1. Slope and the properties of perpendicular and parallel can be used to confirm that a polygon is a specific type of
quadrilateral.

What types of quadrilaterals can you determine by using these properties? List at least two types of quadrilaterals.

2. Choose one type of quadrilateral from your answer to Question 1. Explain in complete sentences how you can use
properties of perpendicular and parallel lines, together with slope, to confirm that a given polygon is the type of
quadrilateral you chose. Be sure to clearly state the properties that you need to use.

Please number your responses to the questions as they are shown (1 and 2).
NOTE from Ms. Kliban:
I found this answer on the Internet. *If it were an original answer, below is how I would grade it and why

1. The two would be rectangle and trapezium

2. You can determine with the properties that are given, that it's a polygon because with the slope already known that gives
a in to see which lines are perpendicular to which lines and which aren't. Also, with the properties you can tell if everything
Is parallel lines with the slope formula. Some slopes might be different but doesn't mean the polygon Isn't perpendicular
because two sides can have the same slope and the other two won't

GRADE: First off, in the United States, we don't use the word "trapezlum."
For part 2, it says, you can determine with the properties that are given." What properties? There are no properties given.
There are shapes. The next thing said in part 2 is that the slope is already known. No, it's not. You have to find the slope.
PLEASE HELP!!!!! 70 points !!!!

The grammar is bumpy. In other words, I stumbled over it when I tried to read it.
In order to do well on this assignment, part one only needs to have two quadrilaterals stated. You don't even have to have it
In a sentence.
For part 2. you do need to use complete sentences. You need to explain how to find slope and why you need to find the
slope. Then also explain how parallel and perpendicular lines help you to make sure you have the shape you stated in part
sat

Answer:

(x, y ) → (x + 7, y + 5 )

Step-by-step explanation:

Consider the coordinates of R and R'

R (- 5, 0 ) and R' (2, 5 )

x- direction : - 5 → 2 is + 7 units

y- direction : 0 → 5 is + 5 units

Translation rule is (x, y ) → (x + 7, y + 5 )

Answer:

8.06

Step-by-step explanation:

by using pythagoras

BC^2=1^2+8^2

BC^2=1+64

BC^2=65

BC=√65

BC=8.06

Answer:

2000 milligrams —> 2 grams

6000 milligrams —> 6 grams

7000 milligrams —> 7 grams

10000 milligrams —> 10 grams

I hope I helped you^_^

  [tex]y=0[/tex] allows you to determine the x-intercept of a graph.

Therefore, [tex]y=0[/tex] allows you to determine the x-intercept of a graph.

Know more about x-intercept and y-intercept here:

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Answer:

x=24

Step-by-step explanation:

3/4(x-8)=12

Multiply each side by 4/3

4/3*3/4(x-8)=12*4/3

x-8 = 16

Add 8 to each side

x-8+8 = 16+8

x=24

Answer:

x = 24

Step-by-step explanation:

Essentially, you need to break this apart.

You need to isolate the x to figure it out with division or something.

To isolate, you need to get rid of the numbers around it.

To get rid of the 3/4, you can convert it to a decimal to make it easier, and then divide both sides by 0.75 to get rid of it on the x's side.

You now have

x-8 = 12/0.75

You can quickly punch the right side into a calculator to make it easier.

x - 8 = 16

You then add 8 to both sides to finish off the x, to get

x = 24

Step-by-step explanation:

loss amount'= loss% × C.P

=10/100 × x

=0.1 x

Again,

S.P = C.P - Loss amount

=$x - $0.1 x

=0.9 x

The expression for the selling price is:

0.9x

What is selling price and cost price and its formula?

Cost Price: The price paid for an item is referred to as its cost price (C.P.). The price at which an item is purchased is referred to as its selling price (S.P.).

Profit or Gain: The seller is considered to have profit or gain if SP exceeds CP.

Solution:

Given, loss percent is = 10%

          cost price of the toy car is = $x

Therefore the loss amount is: loss% × C.P

                                              = 10/100 × cost price

                                              = 0.1x

Now, for the selling price expression:

                          selling price (SP) = Cost price ₋ Loss amount

                                                      = $x ₋ $0.1x

                                                      = 0.9x

Hence we get the desired expression for the selling price as 0.9x.

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Answer:

Step-by-step explanation:

A ∪ B -----> we have to write all the elements from A & B set without duplicating.

