Which lines or segments are parallel? Justify your answers ​

Answer:

t needs 68 feet to enclose the garden.

Step-by-step explanation:

In this problem, we are to solve the sides of a parallelogram ABCD to know the measurement to enclose a garden.

Take note that a parallelogram has two equal lengths and two equal widths. Let us assume that the parallelogram AB = CD is the length and AD = BC is the width.

Solving the problem

First, let us solve for r using the condition AD = BC

AD = BC

3r + 8 = 2r + 12

Simplify the equation

3r - 2r = 12 - 8

r = 4

Next, let us substitute the value of r to AB, BC, CD, and AD.

For AB:

AB = 4r - 2

AB = 4(4) - 2

AB = 16 - 2 = 14

For BC:

BC = 2r + 12

BC = 2(4) + 12

BC = 8 + 12 = 20

For AD:

AD = 3r + 8

AD = 3(4) + 8

AD = 12 + 8 = 20

For CD:

But AB = CD Therefore, CD = 14

Finally, let us solve the perimeter of the parallelogram

Perimeter = AB + BC + CD + AD

Perimeter = 14 + 20 + 20 + 14

Perimeter = 68 feet

Therefore, the fencing needed to enclose the garden is 68 feet.

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Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

Answer: 9 1/8x

Step-by-step explanation:

Answer:

$220

Step-by-step explanation:

a.) 1/3 (660) = $220

b.)

1/3 = x/660

3x=660

x=660/3

x=220

Answer:

B

Step-by-step explanation:

Edge 2021

Answer:

b

Step-by-step explanation:

I just finished

Answer:

Yes I do the formula is y=mx+b This means the answer is B

Step-by-step explanation:

You can ignore this if you already know the parts of the equation but here is it broken down. the X and Y in the slope intercept equation are left blank if you are given the slope and y-intercept like you were in this problem. The M in th equation stands for the slope which is 1/2 in this problem. B stands for the Y-intercept which just means where is the line crossing the y-axis when x is zero. I hope this helps you.

Answer:

(7m+34)

Step-by-step explanation:

Add like terms 3m+4m=7m, 13+21=34

You have to make sure to add like terms.  In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

Answer:

7

Step-by-step explanation:

Answer:

(1)[ -3+2i-2(24)-8i ]

(2)[ -51-6i ]

Step-by-step explanation:

Throw the given equation into a calculator and simplify it. Answer #1 is simply a different/more complicated form of answer #2.

Answer:

Yes, SAS

Step-by-step explanation:

The Triangle Congruence Theorem would be SAS as there are 2 equal sides with lines (AB = xy) and (BC = yz)

And there are is a pair of equal angles as they both have a 90 degree angle

= SAS

Answer:

[tex]r = \frac{3t}{t-1}[/tex]

Step-by-step explanation:

[tex]t = \frac{r}{r - 3}[/tex]

Cross multiply,

t(r - 3) = r

tr - 3t = r

     tr  = r + 3t

 tr - r = 3t

 r(t -1) = 3t

 [tex]r = \frac{3t}{t-1}[/tex]

Answer:

r = 3t/(t - 1)

Step-by-step explanation:

t = r/(r - 3)

t(r - 3) = r

tr - 3t = r

tr = r + 3t

tr - r = 3t

r(t - 1) = 3t

r = 3t/(t - 1)

Answer:

231.00

Step-by-step explanation:

Carol earns 16 for 30 minutes, so $32 an hour, 32 * 3 = 96.

Peter earns 15 every 20 minutes, so 20 * 3 = 60 minutes, and 15 * 3 = 45,

so he earns 45 dollars an hour. 45 * 3 = 135

135+96 = 231.00

U shall not fail .w.

