line r is parallel to line s.
In which diagram MUST angle 1 be congruent to
angle 2?

Answer:

Step 2.

Step-by-step explanation:

When you have a coefficient on a side of the equation that you need to get rid of, you must divide by the number. For example, in the problem:

3(x+8)² = 75

Here, you need to divide both sides by '3' instead of multiplying, which was done instead. Then you get:

(x+8)² = 25.

Therefore, his mistake was made at Step 2.

Solution,

Let the price of car be X.

Rate(R)=5%

Here,

Commission % of price of car=32500

or,5% of X=32500

or,5/100*X=32500

or,X=32500*20

X=Rs 650000

Hope it helps

Good luck on your assignment........

Answer:

234

Step-by-step explanation:

The consecutive terms of the sequence have a common difference d

d = 17 - 10 = 24 - 17 = 7

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = 7 , thus

[tex]a_{33}[/tex] = 10 + (32 × 7) = 10 + 224 = 234

Answer:

a. 108

b. 2.5

Step-by-step explanation:

a. ex: 108 = 108

b. ex: 5/2 = 5/2

convert to a decimal

2.5

. . .

Answer: +6

Explanation: The equation x² - 36 = 0 is called a quadratic equation because he have a squared term as our highest power.

Our first step in this problem is to get the x²

term by itself by adding 36 to both sides.

That gives us x² = 36.

Next we must get the x by itself and in order to do

that we do the opposite of what is happening to x.

Since x is being squared, the opposite

of squaring is square rooting.

So to get x by itself, we square

root both sides of the equation.

On the left the square root of x² is x and on

the right, remember the following rule.

When square rooting both sides of

an equation, always use plus or minus.

So the answer to this problem would be +6.

So our solution to this equation is +6.

Answer:

Step-by-step explanation:

|x| fails the horizontal line test, so these two functions as presented are NOT inverses of one another.

However, if we look ONLY at x < 0, the functions ARE reciprocals; a horizontal line passes through the graph of |x| only once.

Answer:

B, E

Step-by-step explanation:

[tex]x^{2} +y^{2}=9[/tex]

[tex]\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]

[tex]x^{2} =9-y^{2} \\\frac{x^{2} }{3^{2}} - \frac{y^{2} }{3^{2}} =1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]\frac{9-y^{2} }{3^{2} } -\frac{y^{2} }{3^{2} }=1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]\frac{1}{9} * (9-y^{2} )-\frac{y^{2} }{9} = 1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]1-\frac{2y^{2} }{9} =1[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]-\frac{2y^{2} }{9} =0[/tex]

[tex]x^{2} =9-y^{2}[/tex]

[tex]y^{2} =0[/tex]

[tex]x^{2} =9-y^{2}\\y=0[/tex]

[tex]x^{2} =9\\y=0[/tex]

[tex]x=3 \\y=0\\\\or\\\\x=-3\\y=0[/tex]

Answer:

9

Step-by-step explanation:

x + r. Substitute

4 + 5 Add

9

Answer:

The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is:  [tex]|mass - 2.5| < 0.08[/tex]

Step-by-step explanation:

The ideal mass of the chocolate is 2.5 ounces, although it can vary by 0.08 ounces, this variation can occur for greater masses and lesser ones. Therefore the actual mass of the each chocolate will sit between the ideal mass minus 0.08 and the ideal mass plus 0.08. Therefore we can construct the following inequality:

[tex]-0.08 < mass + 2.58 <0.08\\ |mass - 2.5|< 0.08\\[/tex]

The mass of the chocolate will be between 2.42 ounces and 2.58 ounces, the absolute value inequality is:  [tex]|mass - 2.5| < 0.08[/tex]

Answer:

24.94

Step-by-step explanation:

To find shipping and handling take the price and multiply by the shipping and handling percent

464 * 5.375%

Change to decimal form

464 * .05375

24.94 for shipping and handling

Answer:

12

Step-by-step explanation:

Take the right side of the box and subtract the left side of the box to get the interquartile range

85 - 73 = 12

Answer:

x = -8

Step-by-step explanation:

[tex]6x - 3 = -51?\\To - find-x- collect-like-terms.\\6x=-51+3\\6x =-48\\Divide-both-sides-of-the-equation-by-6\\\frac{6x}{6} = \frac{-48}{6} \\x = -8[/tex]

Answer:

see below

Step-by-step explanation:

Since AB + BC = AC, x + 3x = 20 → 4x = 20 → x = 5.

AB = x = 5 and BC = 3x = 3 * 5 = 15.

answer is this down below

5

5

15

Answer:

p < 8

Step-by-step explanation:

3p+7<31

Subtract 7 from each side

3p+7-7<31-7

3p <24

Divide each side by 3

3p/3 <24/3

p < 8

Step-by-step explanation:

h(x) = (x-11)(x+3)

= x^2 + 3 - 11x - 33

= x^2 - 11x -30

Answer:

11 seconds

Step-by-step explanation:

did it on khan

Answer:

the  mean and standard error of the mean are 200 and 2 respectively.

Step-by-step explanation:

Given that ;

the sample size n = 81

population mean μ = 200

standard deviation of the infinite population σ = 18

A population  is the whole set of values, or individuals you are interested in, from an experimental study.

