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irina [24]
4 years ago
6

ABCD is a rectangle. Use the diagram to answer the questions. The length of AB is . The length of BC is . The length of AC is

Mathematics
2 answers:
Art [367]4 years ago
7 0

The length of AB is "12" .

The length of BC is "5" .

The length of AC is "13".

Hope this helps!

Vilka [71]4 years ago
5 0
AB IS 12 because CD is 12 (rectangles have two pairs of equal sides)

BC IS 5 ^same rule above.

AC is point A connecting point C through the rectangle which is calculated by using the Pythagorean triangle theorem

You’ll see that the rectangle is split into two right triangles.

The formula for the theorem is a^2+b^2=c^2

a and b are two side lengths and c is the longest side (hypotenuse)

So in this case 5^2+12^2=c^2 where c^2 is side AC

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What is the meaning of the term theorem
AURORKA [14]
There are 4 terms in the world of *Mathematical proof*
Lemma, Proposition, Corollary and Theorem.
There is no difference between a lemma,
proposition, theorem, or corollary - they are all claims waiting to be proved. However, we use these terms to suggest different levels of importance and difficulty. A lemma is an easily proved claim which is helpful for proving other propositions and theorems, but is usually not particularly interesting in
its own right. A proposition is a statement which is interesting in its own right, while a theorem is a more important statement than a proposition which says something definitive on the subject, and often takes more effort to prove than a proposition or lemma. A corollary is a quick consequence of a proposition or theorem that was proven recently





5 0
3 years ago
❊ Simplify :
Nataliya [291]
<h3>Need to Do :- </h3>
  • To simplify the given expression .

\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 }

\rule{200}4

\sf\longrightarrow \small  \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small  \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) }  \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5)  } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3}   \\\\\\\sf\longrightarrow   \small  \dfrac{1}{x-2} +\dfrac{2}{x-3}  \\\\\\\sf\longrightarrow   \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) }  \\\\\\\sf\longrightarrow   \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) }     \\\\\\\sf\longrightarrow   \underset{\blue{\sf Required \ Answer  }}{\underbrace{\boxed{\pink{\frak{  \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}

\rule{200}4

5 0
3 years ago
Read 2 more answers
-3 1/2x - 4 = -38 1/8<br><br> How do I do this?
abruzzese [7]

Hello, I will try my best to explain this to you as simple as possible.

First, you have to pass the -4 to the other side, like this:

-3 1/2x - 4 = -38 1/8

              ↓

-3 1/2x = -38 1/8 - 4

Then, you have to subtract -4 from -38 1/8, like so:

-3 1/2x =  -38 1/8 - 4

              ↓

-3 1/2x = -42 1/8

My preferred method for this next step is this:

-3 1/2x = -42 1/8

              ↓

-7/2x = 337/8

Then, we divide:

-7/2x = -42 1/8

              ↓

x = (-337/8) / (-7/2)

x = 12.0357142857

So, the answer is: 12.0357142857.

Hope this helped! c:

8 0
3 years ago
A submarine dives at an angle of 13 degrees to the surface of the water. the submarine travels at a speed of 760 feet per minute
givi [52]
The submarine would be about 3800 ft. because if the submarine goes 760 ft. a minute than you just have to multiply 760 ft. by 5. Hope this helps.
8 0
3 years ago
Rachel is treating her three friends to go see The Avengers: End Game. Each movie ticket costs x dollars. Rachel orders each of
N76 [4]

Answer:

4(x+8) OR 4x+32

Step-by-step explanation:

4x+(4*3.75)+(4*4.25)

There are four people, so there are four tickets, four drinks, and four pieces of candy, so everything must be multiplied by four. Next, you need to either factor or simplify the equation.

If you want to factor it, the answer would be 4(x+8)

If you want it simplified, it would be 4x+32

7 0
3 years ago
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