1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Montano1993 [528]
3 years ago
13

Lengths of Rectangles

Mathematics
1 answer:
Furkat [3]3 years ago
6 0

Answer:

AB = 5

BC = 12

AC = 13

Step-by-step explanation:

A rectangle is a quadrilateral and therefore, opposite sides are parallel and congruent to each other. Thus:

AB = CD = 12

AB = 12

BC = AD = 5

BC = 5

AC is a diagonal of the rectangle, use Pythagorean theorem to find it's length as follows:

AC² = AD² + CD²

Plug in the values

AC² = 5² + 12²

AC² = 169

AC = √169

AC = 13

You might be interested in
F(x)=3(x+5)+4/x, what is f(a+2)
likoan [24]

the answer would be= -2fx+3x^2+15+a/fx

8 0
2 years ago
25 POINTS PLZ ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!
nikitadnepr [17]

Answer:

3rd one

Step-by-step explanation:

they already have two red cards and the box of n cards was divided equally among 4 people

6 0
3 years ago
Read 2 more answers
Divide. Enter the quotient in simplest form.<br><br> 3/10 ÷ 4/5 =
Tju [1.3M]

Answer:

<h2>3/10 ÷ 4/5 = 3/8</h2>

Step-by-step explanation:

<h2>3/10 ÷ 4/5 = 0.375 = 3/8</h2>
7 0
2 years ago
The perimeter of a rectangle is equal to 40. If the length is halved and the width is divided by 3, the new perimeter is decreas
Tanzania [10]

Answer:

8

Step-by-step explanation:

<em>   M = Original perimeter = 40</em>

<em>    M = 2 w + 2 l = 2 ( w + l )</em>

<em>           40 = 2 ( w + l )</em>

Divide both sides by 2 (simplify)

<em>                20 = w + l</em>

<em>                w + l = 20</em>

Subtract w from both sides

<em>        w + l - w = 20 - w</em>

<em>             l = 20 - w</em>

If the length is halved and the width is divided by 3 mean:

          <em>New length l1 = l / 2 = ( 20 - w ) / 2 = 10 - w / 2</em>

<em>                       New width w1 = w / 3</em>

The new perimeter is decreased by 24 mean:

        <em> P1 = New perimeter = 40 - 24 = 16</em>

<em>             P1 = 2 w1 + 2 l1 = 2 ( w1 + l1 )</em>

<em>                    16 = 2 ( w1 + l1 )</em>

Divide both sides by 2

           8 = w1 + l1

            w1 + l1 = 8

             w / 3 + 10 - w / 2 = 8

 Subtract 10 to both sides

           w / 3 + 10 - w / 2 - 10 = 8 - 10

             w / 3 - w / 2 = - 2

               2 w / 6 - 3 w / 6 = - 2

                 - w / 6 = - 2

Multiply both sides by - 6

       ( - 6 ) ∙ ( - w / 6 ) = ( - 2 ) ∙ ( - 6 )

                w = 12

                   l = 20 - w = 20 - 12 = 8

Proof:

Original perimeter:

        <em>P = 2 w + 2 l = 2 ( w + l ) = 2 ∙ ( 12 + 8 ) = 2 ∙ 20 = 40</em>

New length:

       <em>l1 = l / 2 = 8 / 2 = 4</em>

New width:

        <em>w1 = w / 3 = 12 / 3 = 4</em>

New rectangle will be the square. ( the square is a special case of the rectangle )

New perimeter:

      <em>P1 = 2 w1 + 2 l1 = 2 ( 4 + 4 ) = 2 ∙ 8 = 16</em>

The length of the original rectangle:

                                <u>l = 8</u>

                            <u>Answer 2</u>

5 0
2 years ago
Find the value of x<br>Thanks!
statuscvo [17]
Hi there!

From the given information, we can infer that the inner quadrilateral has equal side lengths of x and 2x-3.

We can turn this into a mathematical equation with 1 variable.

x = 2x - 3

Subtract both sides by 2x

-x = -3

Multiply both sides by -1

x = 3

Have an awesome day! :)

~collinjun0827, Junior Moderator
7 0
3 years ago
Other questions:
  • What is equivalent to 84 1/4
    14·1 answer
  • Conrad savings Bank has $50 overdraft fee. On Friday, Mr. McQuire despoited his paycheck of $468.92 for a total account balance
    6·1 answer
  • What is an equation of the line that passes through the point (-2,-4) and is parallel to the line 5x-2y=6?
    9·1 answer
  • A worker makes $ 600,000 a month, how much do you earn in a year?
    8·2 answers
  • A large cheese pizza costs $7.50. Each additional topping for the pizza costs $1.35. If the total bill for the pizza Sally order
    14·1 answer
  • How much is this worth? Twice as much as 5 dimes and 3 pennies *
    14·2 answers
  • HELPPPPPPPPPPPPPP After performing in the high school musical, Monica receives three different bouquets of flowers. One contains
    8·1 answer
  • Draw a picture first, then use the Pythagorean Theorem to solve. Round
    12·1 answer
  • Lisa flipped a coin 50 times and got a head 20 times. What was the experimental probability of flipping a heads? what is the the
    14·1 answer
  • Next, the team wants to explore how it can change the steepness of the curved pit. Identify how the graph of each equation compa
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!