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
Nikitich [7]
3 years ago
15

The diagonals of rectangle NOPQ intersect at point R. If OR=3x-4 and NP=5x+20, solve for x.

Mathematics
2 answers:
zhuklara [117]3 years ago
4 0
D) 28 is the right answer
find the attachments for the details

Cerrena [4.2K]3 years ago
4 0

Answer:

D. 28

Step-by-step explanation:

Please find the attachment.

We have been given that the diagonals of rectangle NOPQ intersect at point R. We are asked to find the value of x.

We will use diagonal property of rectangle, which states that diagonals of rectangle are equal and bisect each other.

Using diagonal property of rectangle, we can conclude that the segment NP is 2 times segment OR, so we can set an equation as:

2\times OR=NP

Upon substituting the given expressions for both segments we will get,

2(3x-4)=5x+20

Using distributive property we will get,

6x-8=5x+20

Subtracting 5x from both sides we will get,

6x-5x-8=5x-5x+20

x-8=20

Now, we will add 8 on both sides

x-8+8=20+8    

x=28

Therefore, the value of x is 28 and option D is the correct choice.

You might be interested in
Circle groups to show 4x(2x2).
MrRa [10]
The answer is 16 ok its going to help mabye
6 0
3 years ago
Read 2 more answers
Q=90 P=28 OP=92 feet
kherson [118]

Answer:

81.2 feet (nearest tenth)

Step-by-step explanation:

7 0
3 years ago
Find out the distance (2,0) and (-2,0)
Nadusha1986 [10]

Answer:

4 units

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x) = x4 + 3x3 - 5x2 - 9x - 2
olchik [2.2K]
Polynomials in the fourth degree are called quartic equations. In solving the roots of polynomials, there are techniques available. For quadratic equations, you use the quadratic formula. For cubic equations, you use the scientific calculator. But for quartic equations and higher, it is very complex. The method is very lengthy and can get very messy because you introduce a lot variables. So, I suggest you do the easiest method to estimate the roots.

Graph the equation by plotting arbitrary points. The graph looks like that in the figure. The points at which the curve passes the x-axis are the solution which are encircled in red.In approximation, the rational roots or zero's are -3.73, -1, -0.28 and 2.

3 0
3 years ago
Jack has $20.08 in his pocket. He buys a book for $8.72. How much does he have left?\
lakkis [162]
If you subtract the amount that Jack spent on the book ($8.72) from the amount of money that Jack originally had ($20.08) then you get $11.36 left over.
6 0
3 years ago
Other questions:
  • What is 412 divine by 8 but in Interpret the remainder Way please help
    7·1 answer
  • <img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=
    9·2 answers
  • Please differentiate this problem
    12·1 answer
  • Would the answer be 12.5
    9·1 answer
  • 100 POINTS!!!!!!!!!!!!!!!!
    11·2 answers
  • My question is that is 22.7 degrees colder than 96.5 degrees?
    5·2 answers
  • PLEASE HELP<br> What is the volume of the prism below?
    13·1 answer
  • Write the equation of the line in fully simplified slope-intercept form.
    7·1 answer
  • Hello guys I'm getting bored can anyone talk with me​
    9·2 answers
  • Simplify the expression to a + bi form:<br> (-7 - 3i) + (-5 + 10i)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!