9. If triangle GFE - triangle GHJ, find the value of x.

Answer:

(x – 7)² – 9

Step-by-step explanation:

I hope this helps

Answer:

  30 inches

Step-by-step explanation:

Assuming the banner you want is similar to the sketch you made, the length of the banner is 10 times the letter height.

For 3-inch letters, the banner length will be 30 inches.

Answer:

30 ft

Step-by-step explanation:

**According to the image of the banner, the banner should be 3 foot high (not 3 inches)**

Create a ratio of letter height to length of phrase for the sketch and the banner.  Let x be the length of the banner.

NB There is no need to convert the measurements between inches and feet, since the letter height and length of phrase is measured in the same way for each banner.

Ratio:                      letter height : length of phrase

Sketch (in inches):                   2 : 20

Banner (in feet):                       3 : x

Equate the ratios and solve for x:

[tex]\sf \implies 2 : 20 = 3 : x[/tex]

[tex]\sf \implies \dfrac{2}{20}=\dfrac{3}{x}[/tex]

[tex]\sf \implies 2x=3 \cdot 20[/tex]

[tex]\sf \implies 2x=60[/tex]

[tex]\sf \implies x=\dfrac{60}{2}[/tex]

[tex]\sf \implies x=30[/tex]

Therefore the length of paper your should buy to make the banner is 30ft.

Answer: Find the volume of a rectangular prism whose length, width, and height are 8cm, 6cm, and 4cm, respectively. Therefore, the volume of a rectangular prism is 192 cm 3.

Answer:

(x-8) and (x+3)

Step-by-step explanation:

To find the binomials of the trinomial, we just need to factor in the trinomial.

First,

x² -5x - 24

Then split it, so the terms add to -5 and multiply to -24

x² +3x -8x - 24

Then factor x in the first part, and -8 in the second part.

x(x+3) - 8(x+3)

Factor again

(x-8)(x+3)

Answer:

Step-by-step explanation:

Factorize 24. When we add the factors, we have to get (-5) and we multiply we have to get (-24).

So, the factors are  3 and (-8)

When we add  3 +(-8) = -5  ; we multiply we get (-8)*3 =(-24)

Replace the middle terms with the factors.

x² - 5x - 24 = x² - 8x  + 3x - 24

                  = x(x - 8) + 3(x - 8)

                 = (x - 8)(x+3)

Divide total bought by number of people first:

680 / 45 = 15.111

round up to 16. Multiply 16 by 45:

45 x 16 = 720

He should have bought 720 pieces. Now by Tracy to find how many more pieces:

720 - 680 = 40

He should have bought 40 more pieces.

El monto total acumulado, capital más interés, con interés compuesto sobre un capital de $5,000.00 a una tasa de 5.15% anual compuesto 4 veces por año durante 1 año es $5,262.52.

Datos dados

A = P + I donde

P (principal) = $5,000.00

I (interés) = $262.52

Pasos de cálculo:

Primero, convierta R como un porcentaje a r como un decimal

r = R/100

r = 5,15/100

r = 0.0515 tasa por año,

Luego resuelve la ecuación para A

A = P(1 + r/n)^nt

A = 5000,00(1 + 0,0515/4)^(4)(1)

A = 5,000.00(1 + 0.012875)^(4)

A = $5,262.52

Obtenga más información sobre el interés compuesto aquí:

https://brainly.com/question/24924853

=============================================

First of all, let the number be u.

The product of 7 and u means you should multiply 7 times u:

[tex]\pmb{7u}[/tex]

Now, subtract 4:

[tex]\pmb{7u-4}[/tex]

This expression equals 17:

[tex]\pmb{7u-4=17}[/tex]

[tex]\rule{200}{2}[/tex]

[Now, let's Find the Value of u]

First, add 4 to both sides:

[tex]\pmb{7u=21}[/tex]

Now, divide both sides by 7:

[tex]\pmb{u=3}[/tex]

=======================================================

Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

(A) :

[tex]y = - \frac{5}{2} x + 40[/tex]

(B) : it is a decreasing linear graph. this means that the amount Shikita owes is lesser by $2.50 amount each week

Step-by-step explanation:

shown in the attatchment

Answer:

6*2=12

if length is 12 half it would be 36

Answer:

width = 6in

length = 12in

Step-by-step explanation:

If we call the width x, the length has to be 2x and so...

x + 2x + x + 2x = 36 (this can be simplified to ↓)

6x = 36 (if you divide both sides by 6...)

x = 6

This means that the width of the rectangle is 6in and so the length is 12in.

Hope this helps!

Answer:

cover an area of 404 area

Step-by-step explanation:

23*8+11*20=404(area)

Answer:

See below ↓

Step-by-step explanation:

We have a graph given to us.

⇒ Take the points to form an equation!

