angle sum theory

A) 10

B) 17

C) 3

D) 12

Answer:

Airplane #1 equation: y=5/13x+42/13

Airplane #2 equation: y=1/3x+14

Step-by-step explanation:

So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be  y=1/3x+14.

Hope this helps

Answer:

32 and 20

Step-by-step explanation:

x + y = 52

x - y = 12

2y = 40

y = 20

x = 32

X represents the number of arrangements.

Answer: 1,200,000

Explanation:

Answer:

16 cm by 24 cm

Step-by-step explanation:

Well if you want an equal amount you will have to multiply both numbers by the same thing. I used 2 and 16 cm by 24 cm would be your answer.

The dimensions of the new photograph is b. 16 cm by 24 cm.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

A rectangular photograph is 8 cm wide and 12 cm long.

The original area is

8 x 12 = 96

The photograph is enlarged by increasing the length and width by an equal amount in order to double its area.

The new area is 96 x 2 = 192

So the dimensions are b. 16 cm by 24 cm.

Learn more about the area;

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#SPJ2

Answer:

Answer is c hope this helps :)

Step-by-step explanation:

Given:

RSTU is a parallelogram and ST is congruent to TU.

To find:

Why RSTU must also be a rhombus?

Solution:

We know that the opposite sides of a parallelogram are parallel and congruent.

RSTU is a parallelogram. So,

[tex]RS\parallel TU[/tex] and [tex]ST\parallel RU[/tex]            [Property of parallelogram]            ...(i)    

[tex]RS\cong TU[/tex] and [tex]ST\cong RU[/tex]            [Property of parallelogram]            ...(ii)    

It is given that,

[tex]ST\cong TU[/tex]                ...(iii)

From (ii) and (iii), we get

[tex]RS\cong TU\cong ST\cong RU[/tex]          ...(iv)

From (i) and (iv), we get RSTU is a rhombus because all sides are congruent and appositive sides are parallel.

A parallelogram with each side equal is known as rhombus.

As for the given parallelogram all the sides are equal, therefore it should be rhombus.

Parallelogram is a closed shaped quadrilateral polygon in which opposite sides are equal and parallel and opposite angles are equal.

Rhombus is a closed shaped quadrilateral polygon in which all the sides are equal and opposites sides are parallel also opposite angles are equal.

Given information-

In the given problem [tex]RSTU[/tex] is a parallelogram.

In the given parallelogram [tex]ST[/tex] is congruent to [tex]TU[/tex].

The image of parallelogram is attached below.

For a parallelogram opposite sides are equal. thus,

[tex]RS=TU\\RU=ST[/tex]

As In the given parallelogram [tex]ST[/tex] is congruent to [tex]TU[/tex]. Thus,

[tex]ST=TU[/tex]

Now the side [tex]ST[/tex] is equal to the side [tex]RU[/tex] and side [tex]RS[/tex] is equal to the side [tex]TU[/tex]. Thus,

[tex]RS=ST=TU=RU[/tex]

All the sides of a rhombus is equal in length. A parallelogram with each side equal is known as rhombus.

As all the sides are equal of the given parallelogram. Thus the given parallelogram is rhombus.

Hence, as for the given parallelogram all the sides are equal, therefore it should be rhombus.

Learn more about the parallelogram and rhombus here;

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Answer:

The answer is 7/24 ~hope this helps~

btw, sick pic  B-)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Sorry this isn't the answer, I could give it to you but I know a website that would help you better and I don't feel like opening my laptop but desmos would be great for this if you don't already use it

Step-by-step explanation:

But you put the (2,4) in a box and the (-6,5) in another box and the answer will be where they connect like in and x

Answer:

B: Alternate Exterior Angles

Answer:

she uses 43 kilograms of clay in all

Step-by-step explanation:

Answer:

did you ever find the answer?

Step-by-step explanation:

Answer:

from what i see i see thats its D

if not im sorry but i hope i got it right

Step-by-step explanation:

Answer:

Apothem = 3.3 units

Step-by-step explanation:

A regular nonagon has an area of 102.4 and one side length measures 7 units long. Find the apothem. Round to the nearest tenth, if necessary.

The formula to find the area of a polygon when given Apothem and Side length =

A = 1/2 × a × p

Where p = no of sides of polygon × side length

In the above question,

We are given a polygon = nonagon = 9 sides

Side length = 7 units

p = 9 × 7 = 63 units

Area = 102.4 square units

Apothem = a = ?

We substitute into the formula

102.4 = 1/2 × a × 63

102.4 = 63a/2

Cross Multiply

102.4 × 2 = 63a

Divide both sides by 63

a = 102.4 × 2/63

a = 3.2507936508 units

Approximately to the nearest tenth = 3.3 units

Answer:

180-33 = 147

Step-by-step explanation:

Answer:

Sarah was driving faster by 10 mph.

She was driving 70 miles per hour while Jonathan was only driving 60 miles per hour.

Answer: D

Step-by-step explanation:

Answer:

Solve (x+2/x-3);(x-2/x-3) Equating the equation to zero and taking out (x-3) as common denominator (x+2)(x-2)/ (x-3)2 Solving using the identities we get => (x2– 4)/(x2 -6x + 9)= 0 => (x2– 4)=(x2-6x + 9) => -4= -6x +9 => -4 -9= -6x => -13= -6x => 13=6x => x= 13/ 6

Answer: 10

Step-by-step explanation:

Since the lines are parallel, the triangles are congruent. This means their side lengths are an equal ratio!

6 + 6 : 20 = 6 : ?

12:20 = 6:?

12:20 = 6:10

Answer is 10

Step-by-step explanation:

(3x-1)(x+1)=3(3x-4+x²)

open the brackets

=3x²+3x-x-1=9x-12+3x²

=3x²+2x-1=9x-12+3x²

collecting like terms

=3x²-3x²+2x-9x=-12+1

=-7x=-11

=x=11/7

Answer:

A math test

Step-by-step explanation:

I just Goggled it lol

Answer:

2(2x-1)/x(x-4)

Step-by-step explanation:

4x^2-14x+6/x^3-7x^2+12x

2(2x^2-7x+3)/x(x^2-7x+12)

2(2x^2-6x-x+3)/x(x^2-4x-3x+12)

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

Answer:

maybe 223 degrees

Step-by-step explanation:

Answer:

808+808=1616 340+340=680  then 1616-680=976

Step-by-step explanation:

you need to add 808 plus 808 which is 1616 then add 340 plus 340 which is 680, then subtract 1616-680 which is 976.

Answer:

50-50 chance

Step-by-step explanation:

Even: 2 4 6 8 10 12 14 16 18 20

Odd: 1 3 5 7 9 11 13 15 17 19 21

Answer:

50:50 chance

Answer:

4 for 3, 4 for 5, and 1 for 4

Step-by-step explanation:

khan academy

Answer:

3-4

4-1

5-4

Step-by-step explanation:

Count how many number there are and put them in the table.

Answer:

1 19/44 (1.4318182)

Answer:

1 19/44

Step-by-step explanation:

Answer:

A) 4 × 10^-2

B) 7.2 × 10^-2

C) 3.25 × 10^-5

D) 3 × 10^-3

E) 2.3 × 10^-1

Step-by-step explanation: