you install 618 feet of fencing along the perimeter of a rectangular yard. The width of the yard is 152 feet. What is the length of the yard?

Answer:

8:5

Step-by-step explanation:

Answer:

Make all of the +/-2 values into -3,+4

Step-by-step explanation:

This is because the x intercept values for a parabola are where the equation equals zero, by making the equations -3 and +4, the equations will give zero values at -4 and plus 3 when they are set equal to zero, I can specify further if need be.

Answer:

pie x r² x h is volume of cylinder

Answer:

1100 dirham

Step-by-step explanation:

If one book is 55 dirham, then you multiply that by 20 to get the total cost.

(If you are supposed to go from dirham to something else, then I'm sorry I don't know)

Hope this helps!

Answer:

∠ECD = 82°

Step-by-step explanation:

Alternate Interior Angles Theorem : when two parallel lines are cut by a transversal, the alternate interior angles are congruent.  Alternate angles form a Z shape and are sometimes called "Z angles".

Therefore,

∠CDF = ∠GBC = 45°

∠CEF = ∠GAC = 53°

The sum of the interior angles of a triangle is 180°

⇒ ∠ECD + ∠CDF + ∠CEF = 180

⇒ ∠ECD + 45 + 53 = 180

⇒ ∠ECD = 180 - 45 - 53 = 82°

In ∆ABC

[tex]\\ \tt\longrightarrow x+53+45=180[/tex]

[tex]\\ \tt\longrightarrow x+98=180[/tex]

[tex]\\ \tt\longrightarrow x=180-98[/tex]

[tex]\\ \tt\longrightarrow x=82[/tex]

Now

m<ECD and m<ACB are opposite hence equal

Answer:

The answer is 228 bags left

Answer: c

Step-by-step explanation:

The answer Is C molecule

[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]

[tex] \\ [/tex]

To find value of x.

[tex] \\ [/tex]

⇢ (3x - 3)° = 60°

[tex] \\ [/tex]

Reason:-{

They both are alternate interior angles.

What is alternate interior angles.?

When two lines are cut by a third line, a transversal.}

[tex] \\ [/tex]

⇢ 3x - 3° = 60

⇢ 3x = 60° + 3°

⇢ 3x = 63°

⇢ x = 63°/3°

⇢ x = 21°

[tex] \\ [/tex]

Verification:

[tex] \\ [/tex]

⇢ (3x - 3)° = 60°

⇢ (3 × 21 - 3)° = 60°

⇢ 63° - 3° = 60°

⇢ 60° = 60°

LHS = RHS

HENCE VERIFIED!

[tex] \\ [/tex]

To find value of y.

[tex] \\ [/tex]

⇢(4y + 4)° + 60° = 180°

[tex] \\ [/tex]

Reason:-{

The lines are in linear pair.

What is linear pair?

A pair of adjacent angles that form angles when two lines intersect}

[tex] \\ [/tex]

⇢ (4y + 4)° + 60° = 180°

⇢ (4y + 4)° = 180° - 60°

⇢ 4y + 4° = 120°

⇢ 4y = 120° - 4

⇢ 4y = 116°

⇢ y = 116/4°

⇢ y = 29°

[tex] \\ [/tex]

Verification:

⇢ (4y + 4)° + 60° = 180°

⇢ (4 × 29 + 4)° + 60° = 180°

⇢(116 + 4)° + 60° = 180°

⇢ 120° + 60° = 180°

⇢ 180° = 180°

LHS = RHS

HENCE VERIFIED!

~WindyMint♡

By using the equivalence of the formed angles, the solution is x = 41.

Note that the angle that is at the right of the equation with x, is equivalent to the bottom right angle, which measures 60°.

