araceli9603
araceli9603 araceli9603
  • 18-08-2019
  • Mathematics
contestada


In rectangle PQRS, PR = 18x – 28 and QS = x + 380. Find the value of x and the length of each diagonal.

In rectangle PQRS PR 18x 28 and QS x 380 Find the value of x and the length of each diagonal class=

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 18-08-2019

Answer:

x = 24, PR = 404, QS = 404

Step-by-step explanation:

PR and QS are both diagonals of the rectangle. The diagonals of a rectangle bisect each other and are of equal length. Thus, we can say:

PR = QS

18x - 28 = x + 380

Solving for x, we get:

18x - x = 380 + 28

17x = 408

x = 408/17

x = 24

Thus, PR = 18(24) - 28 = 404  and  QS = 24 + 380 = 404

Third choice is right.

Answer Link

Otras preguntas

at least what dose is needed to the lens of the eyes to cause blindness?a. 100 cGyb. 500 cGyc. 750 cGyd. 1000 cGy
About my school in French
The fourteen patrol activities are____________
If there are 20 chromosomes in a monkey's body cells, how many chromosomes should be in a monkey's gametes cell?
Graph the image of AFGH after a dilation with a scale factor of 2, centered at the origin.
How do Macbeth and Lady Macbeth conceal and carry out their plot in Shakespeare's play Macbeth? Discuss which parts of the plan go smoothly and which do not, pr
What historical period is this artwork from? What type of art is it? Describe its three most important features.
The Corleonesi killed all the relatives of their competitors to the ______
Another name for the thesis of an argument is the ________. Responses
The four investigative steps for prowler calls are,___________