Given: ABCD is a parallelogram GEC ∠GEC≅∠HFA and AE ≅ FC .
Prove: △GEC≅△HFA.

Answer:

12

Step-by-step explanation:

30*(100-60)/100

30*4/10

3*4

12

sale price =12 (answer) this means the cost of the item to you is 12$. you will pay 12$ for a item with original price of 30$ when discounted 60% off 30%

Answer:

Ellie has 4000 milliliters of punch.

Answer:

The answer to this question is 60degree

y'' + 5y' + 6y = 0

has characteristic equation

r² + 5r + 6 = (r + 2) (r + 3) = 0

with roots at r = -2 and r = -3, hence the differential equation's characteristic solution is

[tex]y(t) = C_1 e^{-2t} + C_2 e^{-3t}[/tex]

Given that y(0) = 1 and y'(0) = 2, we have

[tex]y(t) = C_1 e^{-2t} + C_2 e^{-3t} \implies 1 = C_1 + C_2[/tex]

[tex]y'(t) = -2C_1 e^{-2t} - 3C_2 e^{-3t} \implies 2 = -2C_1 - 3C_2[/tex]

and solving the resulting system of equations yields C₁ = 5 and C₂ = -4.

So the particular solution to the ODE is

[tex]\boxed{y(t) = 5 e^{-2t} - 4 e^{-3t}}[/tex]

Answer:

x = 15/8

Step-by-step explanation:

Let x = unknown number

Given:

some number minus -15 is equal to the product of the number and 9

⇒ x - -15 = x · 9

⇒ x + 15 = 9x

⇒ 15 = 9x - x

⇒ 15 = 8x

⇒ x = 15/8

Answer:

15/8

Step-by-step explanation:

Let's assume that the number is 'n'. Provided that number 'n' minus -15 is equal to the product of the number 'n' and 9. Simply jot down the above statement in mathematical form:

[tex] \implies\:\sf{\red{n \: - \: ( - 15) \: = \: n \: \times \: 9}}[/tex]

Now, simply solve the above equation.

[tex]\implies\:\sf{n \: + \: 15 \: = \: 9n}[/tex]

Take the like terms on one sides.

[tex]\implies\:\sf{9n \: - \: n \: = \: 15}[/tex]

Do the rest calculations.

[tex]\implies\:\sf{8n \: = \: 15}[/tex]

[tex]\implies\:\sf{\red{n \: = \: \dfrac{15}{8}}}[/tex]

Hence, the required value of n is 15/8.

Answer:

The answer isn't listed in your options, are you sure you didn't make any typos?

Step-by-step explanation:

29*63=1,827

Answer:

5.4

Step-by-step explanation:

x2-12x+36 = 90

=> 2x - 12x + 36 = *90

=> 2x - 12x = 90 - 36

=> -10x = 54

=> (-10x)/-10 = (54)/-10

=> x = 5.4

Answer: y=25x

Step-by-step explanation:

Answer:

0, 3, -6, 7

Step-by-step explanation:

x(x − 3)(x + 6) (x – 7) = 0

so x = 0

or x - 3 = 0, x = 3

or x + 6 = 0, x = -6

or x - 7 = 0, x = 7

Answer: 0, 3, -6, 7

Answer:

Step-by-step explanation:

if we draw diameter through A and let it meet the circumference at D .

Let O be the center.

∠DAC=90-40=50°

∠DOC=2×50=100°

arc ABD=180°

arc ABC=180+100=280°

Answer:

Simplest form is 35.

35*35=1225

Answer:

X

Step-by-step explanation:

[tex]36 {}^{x} (6 {}^{x - 2} )[/tex]

[tex]36 {}^{x} ( \frac{6 {}^{x} }{6 {}^{2} } )[/tex]

[tex]36 {}^{x} ( {6}^{x} ) \frac{1}{6 {}^{2} } [/tex]

[tex]6 {}^{2} (6 {}^{x} )6 {}^{ - 2} [/tex]

[tex]6 {}^{x} [/tex]

F(x)=x.

Answer: f (x) = 3x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

this involves any number that when subtracted or added it gives each other the values of the family

7 + 6 equals 13, 13 - 6 equals 7,

please mark me brainiest

^_^

Answer:

7+6=13 6+7=13 13-6=7 13-7=6 7+6=13 13=7+6 13-6=7 7=13-6b

Step-by-step explanation:

I studied. :)

Step-by-step explanation:

Let first find the x and y xomponets.

X componets is 8 and the y componets is -7 so

[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

[tex]r = \sqrt{ 64 + 49} [/tex]

[tex]r = \sqrt{113} [/tex]

[tex] \csc(x) = \frac{r}{y} [/tex]

So

[tex] \csc(x) = - \frac{ \sqrt{113} }{ 7} [/tex]

Answer:

hi Abdulaziz how are you how is school do you work hard

Lily needs at least 162 flowers for her 18 bouquets.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Lilly uses 9 flowers in each bouquet and she needs flowers for at most 18 bouquets.

Therefore, The number of flowers she needs can be obtained by multiplying the number of bouquets and the number of flowers in each bouquet which is,

= 9×18.

= 162 flowers.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

768$

Step-by-step explanation:

I multiplied 24$ times 32.

Answer: Your answer is 3.53 as a Decimal.

Hope this helps!

Answer:

3.53

Step-by-step explanation:

If you have been wondering what is 353% in decimal form, or if you have been looking for how to change 353% to decimal, then you are definitively right here.

