Given: AB || DC, AB CD
DA
Prove: ABC CDA

Answer:

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

Step-by-step explanation:

From the graph attached,

Equation of line (1),

y = 2

Where x < 0

Let the equation of line (2) is,

y = mx + b

y-intercept 'b' = 0 [line (2) passes through origin]

Slope of the line 'm' = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                 = [tex]\frac{3}{3}[/tex]

                                 = 1

Therefore, equation of line (2) will be,

y = x

where 0 ≤ x < 3

Equation of line (3) will be,

y = 3

Where x ≥ 3

Therefore, piecewise linear function will be,

y = 2 for x < 0

     x for 0 ≤ x < 3

     3 for x ≥ 3

Answer:

500 ft

Step-by-step explanation:

use this formula

The actual distance between first and second ride is 500 ft.

The distance between two point P(a, b) and Q(c, d).

so, the distance PQ = √(c-a)² + (d- b)²

Given:

Starting point = (0,0)

First ride = (0,4)

Second ride = (3,0)

In map, each unit = 100 ft

Using the distance formula

d =  √( 3-0)² + (0-4)²

d = √9+ 16

d= √25

d = 5 units

So, the distance between first ride and second ride in the map is 5 units.

and,1 units  = 100 ft

5 units = 500 ft

Hence, the actual distance between first and second ride is 500 ft.

Learn more about distance formula here:

https://brainly.com/question/28956738

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Answer:

domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Step-by-step explanation:

We are given;

Total students for the fruit cup party = 18

Total teachers for the fruit cup party = 2

Cost of each fruit cup =$ 3

Delivery charge = $ 10

Now, the total number of people attending the party = Total number of students + Total number of teachers

Thus;

Total number of people attending party = 18 + 2 = 20

Since cost of each fruit cup is $3.

Thus, for 20 fruit cups, the function is;

f(x) = 20x where x is cost of each fruit cup.

It means the cost of 20 fruit cups = $3 × 20 = $60

Thus, domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Answer:

if it's wednesday

Step-by-step explanation:

Answer:

y=2/3x +5

hope this helps

Answer:

[tex] \red{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Explanation

[tex] slope \:of \:the\: required\:\: line \implies\\\frac{9-6}{6-(-3)}=\frac{6}{9} [/tex]

[tex] equation \:of \:the\: required\:\: line\implies\:\\y - 3 = \frac{6}{9} (x + 3)[/tex]

[tex] \implies \: 9y - 27 = 6x + 18[/tex]

[tex] \implies \: 6x - 9y + 45=0[/tex]

[tex] \implies\:2x-3y+15=0[/tex]

Hence the equation of the line is

[tex] \green{ \boxed{ \bold{2x - 3y + 15=0}}}[/tex]

Answer:

Third choice, 7/25

Step-by-step explanation:

14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this

14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25

Answer:

B

Step-by-step explanation:

Answer:

if the line keeps going and theynever touch

Step-by-step explanation:

Answer:

Two lines are parallel when are side by side and if the lines kept on going, they would never collide with each other

Step-by-step explanation:

Answer:

-4,-6,-8,-10

Step-by-step explanation:

I am not so sure though.

Answer:

1/4=0.25

1/4

1/4=25℅

3/4=0.75

3/4

3/4=75℅

Note: Consider the below figure attached with this question.

Given:

[tex]a=3\sqrt{3}[/tex]

To find:

The value of b.

Solution:

In a right angled triangle,

[tex]\tan \theta = \dfrac{Perpendicular}{Base}[/tex]

For the given right angled triangle,

[tex]\tan \theta = \dfrac{a}{b}[/tex]

[tex]\tan (30^\circ) = \dfrac{3\sqrt{3}}{b}[/tex]

[tex]\dfrac{1}{\sqrt{3}} = \dfrac{3\sqrt{3}}{b}[/tex]

On cross multiplication, we get

[tex]1\times b=3\sqrt{3}\times \sqrt{3}[/tex]

[tex]b=3(3)[/tex]

[tex]b=9[/tex]

Therefore, the value of b is 9.

Answer:

yep

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

2x + 6 is equal

Answer:

2.4

Step-by-step explanation:

v=3/25

d=3/25 * 20=12/5=2.4

hope this help

Answer:

There are 42 red colour socks and 44 green color socks

Step-by-step explanation:

Let there are r red socks and g green socks.

ATQ,

He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.

4g-3r=50 ....(1)

Half the number of green socks plus one-third of the number of red socks is 36.

[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]

Multiply equation (1) by 2 and equation (2) by 3.

8g-6r = 100 ....(3)

9g +6r = 648 ....(4)

Add equation (3) and (4)

8g-6r + 9g +6r = 100+648

17g = 748

g = 44

Put the value of g in equation (1).

4(44)-3r=50

176-3r = 50

176-50 = 3r

r = 42

Hence, there are 42 red colour socks and 44 green color socks.

Answer:

Total boxes= 75

Step-by-step explanation:

Giving the following information:

A baseball bat factory produces 24,000 bats per day and uses 50 boxes for packing the bats.

First, we need to determine the number of bats that fits into a box:

Bats per box= 24,000 / 50

Barts per box= 480

Now, the number of boxes for 36,000 bats:

Total boxes= total bats / bats per box

Total boxes= 36,000/480

Total boxes= 75

Answer:75

Step-by-step explanation:

Bats 24000/50

Box 480

Answer:

60 inches²

Step-by-step explanation:

Unit test

Answer:

I need the answer

I dont know!!

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

I think its G because i counted the numbers...and i pretty sure its not a Negative so yah

Answer:

4326

Step-by-step explanation:

4200/100x3=126

4200 + 126=4326

Answer:

b

Step-by-step explanation:

4326

3x+18

Step-by-step explanation:

Answer:

3x+18

Step-by-step explanation:

Is the answer

answer

Answer:

its c

Step-by-step explanation:

took the test

Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).

Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7),  C'(6.-14) , D'(1.-11)

Find out more at: https://brainly.com/question/11707700

Answer:

C = 99 + 49m

x = $99

y = $49

Step-by-step explanation:

Let

x = one time joining fee

y = monthly payment

Your friend:

1 year = 12 months

x + 12y = $687

You:

x + 18y = $981

x + 12y = 687 (1)

x + 18y = 981 (2)

Subtract (1) from (2)

18y - 12y = 981 - 687

6y = 294

Divide both sides by 6

y = 294 /6

= 49

x = $49

Substitute y = 49 into

x + 12y = 687

x + 12(49) = 687

x + 588 = 687

x = 687 - 588

= 99

x = $99

C = 99 + 49m

Where,

C = total charges

m = number of months

99 = a one time joining fee

49 = charges per month

Answer:

18

Step-by-step explanation:

|30 - 5| - |-7| = 18

Answer:

A and C

Step-by-step explanation:

If the fraction is negative either the numerator or the denominator can be marked negative and it stays the same

Answer:

The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.

This would cost 85% * 78.65.

However, they also have to pay a 20% tip of the meal cost.

This would cost 20% * 78.65.

Step-by-step explanation:

total Cost = (85% * 78.65) + (20% * 78.65)

= 105% * 78.65

= 1.05 * 78.65

= $82.58

Answer: its c

Step-by-step explanation:

its c

Answer:

(-∞,+∞)

Step-by-step explanation:

The function is a continuous quadratic function

Answer:

he earned 8 dollars in interest

Step-by-step explanation:

800(1+(.02)(.5))

hopefully im correct