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
Mice21 [21]
3 years ago
12

What is the length of side PQ in this figure?

Mathematics
2 answers:
balandron [24]3 years ago
7 0

Answer:

option: C

Step-by-step explanation:

To find the side PQ ; we need to first find the length of the given line segment which is perpendicular to side PR; let name it as QS.

Now as ΔQSR is an right angled triangle.

and the length of the side QR and SR is given , so using Pythagorean theorem we have

QR^{2}=SR^{2}+QS^{2}

5^{2}=3^{2}+QS^{2}\\ \\QS^{2}=5^{2}-3^{2}\\\\QS^{2}=25-3=16=4^2

⇒  QS=4

Now again ΔQSP is an right angled triangle; so using Pythagorean theorem in ΔQSP we have

PQ^{2}=QS^{2}+PS^{2}\\ \\PQ^{2}=4^{2}+6^{2}=16+36=52

This means QS=\sqrt{52}=2\sqrt{13}

Hence, the length of side PQ is \sqrt{52}=2\sqrt{13}.

Hence, option C is correct.




Elina [12.6K]3 years ago
5 0
I hope this helps you

You might be interested in
9) The base and the height of a rectangle are represented by the expressions below.
Nuetrik [128]
9 :


Given,
Perimeter = 88 units
Base = x + 4
Height = x - 6





= > Perimeter of Rectangle = 2( base + height )


= > 88 = 2{ ( x + 4 ) + ( x - 6 ) }

= > 88 / 2 = { x + 4 + x - 6 }

= > 44 = 2x - 2

= > 46 = 2x

= > 46 / 2 = x

= > 23 = x





Therefore,


Length of base = ( x + 4 ) units = ( 23 + 4 ) units = 27 units

Length of height = ( x - 6 ) units = ( 23 - 6 ) units = 17 units





10 :




Given,
First integer = x
Second integer = x + 2
Third Integer = x + 4




Given that the sum of all integers is 36


= > ( x ) + ( x + 2 ) + ( x + 4 ) = 36

= > x + x + 2 + x + 4 = 36

= > 3x + 6 = 36

= > 3x = 30

= > ( 3x ) ÷ ( 3 ) = ( 30 ) ÷ ( 3 )

= > x = 10





\text{Hence,  }
Value of first integer = x = 10
3 0
3 years ago
Which equation represents each scenario
Mkey [24]

Answer:

if she question 1 spend $25 out of the $150, then you would do 150 sub 25 to get 125

Kevin has 10 signs. he's adding 5 signs, so divide 10 to 5 to get 2

Harvey has 5 in 1 minute, i would say in 2 minutes he'll have 10

Fran adds $25 to her $150 then she'll get $175.

Step-by-step explanation:

P= Parentheses  

E= Exponent      

M= Multiplication

D= Division

A= Addition

S= Subtraction

If this doesn't help then sorry , hope this helps.

4 0
2 years ago
Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain. A. No, they do not both mean the same
Yuri [45]

Answer:

B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.

Step-by-step explanation:

Given

Phrase 1: 6 less a number y

Phrase 2: 6 less than a number y

<em>Mathematically,</em>

Phrase 1 can be represented as follows;

y - 6

<em>Mathematically,</em>

Phrase 2 can be represented as follows;

y - 6

<em>Since the representation  of both phrases are the same, then option B answers the question.</em>

<em></em>

4 0
3 years ago
Does anyone know the answers???
Vikentia [17]

Answer:

20. C, 21. A, 22. B

Step-by-step explanation:

20. Terms are numbers with variables next to them.

21. T can be anything. It can't be irrational because timers have a certain number. So for example, swimmer swims in 10 seconds, 18.5 seconds, 18.67 seconds, and so on.

22. If you solve 3x ≥ -12 and 8x ≤ 16, you get 3x ≥ -12; x = -4, and 8x ≤ 16; x = 2.

Hope it Helps!

Plz give brainliest. It would be appreciated!

7 0
3 years ago
5002190 in expanded firm
bezimeni [28]
5000000 000000 0000 2000 100 90 0 i hope this helps
6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the solution to -x + 5 = -3.
    8·2 answers
  • HELP I WILL GIVE BRAINLIEST THANKYOU PLEASE YOU DONT HAVE TO ANSEER ALL
    8·2 answers
  • I need help with these
    11·1 answer
  • .Find the Z-sCore corresponding to the given value and use the z-SCore to determine whether the value is unusual. Consider a sco
    10·1 answer
  • The common ratio in a geometric series is 0.5 and the first term is 256.
    5·1 answer
  • pls show steps and formula
    15·1 answer
  • Please help me with this problem
    5·1 answer
  • Debra runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
    11·1 answer
  • If 2x-3=4 <br>so x is ??<br>wrong answer will be reported ​
    13·2 answers
  • Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson h
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!