What is the equation for the line of symmetry in this figure?

Answer:

The answer is

Step-by-step explanation:

9(p-4)=-18

First expand the terms in the bracket

that's

9p - 36 = - 18

Group like terms

Send the constants to the right side of the equation

That's

9p = - 18 + 36

9p = 18

Divide both sides by 9

That's

9p/9 = 18/9

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

[tex] \mathsf{9(p - 4) = - 18}[/tex]

Distribute 9 through the parentheses

[tex] \mathsf{9p - 36 = - 18}[/tex]

Move constant to R.H.S and change it's sign

[tex] \mathsf{9p = - 18 + 36}[/tex]

Calculate

[tex] \mathsf{9p = 18}[/tex]

Divide both sides of the equation by 9

[tex] \mathsf{ \frac{9p}{9} = \frac{18}{9} }[/tex]

Calculate

[tex] \mathsf{p = 2}[/tex]

[tex] \mathcal{Hope \: I \: helped}[/tex]

[tex] \mathcal{Best \: regards}[/tex]

Answer:

£22.40

Step-by-step explanation:

60% of 12 is 7.2 (you can also write it as 7.20) so you times that by 2 to get 14.4 (you can also write it as 14.40) and [tex]\frac{1}{3}[/tex] of 24 is 8, so you add that to the 14.4 and you get 22.4 (also writen as 22.4) hope this helps!

Answer:

a. La ganancia es de $ 4,060,000.00

b. 31 vehículos

Step-by-step explanation:

(a) Los parámetros dados son;

El número de automóviles tipo sedán fabricados = 24

El número de camiones tipo SUV fabricados = 16

El número de camiones tipo VAN fabricados = 12

El número de camionetas pick-up fabricadas = 8

El número de autos deportivos fabricados = 2

La ganancia por la venta de autos tipo sedán = $ 185,000 - $ 140,000 = $ 40,000

La ganancia por la venta de camionetas tipo SUV = $ 320,000 - $ 250,000 = $ 70,000

La ganancia por la venta de camiones tipo VAN = $ 400,000 - $ 310,000 = $ 90,000

La ganancia por la venta de las camionetas pick-up = $ 285,000 - $ 210,000 = $ 75,000

La ganancia por la venta de los autos deportivos = $ 550,000 - $ 400,000 = $ 150,000

La ganancia = 24 * $ 40 000 + 16 * $ 70 000 + 12 * $ 90 000 + 8 * $ 75 000 + 2 * $ 150 000 = $ 4060 000

(b) Por lo que hay una tasa de producción constante, solo la mitad de los automóviles se producirán dentro del período de 12 horas

Por lo tanto, tu fabricado

12 autos sedán, 8 camionetas tipo SUV, 6 camionetas tipo VAN, 4 camionetas pick-up y 1 auto deportivo para hacer un total de 31 vehículos.

Answer:Answer:

[tex]\sum\left {{7} \atop {1}} \right -n(3+n)[/tex]

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as [tex]S_n = \frac{n}{2}[2a+(n-1)d][/tex]

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

[tex]S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70[/tex]

The sum of the nth term of the sequence will be;

[tex]S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)[/tex]

The sigma notation will be expressed as [tex]\sum\left {{7} \atop {1}} \right -n(3+n)[/tex]. The limit ranges from 1 to 7 since we are to  find  the sum of the first seven terms of the series.

Answer:

(C) [tex]y = 2x+5[/tex]

Step-by-step explanation:

Looking at this graph, we can see that the slope of it is 2. We know this because for every time x increases by 1, y increases by 2.

We also know that the y-intercept of this graph is 5, since it intercepts the y-axis at the value 5.

We can easily create an equation with this info.

[tex]y = 2x + 5[/tex].

Hope this helped!

Answer:

C. y= 2x+5

Step-by-step explanation:

y=mx+b

(+b) is y- intercept

(mx) is the slope.

plot the y- intercept first which the line starts at (0,5)

since the slope isn't a fraction you turn it into one which would be

[tex] \frac{2}{1} [/tex]

Answer:

May-June

Step-by-step explanation:

Notice that:

● during April-May period the Badminton memberships rate of increase is greather then Swimming's since the graph of Badminton is showing a faster increase.

● During June-July period, both functions are decreasing so this period does not satisfy our condition.

● During May-June The Swimming memberships growed faster than Badminton's so its rate of increase is greather than Badminton's.

● during August-September period, The swimming memeberships are increasing slower than Badminton's

So the answer is May-June

Answer:

May-June

Step-by-step explanation:

Answer:

C. Point A lies on ray BC

Step-by-step explanation:

Points A and C can be connected by a segment which would be a measure of the distance between the points. Locating point B between AC, makes the three points lying on segment AC.

A ray extends from a point to infinity, a line extend to infinity on both sides, while a segment is known to have two endpoints. Therefore, points AC are the end points of the segment AC, and point B between this segment confirms that point B lies on the segment AC. Therefore, Point A lies on ray BC is not correct.