Then we will have that:

(3x - 3)° + 60° = 180°

Now we can solve that for x:

(3x - 3)° = 180° - 60° = 120°

3x = 120 + 3

x = 123/3 = 41

The solution is x = 41

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

Answer:

A- not sure how to show u

B- 50% or 1/2

C-33% or 1/3

D- 40% or 2/5 im not sure

Step-by-step explanation:

Answer:

except when x = 3

Step-by-step explanation:

f(x) = [tex]\frac{1}{x-3}[/tex]

the denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

x - 3 = 0 ⇒ x = 3 ← excluded value

f(x) is defined for all real numbers except when x = 3

Answer:

2 mm: 1 m

Step-by-step explanation:

That is, the same soccer field has different lengths in actual and in a map.

These scale and actual lengths must be related, and they are related to each other by what we call the scale ratio.

Scale ratio = dimensions in a drawing : actual dimensions

= 232mm : 116m

(we divide this by 116 to get 2)

= 2mm : 1m

Answer:

1/5x dogs were on a leash

Step-by-step explanation:

To work through this problem we have to keep in mind that x represents the number of dogs at the park.

1/5 of x dogs are leashed.

Therefore, we can conclude that the answer is 1/5x.

I have no idea if the picture of the dogs was meant to give a clue but hope this helps :)

Answer:

um yes to the opreations sjut ad

Answer:

Step-by-step explanation:

You want the values of x and PS for the trapezoid in the figure, given that its perimeter is 228 units.

The trapezoid is shown as an isosceles trapezoid, so PS = RQ. The Triangle RTQ will be repeated on the left side, meaning there is a point T' below point S such that T'P = 4 and T'T = SR = 4x+1.

The perimeter is the sum of side lengths. Working clockwise from the upper left corner this is ...

  perimeter = (4x+1) +(2x -3) +4 +(4x +1) +4 +(2x -3) = 12x +4

Solving for x, we find ...

  12x +4 = 228

  12x = 224

  x = 224/12

  x = 18 2/3

And PS is ...

  PS = RQ = 2x -3 = 2(18 2/3) -3 = 37 1/3 -3

  PS = 34 1/3

<95141404393>

Answer:

35.93

Step-by-step explanation:

If the mean of 15 numbers is 41.6, the sum of these numbers must be (15)*(41.6) = 624

We n=know one of these numbers is the 117 that was entered by mistake.  Subtract that out and replace it with the correct number, 17.  In essence we are modifying the number by (-117+17) or -100.

524 is the corrected value.  Divide that by 15 to find the ciorrect mean:

(524)/15 = 34.93

Answer:

x = 12 and y = -9

                                            Explanation:

Given:

2 x +3y = -3

3x + 5y = -9

make x the subject:

[tex]2 x +3y = -3[/tex]

[tex]2x = -3 - 3y[/tex]

[tex]x = \frac{-3 - 3y}{2}[/tex] _____equation 1

[tex]3x + 5y = -9[/tex]

[tex]3x = -9-5y[/tex]

[tex]x = \frac{-9-5y}{3}[/tex] ______equation 2

solve them simultaneously:

[tex]\frac{-9-5y}{3} = \frac{-3 - 3y}{2}[/tex]

[tex]2(-9-5y) = 3(-3-3y)[/tex]

[tex]-18-10y = -9 - 9y[/tex]

[tex]-10y + 9y = -9 + 18[/tex]

[tex]-y = 9[/tex]

[tex]y = -9[/tex]

now solve for x:

[tex]2 x +3y = -3[/tex]

[tex]2x + 3(-9) = -3[/tex]

[tex]2x -27 = -3[/tex]

[tex]2x = -3 + 27[/tex]

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

coordinates where they both intersect is (12,-9) at one point so they have one solution

Answer:

x = 12

y = -9

The system has one solution as it has one point of intersection at (12, -9)

Step-by-step explanation:

Equation 1:   [tex]2x + 3y = -3[/tex]

Equation 2:   [tex]3x + 5y = -9[/tex]

Rewrite equation 1 to make [tex]x[/tex] the subject:

       [tex]2x + 3y = -3[/tex]

