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
Irina-Kira [14]
2 years ago
13

LMNP is a rectangle. Find the value of x and the length of each diagonal.

Mathematics
2 answers:
Neporo4naja [7]2 years ago
7 0

Solution:

<u>We know that:</u>

  • Given diagonals: LN and MP
  • LN and MP must be equal because they are diagonals of LMNP.
  • LN = 4x + 3
  • MP = 8x - 9

<em>Since LN and MP must be equation</em>, <u>equation formed:</u> 4x + 3 = 8x - 9

<em>Let's simplify the equation to find x.</em>

<u>Subtracting 4x both sides.</u>

  • 4x + 3 = 8x - 9
  • => 4x - 4x + 3 = 8x - 9 - 4x
  • => 3 = 4x - 9

<u>Add 9 both sides.</u>

  • => 3 = 4x - 9
  • => 3 + 9 = 4x - 9 + 9
  • => 12 = 4x

<u>Divide 4 both sides.</u>

  • => 12 = 4x
  • => \frac{12}{4}  = \frac{4x}{4}
  • => x = 3

<em>Now, let's find the length of each diagonal.</em>

  • LN = 4x + 3 = 4(3) + 3 = 12 + 3 = 15 \space\ units
  • MP = 8x - 9 = 8(3) - 9 = 24 - 9 = 15 \space\ units

Harlamova29_29 [7]2 years ago
3 0

Diagonals are equal

\\ \rm\Rrightarrow 4x+3=8x-9

\\ \rm\Rrightarrow -4x=-12

\\ \rm\Rrightarrow x=-12/-4

\\ \rm\Rrightarrow x=3

You might be interested in
What is the solution to-5x=-75​
Furkat [3]

Answer:

-15

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Plz help multiply and divide one step​
emmainna [20.7K]

Answer:

The value if y is -7

hope it helps you

4 0
2 years ago
Read 2 more answers
What property is shown by the equation?
galben [10]

wait what is it i needddd helllpppp


6 0
3 years ago
Complete the statement about statistical studies.
Olenka [21]
A - survey

Because i know everything
4 0
2 years ago
Read 2 more answers
Use the drop-down menus to compare −2.25 and −3.
Kisachek [45]
-2.5>-3 because the bigger a negative number is like -15,-18, etc the smaller it’s value actually gets so -2.5 is greater because it is closer to 0 on a number line.
5 0
2 years ago
Read 2 more answers
Other questions:
  • Rick has 22 comic books which is more
    8·1 answer
  • Multiply the polynomials.
    5·2 answers
  • If two sides of a right angled triangle are 5cm and 6cm long, how many possibilities are there for the length of the third side?
    7·1 answer
  • HELP QUICK PLEASE!!!! 20PTS!!!!!
    11·1 answer
  • A similarity transformation maps polygon ABCD to polygon PQRS. If the length of is 6 and the length of the corresponding side, ,
    10·2 answers
  • Find the sum of -6/ab + a^2/b^2
    12·1 answer
  • Sue charges a flat rate of $20 plus $10 per hour it takes her to mow a lawn. Which equation shows the correct way to find the co
    6·1 answer
  • What is 789 times 26372
    11·1 answer
  • The length of a rectangle is 10 inches more than 4 times the width. If the area of the rectangle is 150 square
    11·1 answer
  • How many feet are in 1 yard?​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!