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
Viefleur [7K]
4 years ago
9

Are the following triangles similar? Justify your answer.

Mathematics
1 answer:
Ber [7]4 years ago
7 0

Answer:

Yes they are similar.

There are three similarity criteria for triangles.

The first one (AAA) , your case, says that two triangles are similar if their corresponding angles are equal.

The second one (SAS) says that two triangles are similar if two sides have lengths in the same ratio and the angles that are included in these two sides are equal.

The third one (SSS) says that two triangles are similar of all of their sides have lengths in the same ratio.

About the first criteria, you actually need only two corresponding angles to be the same, because the third will always be the difference between 180° and the two angles.

Remember that you CANNOT exceed 180° for the sum of the three angles of a triangle.

And remember also that similarity involves correspondence in sides and angles. Two triangles, with same angles, but mirrored, are not similar!

You might be interested in
What is 1/2 in degrees
Alexxandr [17]

Answer:

180

Step-by-step explanation:

half of 360 is 180

4 0
3 years ago
Please Help Identify each angle pair. Choose from the list below.
Slav-nsk [51]

Answer:

The answer is given below.

Step-by-step explanation:

Alternate exterior angles: I is a pair of angles on the outer side of the each of two parallel lines but on opposite side of the transversal.

Vertically opposite angles: They are angles opposite each other when two lines intersect each other or cross each other.

Corresponding angles:  The angles which occupy the same relative position at each intersection where a transversal intersect the two parallel lines.

Same side interior angles: These are the angles between the parallel lines with the transversal.

Alternate interior angles: These are those angles that are alternate to each other and lie inside the parallel lines forming in Z shape.

Linear pair angles: It is a pair of adjacent angles formed by two intersecting lines

\angle 1\ and\ \angle 6:\ \textrm{alternate exterior angles}\\\angle 1\ and\ \angle 3:\ \textrm{Vertical opposite angles}\\\angle 3\ and\ \angle 6:\ \textrm{corresponding angles}\\\angle 4\ and\ \angle 8:\ \textrm{same side interior angles}\\\angle 4\ and\ \angle 5:\ \textrm{alternate interior angles}\\\angle 5\ and\ \angle 6:\ \textrm{linear pair angles}

4 0
3 years ago
What is the x-value that correlates with 2010 (remember 1979 was when x=0)?
LiRa [457]

Answer:

31

Step-by-step explanation:

although we cannot see the whole graph, I assume it would be 31 because

2010-1979 is 31

and the x values are years after 1979

4 0
3 years ago
The measure of an angle is 51°. What is the measure of its supplementary angle?
vodomira [7]

Answer:

supplement of an angle is what must be added to that angle to get 180

51+supplement=180

minus 51 both sides

supplement=129

answer is 129

7 0
4 years ago
The population of winnecumma, Nevada, is growing at a rate of 5% each year. If the population is 8742, how many years(3 decimal
sweet-ann [11.9K]
Current population = P = 8742
Population after t years = A = 12000
Growth rate = r = 5%

We are to find the number of years it takes the population to grow to 12,000.

So, we can write:

A=P(1+r)^{t}

Using the values, we get:

12000=8742(1+0.05)^{t}  \\  \\ 
 \frac{12000}{8742}= (1.05)^{t} \\  \\ 
t=6.492

This means, it will take 6.492 years for the population to grow to 12,000.
4 0
3 years ago
Other questions:
  • 78362 divided by 509
    12·2 answers
  • Larry paid 11.20 for four gallons of gas. How much was each gallon of gas
    15·2 answers
  • Miranda works as a salesperson at a store that specializes in custom made computers. She earns a base pay of $225 per week and a
    5·1 answer
  • Two snow seasons ago, White cap received 320 inches of snow. That season it received 10% of the total season's snowfall in Novem
    14·1 answer
  • What value for X makes the equation below true?<br> 2(x+0.6)+5(1.02-x)=0<br><br> PLEASE HELP!!
    11·1 answer
  • Help me plz it's so hard I'm not smart.
    15·1 answer
  • 2x+7=5y-9<br><br> please help very urgent ik very lost :,)
    11·2 answers
  • Choose the formula for the volume of a cone V = mrh written in terms of h.
    8·2 answers
  • Use the number line below, where RS = 9y +3, ST = 3y + 4, and RT = 17y - 33.
    13·1 answer
  • CAN SOMEONE HELP ME PLEASE ASAP!?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!