[tex]\implies 2x = -3 - 3y[/tex]

[tex]\implies x = -\dfrac32 - \dfrac32 y[/tex]

Substitute this into equation 2 and solve for [tex]y[/tex]:

       [tex]3( -\dfrac32 - \dfrac32 y)+5y=-9[/tex]

[tex]\implies -\dfrac92 - \dfrac92 y+5y=-9[/tex]

[tex]\implies -\dfrac92 +\dfrac12 y=-9[/tex]

[tex]\implies \dfrac12 y=-\dfrac92[/tex]

[tex]\implies y=-9[/tex]

Substitute y = -9 into one of the equations to find [tex]x[/tex]:

      [tex]2x + 3(-9) = -3[/tex]

[tex]\implies 2x - 27 = -3[/tex]

[tex]\implies 2x = 24[/tex]

[tex]\implies x=12[/tex]

Let's name the x-coordinates and y-coordinates

So, According to question

Abscicca of Point A = 2

Ordinate of Point B = -4

Point D = (-4,2)

Answer:

15m

Step-by-step explanation:

to answer this question, we need to use pythagorean theorem. this theory says:

a² + b² = c²

so, let’s work out b.

a² + b² = c²

20² + b² = 25²

20 x 20 = 400. 25 x 25 = 625.

400 + b² = 625.

we want to solve for b, which means to get b in it’s own, so we are going to get rid of the 400 on both sides, leaving just b² on the one side.

625-400=225.

b² = 225

b = √225

b = 15 :)

hope this helps!!!!

Answer:

The answer will be 96

Step-by-step explanation:

32×3=96

32

3

×

____

96

Answer:

96

Step-by-step explanation:

Answer: angle 2= 145

angle 3= 145

angle 4=35

angle 5=35

angle 6=145

angle 7= 145

angle 8=35

Step-by-step explanation:

look over your angle theorems like the interior angles theorem and the supplementary angle theorem

Answer:

-16.666

Step-by-step explanation:

You can find the reciprocal by turning the intended fraction upside down.

[tex]\frac{-0.06}{1}[/tex] ⤭ [tex]\frac{1}{-0.06}[/tex] = [tex]\frac{100}{-6}[/tex] = [tex]\frac{50}{-3}[/tex] = -16.6666666667

[tex]\cfrac{5}{8}\cdot \cfrac{8}{25}\implies \cfrac{5}{25}\cdot \cfrac{8}{8}\implies \cfrac{1}{5}\cdot 1\implies \cfrac{1}{5}[/tex]

Answer:

438/5 and some corn starch = 1 cup

so 87.6 of wheat flour cups for one cake flour cup

Step-by-step explanation:

1 cake flour=x

x=438/5

x=87.6 and some corn starch but it's not mentioned how much so we can just say 87.6 wheat flour cups for 1 cake flour.

1)

x+10<-7

bring 10 to the other side

x<-10-7

x<-17

2)

-3x-4>5

bring -4 to the other side

-3x>9

divide -3 at the other side, since it is negative it changes to less than

x<-3

Answer:

x=12

Step-by-step explanation:

Using the external angle theorem (external angle = sum of interior angles that are NOT adjacent to the external angle you are finding), we can set up an equation...

140=3x+4+8x+4

Start by combining like terms...

140=11x+8

Subtract 8 from both sides

132=11x

Divide both sides by 11

x=12

Answer:

A It cannot be determined from the information given.

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

trust

Answer:

3/2 cm/s

Step-by-step explanation:

speed = gradient of the line (slope)

To calculate the slope divide the change in y by the change in x:

(9 - 0) / (6 - 0) = 9/6 = 3/2 cm/s

Answer:

6x^2-10x-7

Step-by-step explanation:

(7x^2-4x-8) - (x^2+6x-1)

Distribute the minus sign

(7x^2-4x-8) - x^2-6x+1

Combine like terms

(7x^2-x^2 -4x-6x -8+1

6x^2-10x-7