Lines m and n are parallel on a coordinate plane. Lines m and n are transformed by the same rotation, resulting in image lines s and t. Which statement describes the relationship between lines s and t?

The equation of the line that is parallel to x = 3 and goes through (4, -3) is: x = 4).

The slopes or parallel lines are always the same.

Given the equation of a vertical line, x = 3, the slope is undefined. So also, the slope of the line that is parallel to x = 3 is undefined.

If the line passes through the point (4, -3), it means it intercepts the x-axis at x = 4.

Therefore, the equation of the line that passes through (4, -3) and is parallel to x = 3 is: x = 4.

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The equations in options B and D are the polynomials other equations are not polynomial.

Polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

The exponent of the polynomial should be always a whole number like {0,1,2,3,4,5,6,.........}

Here in the option, only two equations are polynomials that are

(2/3)x²+x+1  and   x³+2x+√2

Hence the equations in options B and D are the polynomials other equations are not polynomial.

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Answer:
(x,y)
(-5,28)
(-1,4)
(0,-2)
(1,-8)

Step-by-step explanation:

You just have to plug in the values of x into the function rule to get all the values. Hope this helps!

Answer:

I don't think there is a way the values can be determined...

If a and b are in different triangles then the true option is that values of a and b can't be determined.

A triangle is a two dimensional figure having three sides and three angles.

Sum of angles of a triangle is equal to 180° whether it is a right angled or not.

In first triangle one angle is x°, second is 75° and third one is a° and in second triangle one angle is 60°, second is y°, third one is b°.

Sum of angles in first triangle is x+75+a=180

Sum of angles in second triangle is y+60+b=180

because any relationship between x and y is not given in the questions so values of a and b cannot be determined.

Hence the correct option is D which is that values of a and b cannot be determined.

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Answer:

if 45% of a number ,n, is 225, then 74% of a number ,n,is 370

Answer:

10,200

Step-by-step explanation:

P(1-r)^n

r = decimal form of the interest rate percent

n = amount of years

principal times (1 - decimal form of the interest rate percent) to the (amount of years) power

12000 (1-.05)^3

use PEMDAS

12000 times (.95)^3

12000 times .857375 =

ANSWER:

10288.5

Hi there,

So,

Simplify and solve for x.

In the context of this problem, the equation x=14 means that the first number is 14. The next three even numbers are 16, 18, and 20.

Checking we see that 14+16+18+20=68.

Answer:

97.7 %

Step-by-step explanation:

TWO standard deviations above the mean

  z - score = 2   corresponds to .9772    97.7 %

Answer:

A, C and D

Step-by-step explanation:

Step-by-step explanation:

If you are solving for y :

[tex] \: [/tex]

[tex]x < 3y - 18[/tex]

[tex]x + 18 < 3y[/tex]

[tex] \frac{x + 18}{3} < \frac{3y}{3} [/tex]

[tex]y > \frac{3}{x} + 6[/tex]

Answer:

median = 535

mode = 540

mean = 538.75

Step-by-step explanation:

To find the median, place the scores in order from smallest to largest, then find the middle score:

390, 460, 480, 480, 500, 510, 520, 530, 540, 540, 540, 580, 620, 630, 650, 650

As there is an even number of scores (16), the median is the average (mean) of the two middle scores (highlighed above).

Therefore, the median is 535

The mode is the number that appears the most.

Therefore, the mode is 540.

The mean is the total of the scores divided by how many scores there are.

Mean = (390 + 460 + 480 + 480 + 500 + 510 + 520 + 530 + 540 + 540 + 540 + 580 + 620 + 630 + 650 + 650) ÷ 16

⇒ Mean is 538.75

The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

To find the volume of the composite figures, follow the steps listed below:,

A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:

[tex]V=\dfrac{1}{3}(\text{length x width x height})\\V=\dfrac{1}{3}40\times40\times20\\V\approx10667\rm\; ft^3[/tex]

The volume of the room is:

V=length x width x height

V=40 x 40 x 30

V=48000 ft³

The volume of the entire house, including the roof, is,

V=10667+48000

V=58667 ft³

Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.

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Answer:

It would take 10 weeks to buy the laptop so she could cover the price of the laptop and tax.