The value of population characteristics such as the  Population mean (μ), standard deviation (σ) are said to be known as the population distribution.

From the given information above;

The sample size is large and hence based on the central limit theorem the mean of all the means is same as the population mean 200.

i.e

[tex]\mu = \bar \mu_x[/tex] = 200

∴ The mean = 200

and the standard error of the mean can be determined via the relation:

[tex]\mathbf{standard \ error \ of \ mean = \dfrac{\sigma}{\sqrt {n}}}[/tex]

[tex]\mathbf{standard \ error \ of \ mean = \dfrac{18}{\sqrt {81}}}[/tex]

[tex]\mathbf{standard \ error \ of \ mean = \dfrac{18}{9}}[/tex]

[tex]\mathbf{standard \ error \ of \ mean =2}[/tex]

Therefore ; the  mean and standard error of the mean are 200 and 2 respectively.

Answer:

-5+6-3

Step-by-step explanation:

DUH!!!!!

Answer:  

[(–5) + (–3)] + 6 = –2 and [6 + (–5)] + (–3) = –2

Step-by-step explanation:

DUH!! (as one guy said) this time im right tho.

Answer: B

Step-by-step explanation:

Should be B because there are no given angles.

The congruence postulate that applies is the SSS postulate

Triangles are known to be similar if the ratio of their sides is the same and they have equal angles

From the given diagram, we can see that the measure of the similar sides of the triangles is the same, hence we can conclude that the triangles are similar to the Side-Side-Side congruence triangle.

Learn more on SSS theorem here: https://brainly.com/question/4163594

Answer:

The answer is andrew!

Step-by-step explanation:

andrew 10 + 14 + 8 + 12 + 11/ 5 = 11

leroy 2 + 12 + 9 + 11 + 16/5 = 10

So the right answer is -74.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = ( - 74)[/tex]

Step-by-step explanation:

[tex]2(3 - 5 {(2 + 1)}^{2} + 5) \\ 2(3 - 5(2 + 1)(2 + 1) + 5) \\ 2(3 - 5 \times 3 \times 3 + 5) \\ 2(3 - 15 \times 3 + 5) \\ 2(3 - 45 + 5) \\ 2( - 42 + 5) \\ 2( - 37) \\ 2 \times - 37 \\ = - 74[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

OC. $57.28

Step-by-step explanation:

It depends on how much she sells them for.

Let's say Anne sells them for $x.

Then her profit is:

8x-(8*7.16)

=8x-57.28

To make a minimum to at least make even is $57.28 and sell for $7.16 a piece.

Anne makes a profit of $57.28 on the sale of these 8 canvases. which is the correct answer would be option (C).

The profit is equal to the difference between the selling price and the original cost price.

Anne purchases art supplies for her business from a wholesaler. She spends $7.16 on eight 16 by 20-inch canvases.

To calculate the profit that Anne makes on the sale of these 8 canvases, you need to know the price at which she sells them and the cost of buying them from the wholesaler. If the cost of each canvas is $7.16 and she buys 8 of them, the total cost of the canvases is :

⇒ 8 × $7.16

Apply the multiplication operation and we get

⇒ $57.28.

Therefore, she makes a profit of $57.28 on the sale of these 8 canvases.

Hence, the correct answer would be an option (C).

To learn more about the profits click here:

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Answer:

(2B/m) - k = r

Step-by-step explanation:

B =1/2m(r + k)

Multiply each side by 2

2B =m(r + k)

Divide each side by m

2B/m = m/m (r+k)

2B/m =(r+k)

Subtract k from each side

(2B/m) - k = r+k-k

(2B/m) - k = r

Answer:9-y

Step-by-step explanation:6-7+3= 9-y

Simplified

Answer:

9-y

Step-by-step explanation:

6-y+3=

6+3-y=

9-y

If you were solving for y, then you need to provide a solution for 6-y+3.

If you were solving for the solution, then you need to give y a value.

If you needed to simplify it, then see my answer.

Please see the attached picture for full solution

hope it helps....

Good luck on your assignment.......

Answer:

y=-4/3+3 you would multiply the numerator by X

Answer:

( - 2, 1 and 2 / 3 )

Step-by-step explanation:

Check the procedure below;

[tex]y = 2 / 3 * x + 3,\\x = - 2\\\\y = 2 / 3 * ( - 2 ) + 3,\\y = - 4 / 3 + 3,\\y = 5 / 3,\\x = - 2\\\\Conclusion; y = 5 / 3, and, x = - 2[/tex]

To derive this solution, we substituted the known value of x into the top equation, to receive the y value;

Solution - ( - 2, 5 / 3 )

Answer:

10m.

Step-by-step explanation:

Add up all the areas of the running path and then you can reach to the answer. I got 10m and most probably it should be that only.

The calculated division of the numbers 600 divided by 5 is 120

From the question, we have the following parameters that can be used in our computation:

600 divided by 5

When represented as an equation, we have

600 divided by 5 = 600/5

Divide 7 by 4

So, we have the following result

600 divided by 5 = 120

Using the above as a guide, we have the following:

the result is 120

Read more about quotient at

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