353%, 353 pct and 353 percent all mean 353 by the hundred. 353 percent as a decimal equals:

353% as a decimal = 3.53

353 percent as a decimal = 3.53

[tex]\begin{array}{cll} term&\stackrel{u_n+u_{n-1}+1}{value}\\ \cline{1-2} u_1&1\\ u_2&3\\ u_3&\stackrel{u_n}{3}+\stackrel{u_{n-1}}{1}+1\\ &5\\ u_4&\stackrel{u_n}{5}+\stackrel{u_{n-1}}{3}+1\\ &9\\ u_5&\stackrel{u_n}{9}+\stackrel{u_{n-1}}{5}+1\\ &15 \end{array}[/tex]

in recursive sequence notation, is another way of saying
"the next term will be the current one plus the one before it, plus one"

Answer:

i believe the answer is 9.1

Step-by-step explanation:

6.5 x 40% or in other words .4 is 2.6.

then you add 2.6 to 6.5 and that gives you 9.1

Answer: 108

Step-by-step explanation: Let the total number of sweets be x

Therefore, Anna  - (x/3)+8

After Anna, remaining amount is x - ((x/3)+8) = 2x/3 + 8

Betty took (2x/3 + 8)/2 + 18 = x/3 + 22

Remaining = x - ((x/3)+8) - (x/3 + 22) = x/3 -30

Candy took the rest which is 6 i.e.

x/3 - 30 = 6

x/3 = 36

x = 108

Answer:

0.8

Step-by-step explanation:

Convert 71/100 into a decimal

.71

0.8 > .71

Presumably, the first limit is some finite number

[tex]\displaystyle \lim_{x\to\pi} \frac{f(x)}{x-\pi} = c[/tex]

Since x - π clearly approaches 0 as x approaches π, we must also have f(x) approaching 0,

[tex]\displaystyle \lim_{x\to\pi} f(x) = 0[/tex]

Recall the double angle identity,

sin(2t) = 2 sin(t) cos(t)

and rewrite the limit as

[tex]\displaystyle \lim_{x\to\pi} \frac{\sin(2 f(x))}{x - \pi} = \lim_{x\to\pi} \frac{2 \sin(f(x)) \cos(f(x))}{x - \pi} = 2 \lim_{x\to\pi} \frac{\sin(f(x))}{f(x)} \times \frac{f(x) \cos(f(x))}{x - \pi}[/tex]

Recall that

[tex]\displaystyle \lim_{x\to0}\frac{\sin(x)}x=1[/tex]

which means

[tex]\displaystyle \lim_{x\to\pi}\frac{\sin(f(x))}{f(x)} = \lim_{f(x)\to0}\frac{\sin(f(x))}{f(x)} = 1[/tex]

and by continuity,

[tex]\displaystyle \lim_{x\to\pi} \cos(f(x)) = \cos\left(\lim_{x\to\pi} f(x)\right) = \cos(0) = 1[/tex]

Then

[tex]\displaystyle 2 \lim_{x\to\pi} \frac{\sin(f(x))}{f(x)} \times \frac{f(x) \cos(f(x))}{x - \pi} \\\\ = 2 \left(\lim_{x\to\pi}\frac{\sin(f(x))}{f(x)}\right) \left(\lim_{x\to\pi} \frac{f(x)}{x-\pi}\right) \left(\lim_{x\to\pi}\cos(f(x))\right) \\\\ = 2 \times 1 \times c \times 1 = \boxed{2c}[/tex]

Answer:

6

Step-by-step explanation:

6 in hundred thousands place

Answer:

Six is the correct answer.

Answer:

~Male Y/n here~ I think that your A will be 77 feet in distance and your B would be 25 feet above ground.

(Hope this helps!)

Answer:

the answer is 48.139 in²

Step-by-step explanation:

I took the test.

48.139 in² of the figure area is painted yellow in color.

An area is amount of space occupied by a two dimensional shape or object.

The area of the figure = Area of the square + Area of the triangle

Area of the figure = (7 in * 7 in) + (1/2) * (12 * 7) = 91 in²

Since 52.9% of the area is painted yellow, hence:

Area painted yellow = 52.9% of 91 = 48.139 in²

48.139 in² of the figure area is painted yellow in color.

Find out more on area at: https://brainly.com/question/25292087

The profit function of the company is the difference between the cost and the revenue functions of the company

The given parameters are:

C(x) = 60x + 300 --- the cost function

R(x) = 100x - 0.5x^2 ---- the revenue function

The profit function is calculated as:

P(x) = R(x) - C(x)

So, we have:

[tex]P(x) = 100x - 0.5x^2 - 60x - 300[/tex]

Rewrite as:

[tex]P(x) = - 0.5x^2 + 100x - 60x - 300[/tex]

[tex]P(x) = - 0.5x^2 + 40x - 300[/tex]

This means that the expression of the profit function is [tex]- 0.5x^2 + 40x - 300[/tex]

This means that:

P(x) = 50

So, we have:

[tex]- 0.5x^2 + 40x - 300 = 50[/tex]

Subtract 50 from both sides

[tex]- 0.5x^2 + 40x - 350 = 0[/tex]

Multiply through by -2

[tex]x^2 - 80x + 700 = 0[/tex]

Expand

[tex]x^2 - 70x - 10x + 700 = 0[/tex]

Factorize

[tex]x(x - 70) - 10(x - 70) = 0[/tex]

Factor out x - 70

[tex](x - 10)(x - 70) = 0[/tex]

Solve for x

x = 10 or x = 70

Hence, the two values of x that creates a profit of $50 are x = 10 and x = 70

Read more about profit functions at:

https://brainly.com/question/19104371

Answer:

55

Step-by-step explanation:

[tex]3x-2(6-x)=7x+2(5+x)-6\\3x-12+2x=7x+10+2x-6\\5x-12=9x+4\\-4x = 16\\x = -4[/tex]

Hope that helps!

Answer:

x=-4

Step-by-step explanation:

when you are done, you can search this problem and figure out the 13 steps there are.