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
yarga [219]
3 years ago
8

R, S, and T are the vertices of one triangle. E, F, and D are the vertices of another triangle. m∠R = 60, m∠S = 80, m∠F = 60, m∠

D = 40, . Are the two triangles congruent? If yes, explain and tell which segment is congruent to

Mathematics
2 answers:
Vladimir79 [104]3 years ago
7 0
The correct answer is in file attached  
<span>we have<span>
</span>triangle RST<span>
</span><span>m∠R = 60, m∠S = 80  and m∠T=180-(80+60)=40</span></span>
<span>RS=4<span>
</span>triangle EFD<span>
</span><span>m∠F = 60, m∠D = 40  and m∠E=180-(60+40)=80</span></span>
EF=4  
Therefore
  <span>The triangles RST<span>  and </span>EFD are congruents because they have two angles and the side common to them, respectively, equal.
This is the theorem of ASA (angle-side-angle).</span>
Explication
Side common--------> RS=EF
<span>Angles RS------------- > m∠<span>R = 60  m</span>∠S = 80 </span>
<span>Angles EF------------- > m∠<span>E = 80  m</span>∠F = 60 </span>    

<span>The segment which is congruent to RT is FD, because angles of RT are 60 and 40, and angles of FD also are 60 and 40.</span>

timurjin [86]3 years ago
4 0

the answer is A.......

You might be interested in
Is the following expression true or false? [x^2 + 8x + 16] · [x^2 – 8x + 16] = (x2 – 16)^2
Vilka [71]

(x^{2} +8x+16)(x^{2} -8x+16)\\(x+4)^{2} (x-4)^{2} \\(x^{2}-16)^{2} \\

it is true; just work them out, you should get what they got :))

3 0
3 years ago
Read 2 more answers
Angles EDF and FDH are
storchak [24]

Answer:

Can you get a picture please or more detail...

4 0
2 years ago
Read 2 more answers
Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x/6x^2 +
timama [110]

Looks like your function is

f(x)=\dfrac x{6x^2+1}

Rewrite it as

f(x)=\dfrac x{1-(-6x^2)}

Recall that for |x|, we have

\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n

If we replace x with -6x^2, we get

f(x)=\displaystyle x\sum_{n=0}^\infty\frac(-6x^2)^n=\sum_{n=0}^\infty (-6)^n x^{2n+1}

By the ratio test, the series converges if

\displaystyle\lim_{n\to\infty}\left|\frac{(-6)^{n+1} x^{2(n+1)+1}}{(-6)^n x^{2n+1}}\right|=6|x^2|\lim_{n\to\infty}1=6|x|^2

Solving for x gives the interval of convergence,

|x|^2

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.

3 0
2 years ago
Need answers plz help
stiv31 [10]
You can use the factors of the volumes 24, 27 and 48:
For example:
8 by 3 by 1 is a total volume of 24
or if you know that 4 times 2 is 8:
4 by 2 by 2
and so on
3 0
3 years ago
After Friday's footbal game, Alana and her friends go out for ice cream. They share mega mountains sundae and finished the whole
Mrrafil [7]
What’s the question
6 0
3 years ago
Other questions:
  • These ones always confuse me.
    11·1 answer
  • April recieved $1,800 from her grandmother as a birthday gift. She decided to put the money in an account to save for college. I
    11·1 answer
  • 17minus negative12 minus22
    6·2 answers
  • The product of 2 and a number minus 9 is 13
    15·1 answer
  • The following information is given for Tripp Company, which uses the indirect<br> method
    15·1 answer
  • Lauren is a college sophomore majoring in business. This semester Lauren is taking courses in accounting, economics, management
    14·1 answer
  • X - y = 8 and -x + y = 4 solve the equation of linear equations by substitution​
    6·1 answer
  • What is the greatest common factor for both terms: 24x + 8
    5·1 answer
  • How can you tell there is no solution of a system of equations by looking at the equations or the graph? Explain.​
    7·1 answer
  • HELP ME PLEASE IXL !!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!