B∩C ------> We have to write only the elements that are found in both B set and C set

A) A ∪ B = {1,3,5, 6, 7, 9, 10,12}

b) A ∪ C = {1, 3, 5, 6, 7, 9, 10,2,4,8,12}

c) B ∩ C = {10,12}

Answer:

a. A U B = { 1,3,5,6,7,9,10,12 }

b. A U C = { 1,2,3,4,5,6,7,8,9,10,12}

c. B n C = { 10.12 }

Step-by-step explanation:

a. A U B — you put all the numbers in set A and B together without repeating anything.

A U B = { 1,3,5,6,7,9,10,12}

b. A U C — you put all the numbers in set A and C without repeating anything.

A U C = { 1,2,3,4,5,6,7,8,9,10,12}

c. B n C — you find a common number in sets B and C.

B n C = { 10,12}

The numbers 10 and 12 are the only common thing in sets B

and C.

[tex]a-3+a-5=\\\\=a+a-3-5=\\\\=\boxed{2a-8}[/tex]

Answer:

y=-3x+5

Step-by-step explanation:

concepts: y=mx+b is slope intercept equation formula

m=slope

b= y intercept

Therefore we need to find the slope and y intercept

first find slope

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

let y2 be 2

let y1 be -4

let x2 be 1

let x1 be 3

[tex]\frac{2-(--4)}{1-3}[/tex]

6/-2 = -3

m=-3

slope is -3

y= -3x+ b

we need find y intercept now

just plug in (1,2) into that equation

2=-3(1)+b

b=5

y=-3x+5

Answer:

Hello,

Answer D

Step-by-step explanation:

In a function a value may not have 2 images.

y1=f(x1) and y2=f(x1) ==> y1=y2

Answer:

x³ (4x + 1)(4x - 1)

Step-by-step explanation:

Answer:

x^3 (4x-1)(4x+1)

Step-by-step explanation:

16x^5-x^3

Factor out x^3

16* x^2*x^3 - x^3

x^3(16x^2 -1)

The term inside the parentheses is the difference of squares

a^2 - b^2 = (a-b)(a+b)

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

x^3 (4x-1)(4x+1)

Answer:

Below

Step-by-step explanation:

First we can find the volume of the box

v = lwh

v = (20)(16)(16)

v = 5120 in^3

Find the volume of the cylinder using this formula

   V = πr^2h

   V = π(5)^2(20)

   V = 1570.79633 (plug this into the final equation, not the rounded one in case it screws up the final value)

   V = 1570.8 in^3

Now we can find the volume of the shaded region by subtraction

5120 - 1570.7963= 3549.2037

Rounding to the nearest 10th and you get....

V = 3549.2

Hope this helps!

11 is the mystery number

Answer:

The mystery number is 11

Step-by-step explanation:

→ Set up an equation

( 10 + 4 + 7 + x ) ÷ 4 = 8

→ Multiply both sides by 4

21 + x = 32

→ Minus 21 from both sides

x = 11

Step-by-step explanation:

Step 1:  Write the equation using point-slope form

Point-Slope Form:  [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

[tex]y-0=m(x-3)[/tex]

[tex]y = m(x-3)[/tex]

Step 2:  Find the slope

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{-2-0}{-2-(-3)}[/tex]

[tex]m=\frac{-2}{1}[/tex]

[tex]m=-2[/tex]

Step 3:  Combine them together

[tex]y = m(x - 3)[/tex]

y = -2(x - 3)

IF NEEDED:  Completely factor

[tex]y = (-2 * x) + (-2 * -3)[/tex]

y = -2x + 6

Answer:

(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Step-by-step explanation:

125 + (a - b)³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Then

125 + (a- b)³

= 5³ + (a - b)³

with a = 5 and b = (a - b)

= (5 a a - b)(5² - 5(a - b) + (a - b)² )

= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)

= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)

Answer:

13

Step-by-step explanation:

[2×1+6×4]÷2

[2+24]÷2

26÷2

13

Given:

The ratio of the cost of a shirt to the cost of a jacket is 2:5.

The jacket cost $240 more than the shirt.

To find:

The cost of the shirt and the cost of the jacket.

Solution:

Let x be the cost of the shirt.

The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).

The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,

[tex]\dfrac{x}{x+240}=\dfrac{2}{5}[/tex]

[tex]5x=2(x+240)[/tex]

[tex]5x=2x+480[/tex]

Subtract 2x from both sides.

[tex]5x-2x=480[/tex]

[tex]3x=480[/tex]

Divide both sides by 3.

[tex]x=\dfrac{480}{3}[/tex]

[tex]x=160[/tex]

So, the cost of shirt is $160.

Now, the cost of jacket is:

[tex]160+240=400[/tex]

Therefore, the cost of shirt is $160 and the cost of jacket is $400.

