DEF is a dilation image of ABC. What is the scale factor?

2

1/2

1/4

2/3

Answer:

Se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].

Step-by-step explanation:

A continuación, vamos a emplear las siguientes identidades trigonométricas:

[tex]\cos 2\alpha = \cos^{2} \alpha - \sin^{2}\alpha[/tex] (1)

[tex]\tan 2\alpha = \frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha}[/tex] (2)

Ahora aplicamos estas identidades a la identidad descrita en el enunciado:

[tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex]

[tex](\cos^{2}\alpha - \sin^{2}\alpha)\cdot \left(\frac{2\cdot \tan \alpha}{1-\tan^{2}\alpha} - \tan \alpha \right) = \tan \alpha[/tex]

[tex](\cos^{2}\alpha -\sin^{2}\alpha) \cdot \left[\frac{2- (1-\tan^{2}\alpha)}{1-\tan^{2}\alpha} \right]\cdot \tan\alpha = \tan \alpha[/tex]

[tex](\cos^{2}\alpha - \sin^{2}\alpha) \cdot \left[\frac{1+\tan^{2}\alpha}{1-\tan^{2}\alpha} \right] = 1[/tex]

[tex](\cos^{2}\alpha -\sin^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = 1 - \tan^{2}\alpha[/tex]

[tex]\cos^{2}\alpha \cdot (1-\tan^{2}\alpha)\cdot (1 + \tan^{2}\alpha) = (1-\tan^{2}\alpha)[/tex]

[tex]\cos^{2}\alpha \cdot (1+\tan^{2}\alpha) = 1[/tex]

[tex]\cos^{2}\alpha\cdot \sec^{2}\alpha = 1[/tex]

[tex]1 = 1[/tex]

Por tanto, se garantiza que [tex]\cos 2\alpha \cdot (\tan 2\alpha - \tan \alpha) = \tan \alpha[/tex].

Answer:

I will help ok ok heres ur answer

Answer:

KE=112 [tex]\frac{kg * m^{2} }{s^{2} }[/tex]

Step-by-step explanation:

Kinetic Energy (KE) = (1/2)*mass*v^2

KE=(1/2)*.14*40^2

KE=112 [tex]\frac{kg * m^{2} }{s^{2} }[/tex]

Answer:

Step-by-step explanation:

If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,

2x + 10 + 4x + 80 = 180 and

6x = 90 so

x = 15

Answer:

The base of a power is the factor that is repeatedly multiplied by itself.

Step-by-step explanation:

Let H = HCF(A,B) and L = LCM(A,B)

Then A*B = L*H

Here L*H = 100*5 = 500

Also H <= A ,B <= L

So we need to find all A*B = 500, satisfying the above condition. This can be done using prime factorisation of 500.

Here 500 = 2^2 * 5^3

so possible values of A and B are

1 , 500

2, 250

4, 125

5,100

10,50

20,25

(assuming order doesn’t matter.)

so pairs satisfying given condition are → (20,25) and (100,5)

You can write a computer program in language of your choice to do it for other bigger numbers.

Answer:

Total cost of meal = $188.60

if he paid 15% and left 15% altogether =15%+15%

=30%

Hence,the total cost will be

= $188.60 * 30/100

=$56.58

I hope this helps

Answer:

x = -3

Step-by-step explanation:

This is a vertical line.  The x value remains constant.

x = -3

Answer:

x= 5.45 or -5.45

Step-by-step explanation:

Answer:

25, 32, 40 can not form a right angle triangle.

Step-by-step explanation:

By Pythagoras theorem,

⇒ (40)² = (25)² + (32)²

⇒ 1600 = 625 + 1024

⇒ 1600 ≠ 1689

Answer:

you will subtract the power

Surface area of cubic= 2( lb+bh+hl)

Length= 18 cm

Width= 5 cm

Height= 2cm

[tex]s.a = 2(18 \times 5 + 5 \times 2 + 2 \times 18) \\ = 272 \: cm {}^{2} [/tex]

Given:

Depart 2:30 pm PST

Arrive 7:20 pm CST

To find:

The total travel time

Solution:

We know that time in CST is 2 hours more than the time in PST

Depart time = 2:30 pm PST

Convert this time in CST.

Depart time = (2:30+2:00) pm CST

                    = 4:30 pm CST

We have,

Arrive time = 7:20 pm CST

The total travel time is the difference between 7:20 pm CST and 4:30 pm CST.

7:20 pm - 4:30 pm = 2 hr 50 min

The total travel time is 2 hr 50 min.

Therefore, the correct option is D.

Answer:

B and D

Step-by-step explanation:

Answer:

m∠GDE

alternate interior angles

Answer:

When you solve for y, you get y = 20.

Step-by-step explanation:

You isolate the variable by dividing each side of the equation by the number with the variable, therefore getting 20.