Answer:

Step-by-step explanation:

Before we choose all the expression that is equal to -9, we must understand that the modulus of a value can return both its positive and negative value. For example, Modulus of b can either be +b or -b i.e |b| = +b or -b

Hence the following expression are all equal ro -9

a)  |−9| is equivalent to -9 because the absolute value of -9 i.e |−9| can return both -9 and 9

b)  −|−9| is also equivalent to -9. The modulus of -9 is also equal to 9, hence negating 9 will give us -9. This shows that  −|−9| = −|9| = −9

c)  −|9| is also equivalent to -9. This has been established in b above.

Answer: -|-9|, -|9|, and the opposite of nine

Step-by-step explanation: The absolute value symbol is | |. |-9| is 9 but add that - to it and it's -9. The absolute value of 9 is 9, add the - to it to get -9.

the opposite of 9 is -9.

Answer: You are correct, it is the second option.

Step-by-step explanation:

Volume of a cylinder formula is: pi*r^2*h. The diameter is 6 and the radius is half the diameter so we get r=3. The height is 10 inches, so h=10. pi(3)^2(10) is the volume of the vase.

Volume of a sphere (marbles) formula is: 4/3*pi*r^3

The marbles have a diameter of 3 so 3/2=1.5. r=1.5.

The volume of the marbles is 8(4/3*pi*1.5^3).

Then you subtract the volume of the marbles from the volume of the vase to find the volume of the water in the vase.

pi(3)^2(10) - 8(4/3pi(1.5)^3)

Hope this helps. :)

Answer:

You are absolutely correct, second option is the correct answer.

Step-by-step explanation:

Diameter of vase = 6 inches

Therefore, radius r = 3 inches

Diameter of marbles = 3 inches

Radius of marbles = 1. 5 inches

Height of water h = 10 inches

Volume of water in the vase = Volume of vase - 8 times the volume of one marble

[tex] = \pi r^2h - 8\times \frac{4}{3} \pi r^3 \\\\

= \pi (3\: in) ^2(10\: in) - 8( \frac{4}{3} \pi (1.5\: in) ^3) \\\\[/tex]

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Answer:

D. 9

Step-by-step explanation:

Let

abc=100a+10b+c

bca=100b+10c+a

cab=100c+10a+b

abc + bca + cab=(100a+10b+c) + (100b+10c+a) + (100c+10a+b)

=100a + 10b + c + 100b + 10c + a + 100c + 10a + b

Collect like terms

=100a + a + 10a + 10b + 100b + b + c + 10c + 100c

=111a + 111b + 111 c

Factorise

=111(a+b+c)

abc + bca + cab = 111(a+b+c)

Factors of 111(a+b+c)= 1, 3, 37, 111, and (a+b+c)

abc + bca + cab is divisible by a+b+c because it is a factor of 111(a+b+c)

abc + bca + cab is divisible by 3 because 3 is a factor of 111(a+b+c)

abc + bca + cab is divisible by 37 because 37 is a factor of 111(a+b+c)

abc + bca + cab is not divisible by 9 because 9 is not a factor of 111(a+b+c)

[tex] x^3+x^2+2x+2[/tex]

$x^2(x+1)+2(x+1)=(x^2+2)(x+1)$

Answer:

Step-by-step explanation:

x³ + x² + 2x + 2 = x²(x + 1) + 2(x+1)

                        = (x + 1) (x² + 2)

Step 1:

62cm - (25*2)=12cm

62-25=37cm

Length for both sides 25

Width=37cm=x

Answer:

y = 6x - 2

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that:

m = slope = 6

b = y-intercept = -2

x = (x , y)

y = (x , y)

Plug in the corresponding numbers to the corresponding variables:

y = 6x + (-2)

y  = 6x - 2

y = 6x - 2 is your answer.

~

Answer:

y = 6x-2

Step-by-step explanation:

The slope intercept equation  form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 6x-2

Answer:

Step-by-step explanation:

AO = CO = radius

AO = CO  ⇒  AB = BC  and  m∠AOB = m∠BOC = ¹/₂m∠AOC

From BDOE:

m∠EOB + m∠OBC + m∠CDE + m∠DEO = 360°

(65° + 75°) + 90° + x + 90° = 360°

140° + 180° + x = 360°

x = 40°

Answer:

12t+7w=D

t+w=110

Step-by-step explanation:

12t= $12 made every tutor hour

7w= $7 made every waiter hour

D= total dollars made

t+w=110 is the tutor hour and the waiter hour adding together

Answer:

12t + 7y = x

      or

5t + 770 = x

Step-by-step explanation:

12t + 7y = x

t = number of hours he worked as a tutor

y = number of hours he worked as a waiter

x = the total amount of money he earned

t + y = 110

=> y = 110 - t

=> 12t + 7(110 - t) = x

=> 12t + 770 - 7t = x

=> 5t + 770 = x

Answer:

2y+6x=180

Step-by-step explanation:

Because we know that side lengths BD, DC, and AD are all congruent, we can conclude that triangles BDA and CDA are congruent because they have at least two congruent sides. Since these triangles are both 45-45-90 triangles, angle C is equal to 45 degrees, or 3x. 45/3 is 15, so x=15. Angle B is equal to 45 degrees, or y, so y=45.

