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
Thepotemich [5.8K]
3 years ago
5

State if the triangles in each pair are similar. If so, state how they are similar and complete the similarity statement​.

Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

Δs DEF and DRQ not similar ⇒ 2nd answer

Step-by-step explanation:

Let us revise the cases of similarity

  1. AAA similarity : two triangles are similar if all three angles in the first  triangle equal the corresponding angle in the second triangle
  2. AA similarity : If two angles of one triangle are equal to the  corresponding angles of the other triangle, then the two triangles  are similar
  3. SSS similarity : If the corresponding sides of the two triangles are  proportional, then the two triangles are similar
  4. SAS similarity : In two triangles, if two sets of corresponding sides  are proportional and the included angles are equal then the two  triangles are similar.  

In triangles DEF and DRQ

∵ m∠EDF = m∠REQ ⇒ vertical opposite angles

∵ m∠E ≠ m∠R

∵ m∠F ≠ m∠Q

<em>Only one angle in the 1st triangle is equal to one angle in the other triangle, no other angles are equal, similarity needs at least two angles in one triangle equal to two angles in the other triangle </em>

∴ The two triangle are NOT similar by any case of similarity

∴ Δs DEF and DRQ not similar

You might be interested in
5 yrs ago, Nuri was thrice as old as Sonu. 10 yrs later, Nuri will be twice as old Sonu. How old are Nuri n Sonu?​
Papessa [141]

Answer:

Answer will be 50

Step-by-step explanation:

Let us suppose, present age of Nuri be ‘x’ years and present age of Sonu be ‘y’ years.

Now, it is given that five years ago, Nuri was thrice old as Sonu. Hence,

Five years ago,

Nuri’s age = x-5 years

Sonu’s age = y-5 years

And relation between ages can be given as

Nuri’s age = 3×sonu’s age or

x-5 = 3(y-5)

x-5 = 3y-15

x-3y+10 = 0 ………..(i)

Another relation is given in the problem that ten years later, Nuri is twice as old as Sonu.

So, ten years ago,

Nuri’s Age = x+10

Sonu’s Age = y+10

And relation between ages can be written as

x+10 = 2(y+10)

x+10 = 2y+20

x-2y-10 = 0 …………..(ii)

Now we can solve the equation (i) and (ii) to get values of x and ‘y’ or present ages of Nuri and Sonu.

Value of ‘x’ from equation (i) be

x = 3y-10 ……….(iii)

Putting value of ‘x’ from equation (iii) in equation (ii) we get,

3y-10-2y-10 = 0

y = 20

Now, from equation (iii) value of ’x’ can be given as,

x= 3(20)-10

x = 50

Hence, the present ages of Nuri and Sonu are 50 years and 20 years respectively.

7 0
2 years ago
A boat traveled 27 miles in 2 hours. At this, how many miles will the boat travel in 1/2 hour?
Fantom [35]
You do distance over time to get the rate, so you'd do 27/2= 13.5mph then divide that in half since you're asking for the distance traveled in half that hour so you do 13.5/2 and you get 6.75 miles traveled in half and hour.
4 0
3 years ago
Please help w/ this question <br><br> image attached
yanalaym [24]

Since each leg of the large trapezoid is bisected, then HJ is the average of the lengths of KL and NM.

HJ = (KL + NM)/2

2(HJ) = KL + nm

2(5x + 2) = 4x + 1 + 27

10x + 4 = 4x + 28

6x = 24

x = 4

KL = 4x + 1 = 4(4) + 1 = 16 + 1 = 17

Answer: KL = 17

4 0
3 years ago
ayoo nye here i was useing this app for this work and this is what got that is not okay so if you just going to say hi or hello
Korvikt [17]

Answer:

i belive you are right

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
You have a 32-foot fence around a square garden. You paint 1/3 of one side of the fence. What fraction of the fence did you pain
dmitriy555 [2]
The answer is 1/12.

The perimeter of a square garden with side s is:
P = 4s

s = 1/4P

Since it is painted 1/3 of 1/4 of the fence, the<span> fraction of the painted fence is:
1/3 * 1/4 = 1/12</span>
8 0
3 years ago
Other questions:
  • if you multiply me by 2, I become a number greater than 20 and less than 40. if you multiple me by 6 I end in 8
    5·2 answers
  • Use the discriminant to determine how many X intercepts the graph of the equation has
    5·1 answer
  • How do you work out how many 1/3 cup servings are in 6 cups of pecans
    10·2 answers
  • A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the sh
    15·1 answer
  • The speed, s, of an ant (in centimeters per second) is related to the temperature, t (in degrees Celsius), by the formula
    8·1 answer
  • Helppppppppppppppppppppp
    5·1 answer
  • If y = x² + 2x + 3, find the value of y when x = -1
    7·1 answer
  • How do you know that the absolute value of -|-9| is equal to -9?
    8·1 answer
  • PLEASE HELP. WILL GIVE BRAINLIEST AND 5.0 STAR RATING
    5·1 answer
  • Two functions are given below. Make sure to explain!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!