The vertices of ΔGHI are G (2, 4), H (4, 8), and I (8, 4). The vertices of ΔJKL are J (1, 1), K (2, 3), and L (4, 1). Which conclusion is true about the triangles?
They are congruent by the definition of congruence in terms of rigid motions.
They are similar by the definition of similarity in terms of a dilation.
The ratio of their corresponding sides is 1:3
The ratio of their corresponding angles is 1:3.

Answer:

The awnser is A or -7/5

Step-by-step explanation:

you have to put the points into the formula y²-y¹/x²-x¹ (this is a fraction the y part is on top and the x part is on the bottom) then you need to plug in the numbers so it would look like 5-(-2)/-2-3. then you would add 5+2 since that is what -(-) means. then you would take 2+3 as -2-3. so the awnser would be -7/5.

Hope this helps

Answer:

Right of X = 635.5

Step-by-step explanation:

By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.

According to the rule of continuity;

P(X ≤ k) becomes  P( X ≤ K + 0.5)

P(X < K) becomes P(X < K - 0.5)

P(X ≥ K) becomes P(X ≥ K - 0.5)

P(X > K) becomes P(X > K + 0.5)

P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)

From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.

Then we use the > sign.

∴

P(X > K ) becomes P(X > K + 0.5)

P(X > 635) becomes P(X > 635 + 0.5)

⇒ P(X > 635.5) tot the right.

Right of X = 635.5

Answer:

232/15 [as an improper fraction] or 15 7/15 [as a mixed fraction]

Explanation:

16 - 8 / 15 =

(16) - (8 / 15) =

((16 × 15) / 15) - ((8) / 15) =

((240) / 15) - ((8) / 15) =

(240 - 8) / 15 =

232 / 15 =

15 7/15

The given expression is :

2xx+3-5(x-2)

We know that, [tex]x{\cdot}x=x^2[/tex]

[tex]=2x^2+3-5(x-2)\\\\=2x^2+3+(-5)(x)+(-5)(-2)\\\\=2x^2+3-5x+10[/tex]

Aleena expands 2xx+3-5(x-2) as 2x²+3-5x-10. She is mistaken because the sign before 10 should be +10 instead of -10. Hence, the correct expanded form is 2x²+3-5x+10. Hence, this is the required solution.

Answer:

165

Step-by-step explanation:

Answer: 165

Step-by-step explanation:

Answer:

Step-by-step explanation:

n is the number of times the interest is compounded, so just figure out stuff like monthly and annually mean. (ex. since annually means once a year, n = 1)

Answer:

2.1 gallons

Step-by-step explanation:

Let V = volume of 20 % hydrogen peroxide = 5 gallons, V₁ = volume of 30 % hydrogen peroxide and V₃ = volume of 23 % hydrogen peroxide. So the final volume is V + V₁ = V₂

V₁ + 5 = V₂  (1)

Also, since quantity = concentration × volume,

Let Q = quantity of 20% volume hydrogen peroxide = 0.2V, Q₁ =  quantity of 20% volume hydrogen peroxide = 0.3V₁ and Q₂ = quantity of 23% volume hydrogen peroxide = 0.23V₂

So, 0.2V + 0.3V₁ = 0.23V₂

0.2 × 5 + 0.3V₁ = 0.23V₂

1 + 0.3V₁ = 0.23V₂

0.3V₁ - 0.23V₂ = -1  (2)

substituting equation (1) into (2), we have

0.3V₁ - 0.23(V₁ + 5) = -1

expanding the brackets, we have

0.3V₁ - 0.23V₁ + -0.23 × 5 = -1

0.07V₁ - 1.15 = -1

adding 1.15 to both sides, we have

0.07V₁ = -1 + 1.15

0.07V₁ = 0.15

dividing both sides by 0.07, we have

V₁ = 0.15/0.07

= 2.143 gallons

≅ 2.1 gallons to the nearest tenth

So, we need 2.1 gallons of 30 % hydrogen peroxide to obtain a mixture that is 23 % hydrogen peroxide.

