factorise fully
16a²-121b²​

Step-by-step explanation:

m<M=m<L=110°

m<N=m<O=x → 2x+2(110°)=360° → x=70°

m<E=180°-22°=158°

m<A=360°-(88°+22°+158°)= 92°

m<D=m<O=61°

m<S=m<G=x → 2x+2(61°)=360° → x=238/2 = 119°

Answer:

Step-by-step explanation:

1)∠L + ∠O = 180       {Co interior angles}

  110 + ∠O = 180

            ∠O = 180 - 110

            ∠O = 70

Base angles of isosceles trapezoid are equal

∠M = ∠L

∠M = 110

∠O = ∠N

∠N = 70

2) ∠c + ∠A = 180               {Co interior angles}

   88 + ∠A = 180

            ∠A = 180 -88

            ∠A = 92

∠D + ∠E = 180       {Co interior angles}

22 +∠E = 180

      ∠E = 180 - 22

      ∠E = 158

3)  ∠O + ∠G =  180           {Co interior angles}

   61 + ∠G = 180

         ∠G = 180 - 61

         ∠G = 119

Base angles of isosceles trapezoid are equal

∠D = ∠O

∠D = 61

∠S = ∠G

∠S = 119

Answer:

Perimeter: 32

X = 5

Step-by-step explanation:

If you draw a line to make the triangle the longer leg is equal to 4 then the shorter leg is 3 since your subtracting 13 - 10 to get 3 for the shorter leg. you use Pythagorean theorem that would equal 3^2 + 4^2 = 25 if you take the square root of 25 its 5. So now you know x = 5. Then add all the sides together to get the perimeter.

Answer:

|x-5|=0

Step-by-step explanation:

x has to be 5 in order for the equations to work.

Answer:

11.25 feet

Step-by-step explanation:

The model is 1/5 or 0.2 smaller than the original water tower

0.2 x water tower height = 2.25

water tower height = 2.25 / 0.2 = 11.25

Answer:

they are right but who is not excited about the fsa this year ughhhh

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

We know that 2 and 6 = 60 degrees, so we add 60 + 60 which equals 120, now subtract 120 by 180 and you get 60 degrees.

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

the above is really helpful if you don't have a brain.  :P

for 7 we only need Pythagoras's theorem, know it?

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]

out of curiosity.. does the above formula seem "impossible" ?  or does it make sense?

[tex]c^{2}[/tex] = [tex]12^{2}[/tex] + [tex]16^{2}[/tex]

[tex]c^{2}[/tex] = 144 + 256

[tex]c^{2}[/tex] = 400

c = [tex]\sqrt{400}[/tex]

c = 20

x= 20

for 8 we do need the above list of trig functions. we want to find the Hyp x and we know an angle and the adjacent side sooo use Cos .. b/c we can see it's got those parts in it

Cos(60) = 18 / x

I'll show you the algebra we need to use to get this formula so that we can find x

A = B / x  ( this is how it looks above )

x = B / A    , now just put in the parts

x = 18 / Cos(60)  now solve it w/ your calculator..  :P Cos(60) happens to be 1/2 so you could have done this w/o your calculator   :/

x = 36

there you go,   :)

Answer:

Move left 7 units: (-4 - 7, 2) --> (-11, 2)

Then move right 9 units: (-11 + 9, 2) --> (-2,2)

Answer:

sbbdbdbsbsbsbsvsvsvvevevsv ee

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

nothing to do with your question just need points

Step-by-step explanation:

Answer:

62 Words Per Minute

Step-by-step explanation:

Big brain go thinky-think.

Answer:

The answer is "393 ft".

Step-by-step explanation:

Please find the complete question in the attachment file.

