Find the area of the following colored colored regions?

Answer:

From Triangles...

The sum of two opposite interior angles = the exterior

so

3x-2 + 9x + 7 = 14x - 19

12x +5=14x -19

Collecting Like terms

2x= 24

x= 12°.

For "m"

Sum of angles in a triangle=180°

So

180 - (19x-3+9x-2) = m

180 -(28x -5) =m

m= 180 - 28x + 5

m=185 - 28x.

Now

Since sum of everything in a triangle = 180

185 - 28x + 9x -2 + 19x - 3 = 180

185 -28x + 28x -5= 180

185-5=180

180=180

Answer:

36

Step-by-step explanation:

The angle b is a right angle which is divided into 2. So, each angle would measure 45 degree. (90 / 2 = 45)

tan 45 = 1

\AD\ = 100 - 64 = 36

to find x , remember SOCAHTOA

tan would be used because we have the vale of the opposite angle and we want to find the value of the adjacent angle

Tan 45 = opposite / adjacent

1 = 36/x

x = 36

Answer:

It will take 2.8 minutes

Step-by-step explanation:

Given

[tex]x \to Minutes[/tex]

[tex]y \to Gallons[/tex]

See attachment for complete question

Required

Time to fill the tube with 46.2 gallons

The attached table is a represents a direct proportional relationship between x and y.

This relationship is:

[tex]y = kx[/tex]

Where k is the constant of proportionality.

When (x,y) = (1,16.5), we have:

[tex]16.5 = k*1[/tex]

[tex]16.5 = k[/tex]

[tex]k=16.5[/tex]

So, we have:

[tex]y = kx[/tex]

[tex]y = 16.5x[/tex]

To calculate the required time to fill 46.2 gallons, we make x the subject

[tex]x = \frac{y}{16.5}[/tex]

Where

[tex]y =46.2[/tex]

[tex]x = \frac{46.2}{16.5}[/tex]

[tex]x = 2.8[/tex]

Answer:

-25

Step-by-step explanation:

-3b-75=0

    +75 +75

-3b=75

/-3    /-3

b=-25

There isn't 2 solutions

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hope it helps

9514 1404 393

Answer:

  x = 20°

Step-by-step explanation:

Assuming parallel lines, the two angles marked with measures are complementary to each other.

  45° +(5x +35°) = 180°

  5x = 100° . . . . . . . . . . . . subtract 80° from both sides

  x = 20° . . . . . . . . divide by 5

_____

Comment on the geometry

Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. Of course, the acute angles and obtuse angles are linear pairs, hence supplementary. (The only time this won't apply is when all angles are right angles.)

No lines are marked as parallel here, nor does any part of this problem statement say there are parallel lines. So, we cannot find the value of x if we're going strictly by what is shown in the diagram. In the absence of any information, we can only say that the angle marked with an x-expression must be between 0° and 180°.

 0 ≤ 5x +35 ≤ 180 ... -35 ≤ 5x ≤ 145 ... -7 ≤ x ≤ 29.

Answer:

4 months

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

t = time to read whole book

(3/5 ÷ 1/4) = (5/5 ÷ t)

simplify:

12/5 = 1/t

cross-multiply:

12t = 5

t = 5/12  

The value of x is equal to 4, that is  4.5 times 18 is 4

Given that the expression:

18 is equal to 4.5 times a number.

Assume that the number be x.

To find the number that is 4.5 times 18, we can set up the following equation:

4.5 × x = 18

Now, to find the value of x, divide both sides of the equation by 4.5:

4.5 × x / 4.5 = 18 / 4.5

x = 18 / 4.5

x = 4

So, the number that is 4.5 times 18 is 4.

Learn more about Divided here:

https://brainly.com/question/15381501

#SPJ6

Answer:

7y=4y +9(corresponding sides of congruent triangle)

or,7y-4y=9

or, 3y=9

or,y=9/3

so,y=3

now

ST=7y=7×3=21

again

TU=4y+9=4×3+9=21

hope this will help you more

Answer:

The answer is A

Step-by-step explanation:

common denominator is 15

5×2=10

3×4=12

10+12=22

22/15

hope it helps :)

Answer:

Rational

Step-by-step explanation:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0. Since 7.12467 is an integer or decimal it's rational

Answer:

Fastest train: 65 mph

slowest: 55 mph

Step-by-step explanation:

Divide 480 by 4

=120

To find average speed divide 120 by 2

=60

call the speed of the slowest train y.

y+(y+10)=120

2y=110

y=110/2=55

y+10=65

Hope this helps!! :)

Answer:

[tex]x = 11.4[/tex]

Step-by-step explanation:

So there are ways to find a missing side of a triangle.