Answer:

(5 , 11)

Step-by-step explanation:

[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]

There are three ways to solve the systems of linear equations

1) Elimination method - where we add/subtract the equations to eliminate the variable

2) Substitution method - where we substitute one variable in the form of another variable

3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution

We use the second method the Substitution method which is the easiest in my opinion.

Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:

[tex]3x-4=\frac{2}{5}x+9[/tex]

as you can see here we eliminated the variable y by substituting y in terms of x.

Now we just solve the equation algebraically

[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]

The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1

[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]

so the solution of the system of linear equations is (5 , 11)

Answer:

Let's solve for a.

(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d

Step 1: Add -12a to both sides.

adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a

adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x

Step 2: Add -bdx to both sides.

adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx

adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x

Step 3: Add -bx^2 to both sides.

adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2

adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x

Step 4: Add -3d to both sides.

adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d

adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x

Step 5: Add -3x to both sides.

adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x

adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x

Step 6: Factor out variable a.

a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x

Step 7: Divide both sides by dx^2+x^3-12.

a(dx2+x3−12)

dx2+x3−12

=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

a=

−bdx−bx2+x3+6x2+2b−4d+8x

dx2+x3−12

Answer:

a=

−bdx−bx2+x3+6x2+2b−4d+8x/

dx2+x3−12

Step-by-step explanation:

Answer:

answer is 3 upon 4

Step-by-step explanation:

because if we reduce 18/24 to its lowest term so first we have to reduce 18 to and then 24 --- 18 is factor of 9x2 and 24 is factor of 12x2 then we have to cut 2 in both and there is answer 9 upon 12 still it is reducing so 3x3 is 9 and 3x4 is 12 so now we have to cut 3 in both the answer is 3 upon 4

Answer:

T=29.95a + 13.95c

Step-by-step explanation:

For this equation let a=amount of adult tickets, c=amount of children tickets, and T=the total cost. Since each adult ticket costs 29.95 dollars that needs to be multiplied by the number of adult tickets to see how much was spent on adults, the same goes for the price and number of children tickets. Finally, both of those totals need to be added together to see how much is spent overall for all of the guests.

Answer:

bhnnjn

Step-by-step explanation:

Answer:

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8    

Step-by-step explanation:  

Step(i):-

Given sample size 'n' = 1600

95% confidence interval of the margin error is determined by

                      [tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]

Level of significance = 0.05

Z₀.₀₅ = 1.96

Given Margin of error = 2% = 0.02

       [tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]

       [tex]0.02 = \frac{1.96 X S.D}{\sqrt{1600} }[/tex]

      0.02 X √1600 = 1.96 X S.D

       [tex]S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408[/tex]

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8  

Using the z-distribution, it is found that you would have to poll 2401 students.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

There is no prior estimate, hence [tex]\pi = 0.5[/tex] is used.

The sample size is n for which M = 0.02, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \left(\frac{1.96(0.5)}{0.02}\right)[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.02}\right)^2[/tex]

[tex]n = 2401[/tex]

You would have to poll 2401 students.

To learn more about the z-distribution, you can take a look at https://brainly.com/question/12517818

Step-by-step explanation:

Options B and C are wrong because 0 as a numerator is totally fine as a real solution.

In Option A,

15(x² - 1) = 10(3x - 3)

15x² - 45x + 30 = 0

x² - 3x + 2 = 0

(x - 1)(x - 2) = 0

x = 1 or x = 2.

This is correct as x cannot be 1 (dividing by zero).

In Option D,

(x + 2)(x - 1) = 40

x² + x - 42 = 0

(x - 6)(x + 7) = 0

x = 6 or x = -7.

In here x = 1 does not even appear in our working so it is not an extraneous solution (even though it is dividing by zero)

Hence the answer is A.

