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
Please help I don’t understand this..
Paraphin [41]

Answer:

its your problems

Step-by-step explanation:

your job is to find solutions by your self

and <u>thank </u><u>me </u><u>later</u>

4 0
3 years ago
8-2x=-4x+4<br> answer help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
rodikova [14]

Answer:

Step-by-step explanation

subtract 8 from both sides

8-2x-8=-4x+4-8

simplify

-2x=-4x-4

add 4x to both sides

-2x+4x=-4x-4+4x

Simplify

2x=-4

divide both sides by 2

2x/2=4/2

simplify

x=-2

7 0
3 years ago
Read 2 more answers
What does 0 mean in a number line
Ivenika [448]
It means nothing. Example: <span>3 – 3 means start at 3 and go down 3.
</span>
<span />
4 0
4 years ago
The coordinates of which point are (–3, –6)? On a coordinate plane, point A is (negative 3, 6), point B is (negative 6, negative
julia-pushkina [17]

Answer:

Point c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
In the diagram below, what is the relationship between the number of triangles and the perimeter?
Eduardwww [97]

The perimeter "P" is equal to the length of the base of one triangle multiplied by the "n" number of triangles in the figure plus two times the length of another side. The equation for the perimeter is P = 5n + 14.

We are given triangles. The triangles are arranged in a certain pattern. The length of the base of each triangle is equal to 5 units. The length of the other two sides is 7 units each. We conclude that all the triangles are isosceles. We need to find the relationship between the number of triangles and the perimeter of the figure. Let the perimeter of the figure having "n" number of triangles be represented by the variable "P".

P(1) = 14 + 5(1)

P(2) = 14 + 5(2)

P(3) = 14 + 5(3)

We can see and continue the pattern. The relationship between the perimeter and the number of triangles is given below.

P(n) = 14 + 5n

To learn more about perimeter, visit :

brainly.com/question/6465134

#SPJ1

3 0
1 year ago
Other questions:
  • How do I round the number to those explanations and do question 2 so confused
    5·1 answer
  • Help me practice, given a situation involving a dilation be prepared to determine the scale factor [will give brainliest and tha
    12·1 answer
  • Find the equation of a line passing through the given point and perpendicular to given equation.
    11·1 answer
  • A rock is thrown from the top of a tall building.The distance in feet between the rock and the ground t seconds after thrown is
    13·1 answer
  • Number 2 , answer ? I don’t know the answer and I need help
    5·1 answer
  • 2p + 8 = -2p what is p
    12·2 answers
  • Abc is an equilateral triangle and has an area of 8/5. point d is the midpoint of side ab, point e is the midpoint of side bc, a
    5·1 answer
  • Write the composite number for each prime factorization. You may wish to use a calculator.
    8·1 answer
  • 3) The International Space Station takes 644 minutes to orbit Earth 7 times. About how long does each orbit take? I got 92 am I
    15·1 answer
  • Help anyone pleaseee
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!