Answer:

each smoothie costs 4 dollars disincluding the 3 dollar tip

Step-by-step explanation:

Answer:

23-3=20

Step-by-step explanation:

Answer:

D. 24 Units

Step-by-step explanation:

tracing the points given we get a rectangle

the perimeter of a rectangle = 2a+2b

a=length

b= width

in this case a= 8

b= 4

the perimeter of a rectangle = (2*8)+(2*4)

the perimeter of a rectangle = 16+8

the perimeter of a rectangle = 24

Answer:

m = y/x

Step-by-step explanation:

y-y = m(x-x)

simplify:

-2y = m(-2x)

simplify again

-2y = -2mx

divide to get rid of -2 and x

-2y = -2mx

----------------

-2x

y

-  = m

x

Answer:

The number of students in the key club is 490

Step-by-step explanation:

The given parameters are;

The number of student in the school = 1000

The total number of student in the debate club = 310

The total number of student in the student council = 650

The total number of student who are in debate and student council = 170

The total number of student who are in both debate and the key club = 150

The total number of student who are in both student council and the key club = 180

The number of students who are in all three clubs = 50

Therefore, we have;

Let A represent the number of students in the debate club

Let B represent the number of students in the student council

Let C represent the number of students in the key club

We have;

n(A∪B∪C) = n(A) + n(B) + n(C) -  n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C)

Where;

n(A∪B∪C) = 1000

n(A) = 310

n(B) = 650

n(A∩B) = 170

n(B∩C) = 180

n(C∩A) = 150

n(A∩B∩C) = 50

Therefore;

n(C) = n(A∪B∪C) - (n(A) + n(B) -  n(A∩B) - n(B∩C) - n(C∩A) + n(A∩B∩C))

Substituting the values gives;

n(C) = 1000 - (310 + 650 -  170 - 180 - 150 + 50) = 490

The number of students in the key club, n(C) = 490.

Answer:

The prize for the first one to brake that glass in the grass during a train moving will get a free VIP pass to the tourtament of cricket, also it will need to bring a towel to dry yourself in the pool included.

Answer:

1. I Will be taking a break from schoolwork today.

2. It is so quiet, I can hear crickets chirp.

3. The sun will soon dry up the puddles.

4. The frog hopped away when I ran towards it.

5. The sheep grazed on the grass.

6.The prize for the competition was $20.

7. I have to walk to campus because I missed the train.

Step-by-step explanation:

Also tag the question as English not math.

Answer:

2x-3y<7

Step-by-step explanation:

Hope it helps (:

Answer:

12 cups

Step-by-step explanation:

cup 2:1 pint

cup 12:6 pint

the ratio stays the same

Answer:

the answe is 12 cups. You have 6 pints, each made of 2 cups, so you just need to multiply 6×2, which gets you 12 cups

Answer:

D = (6, -4)

E = (2, 1)

F = (-3, -5)

x-axis makes the y coordinate negative

Answer:

y column

8

6

2

0

-3

Step-by-step explanation:

-2/3 is ur slopeeeee

Answer:

33/16

Step-by-step explanation:

Answer:

There will be one solution for the angle

Step-by-step explanation:

9514 1404 393

Answer:

  5.4×10^-1

Step-by-step explanation:

An adjustment in the exponent is needed to get to scientific notation at the end.

  (9×10^5)(6×10^-7) = (0.9×10^6)(6×10^-7) = (0.9×6)×10^(6-7)

  = 5.4×10^-1

_____

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

_____

Of course, it can be useful to understand how moving the decimal point changes the exponent:

  9 = 0.9×10 = 0.9×10^1

Answer:

5

Step-by-step explanation:

Set h(x) to zero then solve:

0 = -x + 5

-5 = -x

5 = x

Answer:

x = 5

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

h(x) = -x + 5

h(x) = 0

Step 2: Solve

Answer:

60

Step-by-step explanation:

i took the test

The value of the variable 'x' is 30°. Then the measure of the angle ∠C will be 60°.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

A triangle labeled A B C. Side BC is the base, side AB is perpendicular, and side AC is the hypotenuse. Angle A is labeled x degrees, angle B is labeled 3x degrees, and angle C is labeled 2x degrees.

Then the equation is given as,

x + 2x + 3x = 180°

6x = 180°

x = 30°

Then the measure of the angle ∠C is calculated as,

∠C = 2 × 30°

∠C = 60°

The value of the variable 'x' is 30°. Then the measure of the angle ∠C will be 60°.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer: 476

Step-by-step explanation:

204 miles/3 hours = 68 miles

68 miles x 7 hours = 476 miles