All categories

3 years ago

Are these triangles similar? if so, what postulate or theorem justifies that they are similar?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

7 0

Answer:

Yes The triangles are similar by SAS Similarity Theorem

Step-by-step explanation:

we know that

Side-Angle-Side Similarity, states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar

In this problem

Angle L is congruent with Angle Z

Verify if the included sides are proportional

$\frac{LJ}{ZY}=\frac{KL}{XZ}$

substitute the values

$\frac{3}{1.5}=\frac{4}{2}$

$2=2$ -----> is true

therefore

The triangles are similar by SAS

You might be interested in

Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?

GarryVolchara [31]

Answer:

12 minutes

4*3

That's the answer

8 0

3 years ago

A passenger rode the subway 2 blocks west and then 10 south. If all the blocks are the same length what is the value of the slop

Nimfa-mama [501]

Answer:

The slope of the line is 5

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

I have created an illustration which is attached below in order to help you understand the situation. As we are told the passenger rode the subway from point (0 , 0) to point (-2, 0). Then he rode the subway from point (-2, 0) to the final destination of point (-2 , -10). In order to find the value of the slope we need to use the slope formula which is

$Slope = \frac{y_{2}-y_{1} }{x_{2}- x_{1} }$

Now we just plug in the values of the starting point and final destination in order to find the slope of the line.

$Slope = \frac{(-10) - (0)}{(-2)-(0)}$

$Slope = \frac{-10}{-2}$

$Slope =5$

Finally we can see that the slope of the line is 5

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

6 0

3 years ago

You spend 15 minutes doing homework. You spend 3 hours watching television. Write the ratio of the amount of time spent doing ho

german

The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.

The time spent on doing the homework is 15 minutes.
The time spent watching television is 3 hours.
To calculate the ratio, we must have the same units for both quantities.
We have to convert the time spent watching television from hours to minutes.
1 hour is 60 minutes.
3 hours has 3*60 minutes.
3 hours have 180 minutes.
So, the time spent watching television is 180 minutes.
The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.
We need to simplify the fraction.
15/180 is equal to 1/12.
Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.

To learn more about fractions, visit :

brainly.com/question/10354322

#SPJ9

3 0

1 year ago

Draw a rhombus that is not a square. Label the lengths of its sides and its height so it represents a rhombus with an area of 20

Tcecarenko [31]

Answer:

$\sqrt{20}$ / \ $\sqrt{20}$

/ \

\ /

$\sqrt{20}$ \ / $\sqrt{20}$

Step-by-step explanation:

i hope this is right it took me 30 min for the ascii

6 0

3 years ago

Solve for x using the diagram of circle C. B В. (3x+49) (5x-7)

Nuetrik [128]

Answer:

googl it

Step-by-step explanation:

its on googl and it has the anwser

4 0

3 years ago