[tex]\longrightarrow{\green{d.\:y\:=\:20}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➝[tex]\:56 = 2.8y[/tex]

➝[tex]\:y = \frac{56}{2.8} [/tex]

➝[tex]\:y = 20[/tex]

Therefore, the value of [tex]y[/tex] is 20.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

➝[tex]\:56 = 2.8y[/tex]

➝[tex]\:56 = 2.8 \times 20[/tex]

➝[tex]\:56 = 56[/tex]

➝[tex]\:L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

Doughnuts are sold in bags and cartons

A bag holds four doughnuts and a carton holds ten doughnuts

Tom buys B bags of doughnuts and C cartons of doughnuts

He buys a total T doughnuts

Writs down a formula for T in terms of B and C

Step-by-step explanation:

Doughnuts are sold in bags and cartons

A bag holds four doughnuts and a carton holds ten doughnuts

Tom buys B bags of doughnuts and C cartons of doughnuts

He buys a total T doughnuts

Writs down a formula for T in terms of B and C

Answer:

2x+15y=2960

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

who is the captain of the football team

Step-by-step explanation:

i might be wrong i havent taken a class that neads this, but all the others need a bunch of values from a group of people. this is just asking who someone is

Answer:

The conclusion is wrong

Step-by-step explanation:

The following steps are given

[tex]5(x-2)-3x=2(x-3)-16[/tex]

[tex]5x-10-3x=2x-6-16[/tex]

[tex]2x-10=2x-22[/tex]

[tex]-10=-22[/tex]

Required

The error

Going through the steps, we can see that there are no mistakes in any of the step.

However, the conclusion that there are infinitely many solutions is wrong

because the solution actually has no solutions.

Answer:

no solutions

I believe

hope I helped

Step-by-step explanation:

Answer:

-5/ 3

Step-by-step explanation:

solving 2a - b

= (2 × 2) - (-1)

= 4 + 1

= 5

solving (2a - b)/ c

= 5/ (-3)

= -5/ 3

that is the third option

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]

6.) Detemine the value of [tex] \sf{(2a - b) \div c.}[/tex]

[tex] \huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]

[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]

[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶(2a- b)÷c}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶(2(2)-(-1))÷(-3)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶(4-(-1))÷(-3)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶4+1÷(-3)}[/tex]

[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ - \frac{5}{3} }}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad\quad\underline{ \boxed{ \sf{ \red{ - \frac{5}{3} }}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

Answer:

EQUATION:  24 + 3X = 27. INEQUALITY: 2X - 6 < 18.

Step-by-step explanation:

For the equation:

"A number" means that we do not know what the number is yet. So it is a variable. I chose the variable, "X."

"The SUM of 24 AND" means we are adding 24 to something. So what we have so far is "24 + ..."

"3 times a number" means we are multiplying 3 by the unknown variable X. So 3X. What we have so far is "24 + 3X..."

"is 57" means that everything we've just stated equals 57.

Our entire equation is: 24 + 3x = 27.

For the inequality:

Inequalities mean that two expressions are NOT equal to each other.

"6 less than" means that we subtract 6. So we have,"6 - ..." so far.

"Double a number" means 2 times a number, which we are saying is X. So "2X."

" is less than 18" means that everything we just said is less than the value of 18.

So the whole inequality is: 2X - 6 < 18.

Answer:

140

Step-by-step explanation:

40 divided by 16 = 2.5 .  350 divided by 2.5=140 hope this helped

Answer:

(3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 18

y = -5x + 9

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

x=3

y = -6

Step-by-step explanation:

y = 4x – 18

y = -5x +9

Set the two equations equal

4x – 18 = -5x +9

Add 5x to each side

4x – 18 +5x= -5x+5x +9

9x -18 = 9

Add 18 to each side

9x -18 +18 = 9+18

9x =27

Divide by 8

9x/9 = 27/9

x = 3

Now find y

y = 4x-18

y = 4*3 -18

y =12-18

y = -6

Answer:

-1/3

Step-by-step explanation:

at x=0 y= 5

at x=3 y= 4

y=ax+b

b= 5

4=3x+5

3x= -1

x= -1/3

[tex]y = - \frac{x}{3} + 5[/tex]

Answer:

a) The area of the triangle AQB is 43 square centimeters.

b) The length of the line segment AQ is approximately 14.866 centimeters.

Step-by-step explanation:

a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:

[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]

[tex]A = 43\,cm^{2}[/tex]

The area of the triangle AQB is 43 square centimeters.

b) The length of the line segment AQ is determined by Pythagorean Theorem:

[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)

[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]

[tex]AQ \approx 14.866\,cm[/tex]

The length of the line segment AQ is approximately 14.866 centimeters.

Answer:

$2419

Step-by-step explanation:

week2 - (week1 + week3) = difference

28473 - (13674 + 12380) = 2419

Answer:

6 percent

Step-by-step explanation:

None

Given:

The linear equation is:

[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]

To find:

The general form of the given linear equation.

Solution:

The general form of a line is equation is:

[tex]Ax+By=C[/tex]

We have,

[tex]y+6=-\dfrac{5}{2}(x+4)[/tex]

Multiply both sides by 2.

[tex]2(y+6)=-5(x+4)[/tex]

[tex]2(y)+2(6)=-5(x)-5(4)[/tex]

[tex]2y+12=-5x-20[/tex]

Isolating variable terms, we get

[tex]2y+5x=-20-12[/tex]

[tex]5x+2y=-32[/tex]

Therefore, the general form of the given linear equation is [tex]5x+2y=-32[/tex].

Step-by-step explanation:

[tex] {13}^{2} = {6.5}^{2} + {x}^{2} \\ {x}^{2} = 126.75 \\ x = 11.2[/tex]

Answer:

11.3 cm

Step-by-step explanation:

since this is an equilateral triangle it's every sides are equal

side length (a) = 13 cm

formula to calculate the height of equilateral triangle is

h = [tex]a *\frac{\sqrt{3} }{2}[/tex]

=[tex]13 * \frac{\sqrt{3} }{2}[/tex]

=[tex]\frac{13\sqrt{3} }{2}[/tex]

=11.25

=11.3