The points

Making an equation

Take two points

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{6-1}{4+2}=\dfrac{5}{6}[/tex]

Equation in point slope form

[tex]\\ \rm\rightarrowtail y-1=5/6(x+2)[/tex]

[tex]\\ \rm\rightarrowtail 6y-6=5x+10[/tex]

[tex]\\ \rm\rightarrowtail 6y=5x+16[/tex]

[tex]\\ \rm\rightarrowtail y=5/6x+8/3[/tex]

Answer: C. 6t

Step-by-step explanation:

T is unknown, but because you are only asked for the equation to figure out the total,  you simply multiply the 6 chairs per t, or table together, 6t

Answer:

8/9

Step-by-step explanation:

Answer:

its gonna be 212 fam

Step-by-step explanation:

Step-by-step explanation:

2× (4x-5y) = 21

3x+10y= -53

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

8x-10y = 42

3x+10y=-53

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

11x= -11

{x=-1}

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

3x+10y=-53

x=-1

3(-1)+10y=-53

-3+10y=-53

10y= -50

{y=5}

Answer: w * l

To find the area of a rectangle the formula used is width x length

Step-by-step explanation:

Answer:

$365.37

Step-by-step explanation:

add the hours up which is 20+19.5=39.5

then multiply by the wage 9.25 which is 39.5*9.25 which equals 365.375 and you cant round a penny up because its not possible in real life so your answer is just 365.37

Answer:

135 square yards

Step-by-step explanation:

9 yd   *   15 yd   =  (9 * 15) yd^2 = 135 yd^2

Answer:

the distance between df is just 2dj so i belive its 12.

Step-by-step explanation:

Answer:

5x+3

Step-by-step explanation:

[tex]\left[Thank\;you\;for\;Joining\;Brainly!][/tex]

Answer:

5x + 3

Step-by-step explanation:

[tex]2\left(4x+3\right)-3\left(x+1\right)[/tex]

[tex]\mathrm{Expand\;2(4x+3)}:8x+6[/tex]

[tex]=8x+6-3\left(x+1\right)[/tex]

[tex]\mathrm{Expand\;-3(x+1)}:-3x-3[/tex]

[tex]=8x+6-3x-3[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=8x-3x+6-3[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:6-3=3[/tex]

[tex]=8x-3x+3[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:8x-3x=5x[/tex]

[tex]=5x+3[/tex]

Hence, your answer is 5x + 3

[RevyBreeze]

Work Shown:

i = P*r*t

i = 3000*0.025*4

i = 300

Answer:

0.08 I hope this is right

Step-by-step explanation:

2/5 = 0.4÷5 = 0.08

Answer:

Step-by-step explanation:

Use KCF method

K - Keep the first fraction

C- change the operation ÷ to multiplication

F - Flip the second fraction

[tex]\textbf{$\dfrac{2}{5} \div 5$}=\dfrac{2}{5}*\dfrac{1}{5}\\\\\\=\dfrac{2}{25}[/tex]

Step-by-step explanation:

171 km/h

travel distance = 855 km

855 / 171 = 5 hours

it took him 5 hours to fly the 855 km (theoretically to the hospital).

normally, with a plane, you can't land on or at a hospital. you would need a helicopter to be able to do that.

so, he could only fly to a nearby airport, and then travel from there to the hospital. but we have no information about that.

Answer:

Width=28 1/3 Length=51 2/3

Step-by-step explanation:

1. Create an equation

x+(2x-5)=80

2. Solve

x+(2x-5)=80

3x-5=80

3x-5+5=80+5

3x/3=85/3

x=28 1/3

So, if x=28 1/3

85/3x2=170/3

56 2/3-5

So, Length=51 2/3

Answer:

551 calories

Step-by-step explanation:

Given the number of calories in each part of his food you can add:
300 + 101 +150
to equal the total amount of calories in his food, which would be:
551 calories
In conclusion, there would be a total of 551 calories if Alan's kid's meal.


Have a great rest of your day
#TheWizzer

The length of the radius of the mudel is 9 cm

[tex]By\ the\ topic[/tex]

[tex]The\ volume\ of\ the\ mudel\primes\ is\ 3052.08{\rm cm}^3[/tex]

[tex]Formula\ for\ the\ volume\ of\ the\ sphere\ is[/tex]

[tex]\frac{4}{3}\pi\ r^3[/tex]

[tex]\frac{4}{3}\pi\ r^3=3052.08[/tex]

[tex]\pi\ r^3=\frac{3}{4}\times3052.08=2289.06[/tex]

[tex]\gamma3=2289.06\div\pi[/tex]

[tex]\gamma=\sqrt{\frac{2289.06}{\pi}}\approx\sqrt{\frac{2289.06}{3.14}}+\sqrt{729}[/tex]

[tex]r=9cm[/tex]

[tex]7hus,\ the\ length\ of\ the\ vadius\ of\ eanth[/tex]

[tex]mudel\ is\ 9\ cm[/tex]

[tex]Application\ of\ the\ volume\ of\ the\ spheve?[/tex]

I hope this helps you

:)

Answer:

m∠N = 85°

Step-by-step explanation:

Properties of a parallelogram

Therefore,

m∠M + m∠N = 180°

⇒ 95° + m∠N = 180°

⇒ m∠N = 180° - 95°

⇒ m∠N = 85°

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

Additional calculations

m∠M = m∠P = 95°

m∠N = m∠L = 85°

MN = LP

ML = NP

Hello!

To solve this exercise, we must use the formula below:

[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]

Knowing these values, let's replace them in the formula to obtain r:

[tex]\mathrm{C=2\cdot 3.14 \cdot 14}\\\mathrm{C=6.28 \cdot 14}\\\\\boxed{\mathrm{C=87.92}}[/tex]

So, the circle's circumference is 87.92cm.

Hope this helps!

Answer:

Step-by-step explanation:

To solve this problem, you need to multiply the radius of a circle by the circumference formula.

Circumference formula:

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

[tex]\sf{C=2*\pi r}[/tex]

C=?

π= 3.14

r= 14

[tex]\sf{2*3.14*14}[/tex]

Solve.

[tex]\sf{2*3.14=6.28}[/tex]

[tex]\sf{6.28*14=\boxed{\sf{87.92}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.