Answer:

Step-by-step explanation:

Step-by-step explanation:

1/(seca-tana) - 1/cosa=1/cosa -1/(seca+tana)

There are many ways to solve this, let's take a look at a simple one

1/(seca-tana) + 1/(seca+tana) =1/cosa + 1/cosa

((seca-tana)+(seca+tana))/(sec^2a-tan^2a)=2/cosa

(seca-tana+seca+tana)/1=2*1/cosa

2seca=2seca

Answer:

KM = 50 mm , ∠ K = 104°

Step-by-step explanation:

Note that KM = KL = 50mm ( congruent legs )

This indicates the triangle is isosceles with base angles congruent, both 38°

∠ K = 180° - (38 + 38)° = 180° - 76° = 104°

Answer:

So the answer is 398°

Step-by-step explanation:

hope it helps

Answer:

108 minutes

Step-by-step explanation:

Take 24 and divide by 4; you get 6;

Multiply 18 by 6; you get 108;

It will take Brade 108 minutes to run 18 miles

Answer:

0.861

Step-by-step explanation:

Answer:

31/36

Step-by-step explanation:

3/4 + 1/9

= 31/36 --> this is the simplest form, you can't simplify any further.

Answer:

C = y - 3x-1

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

C = y - 3x-1 is in slope intercept form

The answer is A.

I took the test.

Answer:

8A

Step-by-step explanation:

We are multiplying the matrix by a scalar

Each term in the first matrix is multiplied by 2

[tex]\left[\begin{array}{ccc}2l&2m&2n\\2p&2q&2r\\2s&2t&2u\end{array}\right][/tex]

Factor out 2

[tex]2\left[\begin{array}{ccc}l&m&n\\p&q&r\\s&t&u\end{array}\right][/tex]

We know that the determinant of a matrix when multiplied by a scalar is found by

det ( a A) =a^n * det (A)

The scalar in this case is 2  and n is the number of rows ( or columns) since the matrix must be square

 det (2A) = 2^3 det(A)  = 8A

Answer:

(A)

Step-by-step explanation:

Factor the 2 out and do 2/1=x/A

X=2A

Answer:

y=-x

I found the points then simplified it down

Answer:

hmm maybe trying using 2y=5x-2

Step-by-step explanation:

how i came to this was just looking at point y which was just 2 and then since point x was at 5,-2 all i did was simply it into 2y=5x-2

maybe that's the answer if it is can i get brainlist ?! pretty please if not let me know so i can see what i got wrong

Answer: 159

Step-by-step explanation:

We have to find the surface area of two triangles and 3 rectangles

To find the surface areas of the triangles, we use the formula: base x height / 2

6 x 5.5 / 2 = 16.5

Multiply that by 2 since there are 2 of them

16.5 x 2 = 33

To find the surface area of the rectangles, we multiply the length and width

7 x 6 = 42

Multiply that by 3 since there are 3 of them

42 x 3 = 126

Add up all the surface areas

126 + 33 = 159

Answer: Option 4 (Hexagon)

Step-by-step explanation:

A equilateral triangle, square and hexagon can be used to form a tessellation.

Please click thanks and mark brainliest if you like

The volume of the new cone would be 1331 times more than the volume of the original cone. Thus, The volume of the original cone is multiplied by 1331

The volume of the cone can be calculated by the given formula:

                       The volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]

where r = radius of the cone

           h = height of the cone

Solution:

The volume of the original cone= .......1

It is given that the height and radius of a cone are multiplied by 11.

then volume

= [tex]\frac{1}{3} \pi (11r)^{2} (11h)[/tex]

= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex] .........2

The change in volume of the cone after multiplying 11 to r and h would be

dividing equation 2 by equation 1

=  [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex]/[tex]\frac{1}{3} \pi r^{2} h[/tex]

= 121*11

= 1331

Thus, The volume of the original cone is multiplied by 1331

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Answer:

8th term is -15309

Step-by-step explanation:

[tex]{ \boxed{ \bf{u_{n} = a( {r}^{n - 1} ) }}} \\ { \tt{u_{8} = 7( {( - 3)}^{8 - 1}) }} \\ { \tt{u_{8} = 7( - 2187)}} \\ { \tt{u _{8} = - 15309}}[/tex]

r is the common difference, r = -21/7 = -3

Answer:

a₈ = - 15309

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{7}[/tex] = - 3 , then

a₈ = 7 × [tex](-3)^{7}[/tex] = 7 × - 2187 = - 15309