From there, we plug these numbers into the equation with 2(45) + 6(15), or 90+90 = 180.

[tex](2n+1)^2=4n^2+4n+1[/tex] therefore, the first blank is 1.

[tex]4n^2+4n+1=2(2n^2+2n)+1[/tex] therefore, the two other blanks are both 2.

The number in the proof ''The square of the sum of two consecutive integers is odd'' is 2 and 2.

To prove that, The square of the sum of two consecutive integers is odd.

The expression to prove is,

Let us assume that two consecutive integers are n and (n + 1).

Hence, the expression is written as,

[n + (n + 1)]² = (2n + 1)²

= (2n)² + 2 × 2n × 1 + 1²

= 4n² + 4n + 1

= 2 (2n² + 2n) + 1

= odd

Therefore, the number in the blanks are 2 and 2.

To learn more about the Number system visit:

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Answer:

Answer choices A, B and C identifies the relevant information in the problem

Step-by-step explanation:

Sarah left the house at 12:15 pm

She spent $42.20 on two books for her children

She spent $5.67 on a toy for her dog

Sarah arrived home at 1:00 pm

How much did Sarah spent on each book?

If she spent $42.20 on two books for her children,

Then, it means she has two children and the book cost $21.10 each

Answer choices A, B and C identifies the relevant information in the problem

Answer:

its A all the other one dont make sence sorry if im wrong but i got it right on my test

Step-by-step explanation:

Answer:

each angle is less than 90 degrees. angle 1+angle2=90 degrees

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

This is how you prove it.

<B and <F are given as congruent.

This is 1 pair of congruent angles for triangles ABC and GFE.

<DEC and <DCE are given as congruent.

Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.

This is 1 pair of congruent angles for triangles ABC and GFE.

Now you need another side to do either AAS or ASA.

Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.

Now you have 1 pair of included sides congruent ABC and GFE.

Now using ASA, you prove triangles ABC and GFE congruent.

Answer:

ray df or ray fd because both of these letters are consecutive in both of the angles.  

Step-by-step explanation:

Answer:

Answer is Ray FD

Step-by-step explanation:

Given the following angles, what ray is the common side of ∠CFD and ∠DFE?

A. Ray FC

B. Ray FE

C. Ray FD

Answer:

C (1,11) and (-1,-5)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

First we need to distribute the -4.

-6x+20+4x=26

-2x+20=26

subtract 20 on both sides

-2x=6

divide out -2

x=-3

Step-by-step explanation:

log54 = log(2×3³)

= log2 + log3³

= log2 + 3log3

Answer:

Felipe = 23 messages

Keisha = 31 messages

Manuel = 46 messages

Step-by-step explanation:

Keisha = K

Felipe = F

Manuel = M

=> There are a total of 100 messages.

=> K sent 8 +F => K = 8 + F

=> M sent 2 * F => M = 2F

=> F = F

=> 8 + F + 2F + F = 100

=> 8 + 4F = 100

=> 8 - 8 +4F = 100 -8

=> 4F = 92

=> 4F/4 = 92/4

=> F = 23

So, Felipe = 23 messages.

      Keisha = 8 + F = 8 + 23 = 31 messages.

      Manuel = 2F = 2* 23 = 46 messages.

46 + 31 + 23 = 77 + 23 = 100 messages.

So, the answer is correct.

Answer:

It should be 490000.0005

Step-by-step explanation:

4.9*10^5+.0005

10^5=100000

4.9*100000=490000

490000+.0005=490000.0005

Answer:

Step-by-step explanation:

[tex]10^{-5}=\frac{1}{10^{5}}=\frac{1}{100,000}=0.00001\\\\[/tex]

4.9* 10^-5 +0.0005 = 4.9 * 0.00001  + 0.0005

                               = 0.000049 + 0.0005

                              =  0.000549

Answer:

Option a.

Step-by-step explanation:

In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.

Opposite side of right angle is hypotenuse. So, CB is hypotenuse.

From figure it is clear that CA is shorter that segment BA.

All angles are congruent to itself. So angle C is congruent to itself.

We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.

So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.

Therefore, the correct option is a.

Answer:

-7/2

Step-by-step explanation:

cuz thats right

Answer:

The correct option is;

SSS congruency theorem

Step-by-step explanation:

Given that opposite sides of a parallelogram are equal, whereby side AB is congruent to side CD and  side BC is congruent to side DA and also that side AC is congruent to side CA, we have;

Triangle ABC with sides AB, BC, and AC is congruent to triangle CDA with corresponding sides CD, DA, and CA, by the Side-Side-Side (SSS) rule of congruency (two or more triangles that have all three sides of one triangle congruent to the three sides of the other triangle are congruent).

The missing reason in the proof is: SSS Congruence Theorem.

Thus, ΔABC and ΔCDA has been shown to have three pairs of congruent sides, therefore, the missing reason in the proof is: SSS Congruence Theorem.

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