I will explain to you; An equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

Thus, we can infer that x = 60.

[CloudBreeze]

Step-by-step explanation:

1.

double, +2, double, +2, ...

, 92, 94, 188

2.

I think you made a mistake with the second number. based on the following numbers the number sequence seems to be

1, 3, -1, -3, -7, -21, -25,

and then the pattern is

times 3, minus 4, times 3, minus 4 ...

, -75, - 79, -237

3.

sum of the previous 2 numbers (Fibonacci numbers)

, 13, 21, 34

4.

times 3, plus 4, times 3, plus 4, ...

, 480, 484, 1452

5.

plus 3, minus 5, plus 3, minus 5 ...

, 6, 1, 4

6.

plus 6, minus 3, plus 6, minus 3 ...

, 31, 28, 34

7.

the same as 4.

8.

times 2, minus 7, times 2, minus 7 ...

, -34, -41, -82

9.

plus 6, minus 7, plus 6, minus 7 ...

, 25, 18, 24

10.

times 2, minus 6, times 2, minus 6 ...

, -68, -74, -148

Answer:

R=12.56

Step-by-step explanation:

radius is the center to side or half of the circumference 25.12/2=12.56

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discussion

You are working with the Cosine of the angle.

Hypotenuse = 12.5

Base = 3

Theta = ?

Solution

Cos(theta) = base / hypotenuse         Substitute values

Cos(theta) = 3 / 12.5                            Divide  

Cos(theta) = 0.24                                  Tale the inverse cos

theta = cos-1(0.24)

theta = 76.11 degrees

Work Shown:

Check out the diagram below for the triangle drawing, and also the steps needed to find the angle.

Answer:

monologue the importance of small scale and the importance of small scale and the importance to Puja and the importance of small

Step-by-step explanation:

CUZ THE first try to Puja the importance of small scale and the importance of small scale and the importance of small scale and the importance of small scale and the importance of small scale of small scale and the importance of small scale and the importance of small scale and the importance of small scale and the importance of small businesses to get flame easy for 7class and the importance of small scale and place in I have heard a lot about the importance of small scale 6and and the other day

Answer:

Area of the rectangle = 4x^2+8x = 4x(x+2)

So if the length is (x+2), the width of the rectangle = 4x(x+2)/ (x+2) = 4x.

The length is > the width, so

x+2 > 4x, or

2 > 3x, or

(2/3) > x or

x < (2/3).

Say x = 5/9 which is < 2/3, the length = 2 + 5/9 or 23/9 and the width =20/9, which is logical.

Summing up all the amount in commission made from the three sales we have

= 5500+3250+3900

=$12,650

Given Data

= 5/100*$110,000

= 0.05*$110,000

= $5500

= 5/100*$65,000

= 0.05*$65,000

= $3250

= 5/100*$78,000

= 0.05*$78,000

= $3900

Learn more about percentages here:

https://brainly.com/question/19247356

The conditions for this type of test is that The tuition estimates in each group are approximately symmetric with no outliers.

These are the values in a statistical research that lies in positions that are way off from the values used in the data set.

There would be no outliers used here because all of the tuition estimates would be closely related for the schools.

Read more on outliers here:https://brainly.com/question/3631910

Answer:

17

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