Using formula:

[tex]\to \bold{C =2\pi r}\\\\[/tex]

put the value in the above formula:

[tex]=2\times \frac{22}{7} \times 62.5\\\\=\frac{2750}{7}\\\\=392.857143 \approx 393[/tex] ft

9514 1404 393

Answer:

  y = 3x + 2

Step-by-step explanation:

Assuming your table values are (x, y) = (4, 14), (6, 20), (7, 23), the slope and intercept formulas can be used.

  m = (y2 -y1)/(x2 -x1)

  m = (20 -14)/(6 -4) = 6/2 = 3

  b = y -mx

  b = 14 -3(4) = 2 . . . . for (x, y) = (4, 14)

Then the equation of the line is ...

  y = mx + b

  y = 3x + 2

Answer:

-7 and 2

Step-by-step explanation:

I hope this helps :)

Let me know if you need a full explanation

Answer:

Step-by-step explanation:

a+b=-5

a=-5-b, we are also given

ab=-14, using a found above makes this become

(-5-b)b=-14

-5b-b^2=-14

b^2+5b-14=0

(b+7)(b-2)=0

So the numbers are -7 and 2.

Answer:

its a function because each input (X) only has one output (y)

domain (3,-1,7,0)

range (2)

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

1=3*1/3

2=6*1/3

3=9*1/3

......

Yes, All the multiples of 1/3 also repeating decimals.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The decimal form of 1/3 is a repeating decimal.

Now,

Since, The decimal form of 1/3 is a repeating decimal.

As, 1 / 3 = 0.33333...

And, Some of the multiples of 1/3 are;

1 / 3 = 1×2 / 3×2

      = 2 / 6

      = 0.33333....

And, 1 / 3 = 1×3 / 3×3

      = 3 / 9

      = 0.33333....

1 / 3 = 1×4 / 3×4

      = 4 / 12

      = 0.33333....

Thus, Yes, All the multiples of 1/3 also repeating decimals.

Learn more about the divide visit:

https://brainly.com/question/15330585

#SPJ2

Answer:

y=5x+350

If Elena spent a total of $1000, she made 130 shirts.

Step-by-step explanation:

Let x be the number of T-shirts. Let y be the amount of money spent.

1000=5x+350

5x=650

x=130

Answer:

11/21.

BG has a total of 11 points (when you include 0), and there are 21 points total. 11/21 cannot be simplified, your final answer is 11/21.

The required probability is 11/21 that one point will be on BG.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given that the number line which has a point is chosen at random on AK.

As per the given question, the required solution would be as:

Since BG has a total of 11 points (when you include 0),

so, the number of favorable outcomes : 11

There are 21 points in total, then the total number of outcomes : 21.

So, the probability that one point will be on BG would be as:

⇒ 11/21

Learn more about probability here:

brainly.com/question/11234923

#SPJ2

Step-by-step explanation:

(4y-y)(9+4x+3y)

36y+16xy+12y^2-9y-4xy-3y^2

collect like terms

36y-9y+16xy-4xy+12y^2-3y^2

=27y +12xy+9y^2

Answer:

y = 70x

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the polygon A (and other possible polygons to select from) are not given. So, I will answer on a general term.

Assume that Polygon A is a rectangle of dimension 2ft by 5ft.

[tex]Length = 2ft[/tex]       [tex]Width = 5ft[/tex]

Possible scaled copies can be gotten by multiplying the dimension of A by the same scale factor.

Take for instance, the scale factor k is:

[tex]k = 3[/tex]

A scaled copy of polygon A (say polygon B) is: 6ft by 15ft

This is gotten by:

[tex]Length = 2ft * 3 = 6ft[/tex]     [tex]Width = 5ft * 3 = 15ft[/tex]

The area of A is:

[tex]Area = 2ft * 5ft = 10ft^2[/tex]

The area of B is:

[tex]Area = 6ft * 15ft = 90ft^2[/tex]

See attachment for polygons

Comparison

The area of B is greater than the area of B.

This method can be applied to scale factors

Answer:

1. x=9

2. y=2

3. n=4

hello just helping out!

Answer:

[tex]x=0, y=2[/tex]

Step-by-step explanation:

Below! Credits to WolframAlpha!

Answer:

37.3

Step-by-step explanation:

Answer:

37.29

Step-by-step explanation:

Answer: 108

Step-by-step explanation: