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
musickatia [10]
3 years ago
5

Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0

9514 1404 393

Answer:

  • ΔABC ~ ΔPQR
  • PQ = 8
  • PR = 14

Step-by-step explanation:

Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...

  ΔABC ~ ΔPQR by AA similarity

__

The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.

  PQ = 2·AB = 2·4 = 8

  PR = 2·AC = 2·7 = 14

The side lengths of interest are ...

  PQ = 8, PR = 14

You might be interested in
Graph y=x+1/x² and y=1/x for positive values of x.
AlekseyPX

Answer:

Graphic is showed in the figure below

Step-by-step explanation:

To graph the equations given, let's do a table for positive values of x, and, by replacing it in the equation, let's calculate the value of y. Knowing the coordinate points (x,y) we can build the graphic.

<em>x        y= x + 1/x²       y = 1/x</em>

1             2                    1

2          2.25               0.2

3          3.11                 0.33

4          4.06               0.25

When x->0 both equations -> ∞, because lim(1/x) x->0 = ∞

The graphic is showed below. In red there is y = 1 + 1/x² and in blue y = 1/x

6 0
3 years ago
Legolas shoots 3 arrows at once from his bow. He has 177 arrows. How many times can Legolas shoot his bow before he needs more a
Nataliya [291]

Answer:

59

Step-by-step explanation:

3x=177

3x represents the # of arrow he can shoot at once every time

177 represents the total # of arrow he has

3 0
3 years ago
Need help ASAP please please
Rama09 [41]

Answer:

-10,-11, -12

Step-by-step explanation:

All are bigger

4 0
4 years ago
Read 2 more answers
What is the midpoint of AB?
spayn [35]

Answer: Point G.

Step-by-step explanation:

Count the number of spaces between points A and B. Then divide that number by 2 and count that many spaces from one point.

14/2=7

I hope this helps!! Pls mark brainliest :)

6 0
2 years ago
Read 2 more answers
Which proportion can be used to convert 22 kilograms to grams
Verizon [17]

1kg=1000g

Thus, 22kg=22000g

3 0
3 years ago
Read 2 more answers
Other questions:
  • F(n)=n^2+2n find f(-6)
    8·1 answer
  • 9.A couple just had twin boys, but they can't decide between the names Mike, Mark, Peter, Paul, Sam, and Sonny. If the couple ra
    6·1 answer
  • In the figure, lines a, b, and c are parallel and m∠4=156° . Drag and drop the correct angle measure for each angle.
    12·2 answers
  • Mrs.Ruiz bought 5 bags of balloons for a party.Each bag contained 70 balloons.Andy said mrs.Ruiz bough a total of 75.Andy is inc
    13·1 answer
  • A publisher reports that 26% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is
    8·1 answer
  • The admission fee at an amusement park is $2.50 for children and $5.80 for adults. On a certain day, 343 people entered the park
    7·1 answer
  • PLS HELP ME!!!! ASAP I WILL MARK BRAINLIEST!!!!!!
    12·2 answers
  • I REALLY NEED HELP!!!
    12·2 answers
  • Help me!!!<br> Determine if the two figures are congruent and explain your answer. (10 points)
    9·1 answer
  • Hey, me again I NEED HELP ASAP!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!