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
sveta [45]
4 years ago
5

Angle PQR is a right angle. The three quadrilaterals shown are squares. The sum of the areas of the three squares is 338 square

centimeters. What is the number of square centimeters in the area of the largest square?

Mathematics
1 answer:
DiKsa [7]4 years ago
3 0

Answer:

169 cm²

Step-by-step explanation:

Recall that the area of the largest square is |PR|²

Also recall from Pythagoras Theorem that:

|PQ|² +|QR|² =|PR|² ---->1

Also we have that the sum of the areas of the three squares is 338 square centimeters.

This implies that:

|PQ|² +|QR|² +|PR|²=338---->2

Put equation (1) into (2)

|PR|²+|PR|²=338

Simplify to get:

2|PR|²=338

Divide both sides by 2 to get:

|PR|²=338

|PR|²=169

You might be interested in
Help me answer this question
icang [17]

Answer:

7m

Step-by-step explanation:

1. find ratio of small to large triangle (6:18 = 1:3 / 8:24 = 1:3)

2. find blank side of smaller triangle (if ratio is 1:3 then take the large triangle side that matches the smaller unknown side and divide by 3 to size down the line to find unknown side)

  • 21m/3m = 7m

Answer = 7m

7 0
3 years ago
Use the spinner to find the theoretical probability of the events. Type your answer in the box below in simplified fraction form
Stella [2.4K]

Answer:

Step-by-step explanation:

A: if both 6 and 3 are red then the probability for a red is 2/6 or 1/3, if only 3 or 6 is a red then it is 1/6

B: spinning a 1 is 1/6 probability

C: spinning an odd number is 3/6 or 1/2 as half of the numbers are odd

D: 0 probability as there are no 9

3 0
3 years ago
What is answer to 7x10 to the 5th power
Sergeu [11.5K]
6 x 10 to the 9th  power

4 0
3 years ago
What is m∠AEB? <br> (See attachment)
aleksley [76]
Hey there,
Angle AEB + Angle CED = 180 degrees (vertically opposite angles)
(5x-10) degrees + (3x + 40) degrees = 180 degrees
5x -10 + 3x + 40 = 180 degrees
5x + 3x= 180 + 10 - 40
8x = 150
x = 150 / 8
   = 18.75 degrees 
Angle AEB = (18.75 x 5) - 10 
                  =83.75 degrees.

Hope this helps ^_^

~Top
3 0
3 years ago
If 60% of a number is 90, what is 4/5 of the <br>number?​
sukhopar [10]

Answer:

120

Step-by-step explanation:

Let the required number be x

So,

60% of x = 90

0.6x = 90

x = 90/0.6

x = 900/6

x = 150

\frac{4}{5} x =  \frac{4}{5}  \times 150 = 4 \times 30 = 120 \\

7 0
3 years ago
Other questions:
  • Evaluate. 3m - n when m = −9 and n = -2
    9·1 answer
  • Solve the inequality
    6·1 answer
  • CAN SOMEONE HELP I WILL MARK BRAINLEST!!!!!!!!!!!!!!!!!
    12·1 answer
  • 16) Please help with this question. Please answer with normal text (Ex: pi/4,etc... not math settings).
    11·1 answer
  • Given the parent function f(x) = 2x, which graph shows f(x) + 1?<br><br> answer is the photo!
    11·2 answers
  • Please answer thanks! :)
    14·2 answers
  • Given 1 and 3 are supplementary Prove A is parallel to B
    9·1 answer
  • What are the zeros for the function f(x)=x^3-4x
    5·1 answer
  • Please Hurry!!!!!<br><br> 55% of what number is 24?<br> Provide an exact fraction answer.
    14·2 answers
  • What is the range of the function fx) = -2(6x) + 3?<br> (-∞,-2]<br> (-∞,3) <br> [-2,∞) <br> [3,∞)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!