Solve the compound inequality. Graph your solution. 2x – 2 < –12 or 2x + 3 > 7

Answer:

FED ~ MLF

Step-by-step explanation:

∠L = ∠E

∠F = ∠F

Since both angles are congruent, that would mean all angles are congruent.

If all angles are congruent, then the triangles are always similar no matter the length of the sides.

The complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].

Similar triangles are the triangles that have the same shape, but their sizes may vary.

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

When two lines intersect each other, then the opposite angles are formed due to intersection are called vertical angles or vertically opposite angles.

According to the given question.

We have two triangles LMF and EDF

In triangles LMF and EFD we have

∠MLF = ∠DEF   (given)

Also, ∠MFL = ∠DFE   (vertically opposite angles)

Since, we know that " if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other".

Therefore, by AA similarity criteria triangle FED is similar to FLM.

Hence, the complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].

Find out more information about AA similarity rule and vertically opposite angles here:

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Answer:

1733.28

Step-by-step explanation:

we want to find the surface area of the cylinder

We are given:

diameter = 12in

height = 40in

formula to find surface area of a cylinder: SA = 2πr^2 + 2πrh (where h = height and r = radius)

in order to find the SA of a cylinder we need to know the radius

we are given that the diameter is 12

we can acquire the measure of the radius by dividing the diameter by 2 ( this is because the radius is equal to half of the diameter )

so r = 12/2 = 6

now to find the surface area,

we simply plug in the values of the radius and height into the SA of a cylinder formula

SA = 2πr^2 + 2πrh

r = 6

h = 40

( note it says use 3.14 for π )

substitute values

SA = 2(3.14)(6)^2 + 2(3.14)(6)(40)

if you plug this into a calculator you get that the surface area is 1,733.28

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{1}{a^{m} }[/tex] ⇔ [tex]a^{-m}[/tex] , then

[tex]\frac{2}{x^2}[/tex] = 2 × [tex]\frac{1}{x^2}[/tex] = 2[tex]x^{-2}[/tex]

Answer:

Step-by-step explanation:

a) 2x - y = 0

Answer:

523.33 cm³

Step-by-step explanation:

Volume of sphere is given by the formula :

V = (4/3)×pi×r³

= (4/3)×3.14×125

= 523.33 cm³

Answer:

g(x) = 3·sin(x + π/2) - 4

Step-by-step explanation:

The given (general form of a) sin function is g(x) = A·sin(x + C) + D

Where;

A = The amplitude (the vertical stretch) = 3

C = The phase shift, left = π/2

D = The vertical shift = 4 units down = -4

Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of A, C, and D to complete the equation modeling the function g, we get;

g(x) = 3·sin(x + π/2) - 4

Answer:

C. To square a number, multiply the number by

itself.

Step-by-step explanation:

nOSE

D

AS

DA

DAS

DA

SD

ADA

SD

Answer:

Oc

Step-by-step explanation:

Oc because product means multiplication and there is a negative sign

Answer:

parallel segments in order: CB, CA, CO, AN, BA, NO

Answer:

(x + 5)²

Step-by-step explanation:

Given

x² + 10x

To complete the square

add ( half the coefficient of the x- term )² to x² + 10x

x² + 2(5)x + 25

Then

x² + 10x + 25 = (x + 5)²

Answer:

A square shaped room contains 12m³of air.If the height of the room is 3m,what is the area of the floor. find the length too.also write the method ka answer

Step-by-step explanation:

please mark me brainlist

Answer:

not detectable

Step-by-step explanation:

Firstly the question is not clear and the second thing is that the given information don't seem to be enough for calculation

The operating ratio of the local ice cream shop is 38 percent

The cost of goods sold is $2,500

The net sales is $18,200

The operating expenses is $4,350

The operating ratio can be calculated as follows

= cost of goods sold+ operating expenses/total revenue

= 2500+4,350/18,200

= 6,850/18,200

= 0.376×100

= 37.6

= 38%

Hence the operating ratio is 38%  

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Answer:

[tex](x+6)(x-6)[/tex]

Step-by-step explanation:

Hi there!

The difference of squares theorem states that [tex]a^2-b^2=(a+b)(a-b)[/tex].

We're given:

[tex]x^2-36[/tex]

This can be rewritten since 36 is a perfect square:

[tex]=x^2-6^2[/tex]

Use the difference of squares theorem:

[tex]=(x+6)(x-6)[/tex]

I hope this helps!

Answer:

(x-6)(x+6)

Step-by-step explanation:

x^2 -36

Rewriting

x^2 - 6^2

We know a^2 - b^2 = (a-b)(a+b)

(x-6)(x+6)

Answer:

B=(.31, .95)

Step-by-step explanation:

When your at the point (1,0) you are at 0 degrees (cos 0, sen 0) = (1,0).