9514 1404 393

Answer:

  loss of $285,000

Step-by-step explanation:

The demand for the Savannah design is estimated to be ...

  Q = 175 -2.1P = 175 -2.1(25) = 122.5 . . . . thousand pens

Then the contribution margin from sales will be ...

  122,500($25 -$6 -$5) = $1,715,000

Against a total of $2,000,000 in production and advertising costs, the net will be a loss of ...

  $2,000,000 -1,715,000 = $285,000

The first-year loss will be $285,000.

Answer:

2) 4/3

Step-by-step explanation:

(4^-3 * 3^4 * 4^2)/(3^5 * 4^-2)

4^-3 * 3^4 * 4^2 = 4^-1 * 3^4

(4^-1 * 3^4)/(4^-2 * 3^5)

(3^4)/(3^5) = 1/(3^5-4)

(4^(-1))/(4^-2 * 3^(5-4)

(4^-1)/(4^-2 * 3)

4^(-1 - (-2)) / (3)

-1 - (-2) = 1

4/3

Answer:

[tex]The \: slope \: is \: \frac{7}{3} .[/tex]

Step-by-step explanation:

To find the slope, we have to turn the equation into the slope-intercept form which is:

[tex]y = mx + b[/tex]

The slope is the m in that form.

we will solve for y.

[tex]7x - 3y = 21 \\ \frac{- 7x \: \: \: \: \: \: = - 7x}{ - 3y = - 7x + 21} \\ \\ \frac{ - 3y}{ - 3} = \frac{ - 7x + 21}{ - 3} \\ y = \frac{7}{3} x - 7[/tex]

Answer:

Step-by-step explanation:

-3y = -7x + 21

3y = 7x - 21

y = 7/3x - 7

slope is 7/3

answer is C

Answer:

54 hours

Step-by-step explanation:

So, first of all subtract the money she has from the total amount.

540-60=480 She still needs $480. So divide this number by the amount she gets in an hour. (9)

480/9 =53.33333 since she can't work half hours, i rounded up.

Answer:

0.25

Step-by-step explanation:

Answer:

$38.66

Step-by-step explanation:

Answer:

will i think that's true

Step-by-step explanation:

I hope this helps you

Answer:

I think that it is yes

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

A) 22.63

Step-by-step explanation:

Well as we all know to find the area of a  parallelogram u have to multiply Base by Height = Area ; Base×Height=Area

As so:    7.3×3.1=22.63

Final answer 22.63

Answer:

x = 59

Step-by-step explanation:

180 = 73 + x + (x-11)

180 - 73 + 11 = 2x

118 = 2x

x = 118/2

x = 59

Answer:

The answer is: X

Step-by-step explanation:

-7x+8x = 1x

this means the answer is X

Answer:

Step-by-step explanation:

steps are stated below

step 1

(x-5^2)-7=93  equation

step 2

x-5^2-7=93  remove brackets

step 3

x-5^2-7=93  simplify

x+(-25)+(-7)=93

step 4

(x)+(-25+-7)=93  combine the tems

x+(-32)=93

step 5

x+(-32)=93  change the symbols

x-32=93

step 6

x-32(+32)=93(+32)  add +32 to both sides so we can get our answer

x=-0=93+32

x=125

Answer:

x=15, x=-5

Step-by-step explanation:

Solve:

[tex](x-5)^2-7=93[/tex]

Adding 7:

[tex](x-5)^2=93+7[/tex]

[tex](x-5)^2=100[/tex]

Taking square roots:

[tex]x-5=\sqrt{100}[/tex]

Recall a square root has two possible answers:

[tex]x-5=\pm 10[/tex]

Adding 5:

[tex]x=5\pm 10[/tex]

There are two answers:

[tex]x=5+ 10=15[/tex]

[tex]x=5- 10=-5[/tex]

Answers: x=15, x=-5

Answer:

B

Step-by-step explanation:

Shigaraki told me