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
Anna35 [415]
3 years ago
14

Are the triangles congruent, if so by what theorem/postulate

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Yes, SSS

PR are already a given side. PS and PQ are also given sides. Lastly, RS and RQ are given sides.

You might be interested in
The variables x and y have a proportional relationship, and y= 5/6 which equation represents this relationship? x= 3/4. Which eq
Novosadov [1.4K]

Answer:

(d)  y= (1 1/9)x

Step-by-step explanation:

A proportional relation is described by the equation ...

 y = kx

Dividing by x shows how to find the value of k:

 k = y/x

For the given values of y and x, the value of k is found to be ...

 k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9

The relationship is represented by the equation ...

 y = (1 1/9)

3 0
2 years ago
Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea
elena-s [515]

Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) =  P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

  • The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
  • There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways to select exactly 3 aces is:

4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725

Then, the probability P(B) that at least three are aces is:

P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:

P(A∩B) = 1/270,725

Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

5 0
3 years ago
What is the vertex of r(x) ? Use r(x)=1/2(x+9)(x-5)
IceJOKER [234]

(0, -[\frac{45}{2})

3 0
3 years ago
0.5 is what type of number?
zepelin [54]
0.5 is a rational number.
4 0
2 years ago
Read 2 more answers
Anyone good with comps it’s figures?
Gennadij [26K]

Answer:

answer: 379.2

Hope this helps!

6 0
3 years ago
Read 2 more answers
Other questions:
  • Given line L = ax + by + c = 0, b 0 What is the x-intercept? y-intercept?
    9·1 answer
  • Find the sum of the measures of the interior angles of each of the following convex polygons: a pentagon, an octagon, a dodecago
    8·2 answers
  • Which scale factors produce a contraction under a dilation of the original image?
    9·1 answer
  • HELP PLEASE!!<br><br> k - ( - 5/6) = - 1/6
    9·1 answer
  • 16. Find the median for the following data. 16, 15, 14, 14, 17, 13, 17, 14
    13·2 answers
  • F+40/−3≥−16 <br><br><br>f = 2<br>f = 5 <br>f = 8<br>f=11
    5·1 answer
  • Un par de zapatos más dos pantalones valen $ 70.000 en una tienda. Se ofrece una oferta, al comprar dos o más pares de zapatos d
    15·1 answer
  • Hannah decided to curl up and read a good book. She started reading at 10:00 a.m. and
    8·1 answer
  • Betwermie which of the following relation ships are true. select one that applies
    7·2 answers
  • 23
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!