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
Simora [160]
3 years ago
14

Find UV (Pic Stated Below)

Mathematics
1 answer:
natta225 [31]3 years ago
7 0

Answer:

UV=29

Step-by-step explanation:

In right triangles AQB and AVB,

∠AQB = ∠AVB ...(i)  {Right angles}

∠QBA = ∠VBA ...(ii)  {Given that they are equal}

We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle


∠AQB+∠QBA+∠BAQ=180 ...(iii)

∠AVB+∠VBA+∠BAV=180 ...(iv)


using (iii) and (iv)

∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV

∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV  (using (i) and (ii))

∠BAQ=∠BAV...(v)


Now consider triangles AQB and AVB;

∠BAQ=∠BAV  {from (v)}

∠QBA = ∠VBA {from (ii)}

AB=AB  {common side}

So using ASA, triangles AQB and AVB are congruent.

We know that corresponding sides of congruent triangles are equal.

Hence

AQ=AV

5x+9=7x+1

9-1=7x-5x

8=2x

divide both sides by 2

4=x

Now plug value of x=4 into UV=7x+1

UV=7*4+1=28+1=29

<u>Hence UV=29 is final answer.</u>

You might be interested in
Joe swam at the rate of 4.5 miles per hour. Joseph swam at the rate of 1/12 of a mile per minute. Who was swimming faster? By ho
kiruha [24]
Joseph was swimming faster because 1/12 of a mile per minute is around 5 miles per hour so Joseph was swimming 0.5 miles per hour faster than Joe.
7 0
3 years ago
Read 2 more answers
The question is in the screenshot!!
Ira Lisetskai [31]
Yeah, but can we see the screenshot
7 0
2 years ago
A right cylinder has a radius of 5 and height of 9. What is it’s surface area?
Art [367]

Answer:140pi units 2 squared

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A company that makes rainbow-colored shoestrings gives bonuses to employees based on how many shoestrings an employee produces.
BARSIC [14]
Please do not listen to these links or click on them I’m pretty sure they’re a scam to get rid of them just put at the top of your questions do not put any links or else I will be reporting stay safe!
4 0
3 years ago
I need help with this question plzzzzzzzz
mina [271]

Answer:

Your answer is A.

Step-by-step explanation:

If you take the Cords of 'A' and make them both negative you will find your answer.

6 0
3 years ago
Other questions:
  • Determine whether the sequence is arithmetic if so what’s the common difference -9 -33-57-81
    9·1 answer
  • How do you do this, I don’t understand it
    12·2 answers
  • What is a horseshoe crab?
    6·1 answer
  • 27.) If a ≠ 0, then lim (x^2 - a^2)/(x^4 - a^4) is:<br> x-&gt;-a
    10·1 answer
  • I tried solving it but I get them wrong. I forgot the formula to solve them.
    14·2 answers
  • What is the end behavior of the polynomial function graphed below?
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=-a-%5Cfrac%7B7%7D%7B8%7D%20a" id="TexFormula1" title="-a-\frac{7}{8} a" alt="-a-\frac{7}{8} a"
    7·2 answers
  • The graph of a function f(x) passes through the following points: (0,0), (1, -2), (2,0) Which of the following could be f(x)?
    9·1 answer
  • -2 (3 + 5y -10) = 34
    13·2 answers
  • Hey guys!!! I forgot how to do this :/ lol<br> whats 10+4÷2?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!