I'll explain when we use them,

[tex] \frac{11}{ \sin(44) } = \frac{x}{ \sin(46) } [/tex]

[tex] \frac{11}{ \sin(44) } \times \sin(46) = x [/tex]

[tex]x = 11.4[/tex]

Answer:

no, it isn't enough to cover the present

Step-by-step explanation:

first, find the volume of the gift in feet

18*9=162 inches

162/12= 13.5 feet

13.5*2= 27 feet

then, the wrapping paper

3.5*3= 10.5 feet

compare them

27>10.5 meaning there isn't enough wrapping paper

Answer:

276.3cm²

Step-by-step explanation:

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

A can is in the shape of a cylinder

Lateral surface area of a cylinder = 2πrh

π = pi = 3.14

h = height = 11

r = radius = 4

2 x 3.14 x 4 x 11 = 276.32 cm²

to the nearest tenth = 276.3 cm²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

Area of centre rectangle

Area of right rectangle

Total

Answer:

9

Step-by-step explanation:

The formula for (a + b)^2 expands out to: a^2 + 2ab + b^2. In the case of this problem, a equals x and b equals 3. We can substitute to get:

(a + b)^2 = a^2 + 2ab + b^2

(x + 3)^2 = x^2 + 2(x)(3) + (3)^2

(x + 3)^2 = x^2 + 6x + 9

So, the missing term is 9.

Another way to do this is to multiply (x + 3)(x + 3) since it's the same thing:

(x + 3)(x + 3)

x^2 + 3x + 3x +9

x^2 + 6x + 9

By solving this way, you get the same answer.

Answer:

It would be 9.

Step-by-step explanation:

To do this, lets expand the equation (x+3)^2 by turning it into:

(x+3)(x+3)

Now, lets try something called the FOIL method. This is where all of the terms of the equation are multiplied in the order:

1) First

2) Outer

3) Inner

4) Last

So in (x+3)(x+3), each of the first parts of each parentheses box are x's, and x times itself equals x^2 so:

x^2 + ? + ? so far.

Next, with the Outer & Inner parts, they would be x * 3 and 3 * x. With this, you would get 3x and 3x. These can be added to get 6x, the middle part of the equation.

x^2 + 6x + ? so far.

Lastly, for the answer. Time to do the last part of each parentheses box, you would get 3 * 3, which gives you 9.

x^2 + 6x + 9.

Answer:

I just started watching My Hero Academia recently, and I'm already on season four! I love it, you should check it out if you haven't already!

Answer:

cowboy bebop

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

9600

Step-by-step explanation:

1800+200(40-1) = $9600

Answer:

Graph dots in the points of the following:

(-4,10)

(-3,8)

(-2,6)

(-1,4)

(0,2)

(1,0)

(2,-2)

(3,-4)

(4,-6)

(5,-8)

(6,-10)

Connect these dots to make a line.

Answer:

[tex]\sqrt{32}[/tex]

Step-by-step explanation:

Pythagorean - [tex]a^2+b^2=c^2[/tex]

where a and b = legs and c = hypotenuse

For the following problem we are given the hypotenuse ( [tex]\sqrt{84}[/tex] ) and a leg ( [tex]\sqrt{52}[/tex] ) and we need to find the missing side length ( which also happens to be a leg.)

That being said we can find the missing leg by plugging in what we are given into [tex]a^2+b^2=c^2[/tex] ( let a = missing side length )

[tex]a^2+\sqrt{52}^2=\sqrt{84} ^2\\\sqrt{52} ^2=52\\\sqrt{84}^2 =84\\a^2+52=84[/tex]

* subtract 52 from each side

84  - 52 = 32

52 - 52 cancels out

we now have a² = 32

step 2 take the square root of each side

[tex]\sqrt{a^2} =a\\\sqrt{32} =\sqrt{32}[/tex]

Assuming that we are supposed to leave the answer in radical form the answer would be sqrt 32

Answer:

7 in.

Step-by-step explanation:

Let x = the length of the missing side

[tex]x^{2} + \sqrt{32} ^{2} = \sqrt{81} ^{2}[/tex]

[tex]x^{2} +32 = 81[/tex]

[tex]x^{2} = 49\\[/tex]

x = 7 in.

Answer:

17.86 liters of fuels

Step-by-step explanation:

25 / 1.40 = 17.86

Or 17 if you cannot buy for less than $1.40

Answer:

Solution given:

1 packet=600g

we have

1 tone =1000000g

3tone=3000000g

we have

no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]

=[tex] \frac{3000000}{600} [/tex]

=5000

packets she needs is 5000.

Answer:

4

Step-by-step explanation:

multiplication is repeated addition

Answer:

4

Step-by-step explanation:

9+9+9+9= 36

36/9= 4

4×9= 9+9+9+9