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
alisha [4.7K]
3 years ago
14

In rectangle PQRS, PR = 11x – 20and QS = x + 160.

Mathematics
1 answer:
Goshia [24]3 years ago
5 0

Answer:

\large \boxed{1.\, x = 18; 2.\, 178}

Step-by-step explanation:

1. Value of x

The diagonals of a rectangle are equal, so

PR = QS

\begin{array}{rcll}11x - 20 & = & x + 160 & \\11x &= & x + 180 & \text{Added 20 to each side}\\10x & = & 180 & \text{Subtracted x from each side}\\x& = & \mathbf{18} &\text{Divided each side by 10}\\\end{array}\\\large \boxed{\mathbf{x = 18}}

2. Length of each diagonal

PR = 11x - 20 = 11×18 - 20 = 198 - 20 = 178

QS = x + 160 = 18 + 160 = 178

The length of each diagonal is 178.

You might be interested in
Write the fraction as a decimal.<br> 310
WINSTONCH [101]

Answer:

310

Step-by-step explanation:

What is 310 as a decimal? To write 310 as a decimal you have to divide numerator by the denominator of the fraction. 310 is not a fraction so it is a decimal already.

7 0
3 years ago
Read 2 more answers
What is a blind spot for a driver of a car
sergij07 [2.7K]

It is the areas of a road that can not be seen by the driver when looking forward or through the side mirrors or rear-view.

-Mabel <3

(If you don't mind, please give brainliest )

3 0
4 years ago
PLease help me please
valkas [14]
Xy+24=x22 that is the answer hope it helps
7 0
3 years ago
Solve the following for w: P=2l+2w
exis [7]

Answer:

w = P/2 - 1

Step-by-step explanation:

Can I have brainliest?

8 0
3 years ago
Yo-yo yo answer for brainlest
vampirchik [111]
Answer below (B) Hope it’s helpful

4 0
3 years ago
Read 2 more answers
Other questions:
  • 0.7 is 10 times as much as
    7·2 answers
  • Wgats the square root of 0
    14·1 answer
  • HELP JOHN CHEN I need help
    13·1 answer
  • Write an equation of the line that is perpendicular to 3x + 9y = 7 and passes through the point (6, 4).
    13·2 answers
  • According to the two-way table, how many people are in Group 1?
    14·2 answers
  • Find the product 8/6n - 4(9n^2 -4)
    11·1 answer
  • Please hurry it’s urgent thank you
    6·1 answer
  • Given
    6·1 answer
  • What is 2+2+2+2 will mark brainliest.
    15·1 answer
  • What is the answer for this​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!