Step-by-step explanation:

Answer:

a = b + 6

b = 8

Step-by-step explanation:

a = b + 6

b = 8

An equation is formed of two equal expressions. The amount of 20% milk and 12% milk that is needed to be mixed is 7.5 gallons and 12.5 gallons, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the amount of 20%milk mixed be represented by x, while the amount of 12% milk mixed is represented by y. Therefore, the two-equation can be written as,

x+y=20 gallons

0.20x + 0.12y = (0.15×20)

Solve the first equation for x, therefore,

x = 20 - y

substitute the value of x in the second equation,

0.20(20-y) + 0.12y = 3

4 - 0.2y +0.12y = 3

-0.08y = -1

y = 12.5 gallons

substitute the value of y in the first equation,

x + 12.5 = 20

x = 7.5 gallons

Hence, the amount of 20% milk and 12% milk that is needed to be mixed is 7.5 gallons and 12.5 gallons, respectively.

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Answer:

40=10% im rightthe total is 400

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

(I think ) sorry it it's wrong

The true number sentence is the third option:

6.8*1.3 = 8.84

Here we have number sentences of the form:

A*B = C

This is true only when the value of the product A*B is equal to the value of C.

One key thing to identify the correct one is remembering the rule of signs:

(+)*(-) = (-)

(+)*(+) = (+)

(-)*(+) = (-)

(-)*(-) = (+).

The only option that meets that rule is:

6.8*1.3 = 8.84

Where the product of two positive numbers gives another positive number (and the equality is true) so we conclude that this number sentence is true.

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The surface area of the square pyramid is 96 sq. mi.

Given:

side length (s) = 6 mi

slant height (l) = 5 mi

*image of a typical square pyramid is shown in the attachment below.

Recall:

Formula for surface area of square pyramid (SA) = [tex]A+\frac{1}{2}Pl[/tex]

Where,

[tex]A=[/tex] area of the base = [tex]s^2=6^2=36[/tex] sq mi

[tex]P=[/tex] perimeter of the base = [tex]4(s)=4*6=24[/tex]  mi

[tex]l=[/tex] slant height = 5 mi

Plug in the values

[tex]SA=36+\frac{1}{2} *24*5[/tex]

[tex]SA=36+60[/tex]

[tex]SA=96[/tex]

The surface area(SA) of the square pyramid is 96 sq. mi

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Answer:

A 2/6

Step-by-step explanation:

1/3

x 2/2

2/6

Answer:

4/11

Step-by-step explanation:

The chance of getting the sum of any number(2 thought 12) is 1/11

so

9 = 1/11

10 = 1/11

11 = 1/11

12 = 1/11

so, 4/11

Answer:

6

Step-by-step explanation:

Median = (n+1) ÷ 2

Median = total frequency which is 55 + 1 = 56 ÷ 2 = 28th term.

So to find this term you add the frequencies until you get 28 or a number higher than 28.

3+1+10+15 = 29.

We got 29 when we got to the column of shoe size 6. So the Median is in shoe size 6.

Answer: both

Step-by-step explanation:

Answer:

132 m²

Step-by-step explanation:

Split the figure into 2 parts :

Area (Triangle)

Area (Rectangle)

Area (Figure)

Answer:

2/3 X 12 =8

Step-by-step explanation:

2.

-----. X 12 =2 x 12= 24 Which is 24/3 =8

3

Answer:

$341.80

Step-by-step explanation:

Value after 1 year :

Value after 2 years :

Value after 3 years :

Answer:

95

Step-by-step explanation:

19 DVDs for 10 dollars and he has 50 dollars well 50 dollars is just 5 groups of 10 so just 19 x 5 = 95

Answer:

D. 188/250

Step-by-step explanation:

Total number attending concert is 250

Total number of adults AND tickets purchased in advance:

48 + 100 + 40 = 188

Divide by 250:

[tex]\frac{188}{250}[/tex]

The probability that the randomly selected person attending the concert is an adult or has purchased the ticket in advance is 188/250.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given a table which shows when the tickets for a concert are sold and the types of tickets that are sold.

The probability of A or B can be calculated as,

P(A or B) = P(A) + P(B) - P(A and B)

Let A denote the people is an adult.

Let B denote the people who has purchased the ticket in advance.

P(A) = 148/250

P(B) = 140/250

P(A and B) = 100/250

Probability that a randomly selected person attending the concert is an adult or has purchased the ticket in advance is,

P(A or B) = 148/250 + 140/250 - 100/250

              = 288/250 - 100/250

               = 188/250

Hence the required probability is 188/250.

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