So at 72 degrees you moved 72 degrees (cos 72, sin 72) = (.31, .95)

Answer:

x = 2

Step-by-step explanation:

[tex]( \frac{7 - 4}{9} )x = \frac{3}{12} + \frac{5}{12} \\ \frac{x}{3} = \frac{2}{3} \\ x = 2[/tex]

Answer:

4096

Step-by-step explanation:

8^6÷8^2

First step is to solve the exponents

8 to the power of 6 is 262144

8 to the power of 2 is 64

Then divide 262144 by 64 : 4096

Answer:

it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n

so 8 to the power 6-2

= 8 to the power 4

that will be 4,096

Answer:

(-2.5,1)

Step-by-step explanation:

Let the point be (m, n). Using section formula we have

m=(5*(-1)+3*(-5))/(5+3)=-20/8=-2.5

n=(5*(7)+3*(-9))/(5+3)=1

cosec(2t)=1/sin(2t) ==> 1/(2×cos(t)×sin(t))

cos(2t)= 1-2sin²t

or 2cos²t-1

or cos²t - sin²t

after we knew this informations we have to write it in the question

1/2×sint×cost-1/1/2×sint×cost=cos2t

-2×sint×cost+1/2sint×cost/1/2sint×cost=cos2t

the 2sint×cost will gone

-2×sint×cost+1=cos2t

lets take cos2t =1-2sin²t

-2×sint×cost+1=1-2sin²t

-2sint×cost=-2sin²t

cost=sint

that means the t is equal to 45 because sin45 and cos45 equal to √2/2

hopefully i didn't waste your time by reading and not understanding my English is not that good sorry

Answer:

see explanation

Step-by-step explanation:

Using the identities

cosec x = [tex]\frac{1}{sinx}[/tex]  , 1 - sin²θ = 1

Consider the left side

[tex]\frac{cosec^20-1}{cosec^20}[/tex]

= [tex]\frac{\frac{1}{sin^20}-\frac{sin^20}{sin^20} }{\frac{1}{sin^20} }[/tex]

= ( [tex]\frac{1}{sin^20}-\frac{sin^20}{sin^20}[/tex] ) × [tex]\frac{sin^20}{1}[/tex] ← distribute parenthesis by sin²θ

= 1 - sin²θ

= cos²θ

= right side, thus proven

Answer:

The given expression will be greater than zero.

Step-by-step explanation:

If a < 0 and b < 0, then 5a^3 is < 0 (5a^3) is negative;

but b^2 is > 0.

Then (5a^3)*(b^2) < 0

and if we divide this quantity by a + b (which is negative), the end result will be > 0.

Answer:

Y =-2.5X +3.5

Step-by-step explanation:

x1 y1  x2 y2

-1 6  3 -4

(Y2-Y1) (-4)-(6)=   -10  ΔY -10

(X2-X1) (3)-(-1)=    4  ΔX 4

slope= -2  1/2    

B= 3  1/2    

Y =-2.5X +3.5    

Answer:

if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)

y+2=-3(x-1)

y+2=-3x+3

y= -3x+3-2

y -3x+1

hope this helps

Answer:

y = -3x + 1

Step-by-step explanation:

(y -(-2)) = -3(x-1)

y+ 2 = -3x+ 3

y = -3x + 1

Answer:

Step-by-step explanation:

If x represents the number of long-sleeved shirts and each of these cost $14, then the expression for that is 14x; likewise for short-sleeved shirts that are represented by y. The expression for short-sleeved shirts that cost $10 apiece is 10y. Putting that together with the fact that they earned less than $200 when selling these at the same time, the inequality is

14x + 10y < 200

Answer:D i just got it right trust mw

Step-by-step explanation:i

Answer:

1)-4x+4

2) C

3)E

4)A

Step-by-step explanation:

Hope it helps

hopefully this answer can help you to answer the next question

Answer:

The Slope-Intercept Form is essentially a special case of the Point-Slope Form. It's said that two points determine a line. That truism is used to quickly sketch a line if its equation is given in the Two Intercept-Form ax + by = c. We get the y-intercept by setting x = 0 and solving for y: by = c, y = c b .

Step-by-step explanation:

plzzz make brainlist and follow

Answer:

(0,2) and (6,0)

Step-by-step explanation:

y-intercept, x=0

0+3y=6

y=2

x-intercept, y=0

x=6

Answer:

TABLE 8

Step-by-step explanation:

Answer:

division involves 5 steps:

D Divide

M Multiply

S Subtract

B Bring down

R Repeat or Remainder

Step-by-step explanation: i hope it helped