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hjlf
3 years ago
9

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

<u>Side-Angle-Side Similarity,</u> 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

so

Verify if the included sides are proportional

so

\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

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PLEASE HELP
makvit [3.9K]

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Step-by-step explanation:

Hope this helped :)

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3 years ago
4) 2=<br> What is the answer
Kamila [148]

Answer: 2 = 2

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3 years ago
Read 2 more answers
9x + 7y = -12 find the value of y when x equals 1
lutik1710 [3]

Answer:

y = -3

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7 0
3 years ago
Read 2 more answers
Date:
Svetlanka [38]

Answer:

Step-by-step explanation:

Because we have 3 unknowns, we need to come up with 3 equations. If the total number of animals is 440 and that number is made up of a combination of goats (g), ducks (d), and chickens (c) the first equation is

g + d + c = 440

The next equation is found in the fact that the number of ducks is one-quarter the number of chickens:

d=\frac{1}{4}c and solving for c gives us that

c = 4d

The last equation says that of the total number of animals, 440, half the goats and half the ducks got away, leaving only 320 animals behind. The last equation, the tricky one, is:

440-\frac{1}{2}g-\frac{1}{2}d=320 and simplifying that:

-\frac{1}{2}g-\frac{1}{2}d=-120 and because nobody hates fractions more than I do, I'm going to get rid of them by multiplying everything by 2 to get:

-g - d = -240

We've got these equations now, but what I'm going to do is to sub in what c equals (c = 4d) for c in the first equation:

 g + d + 4d = 440 and

 g + 5d = 440 and pair that with the one right above:

-g -  1d = -240 and use elimination to solve. The g's cancel each other out, leaving us with 4d = 200 and d = 50. So there were 50 ducks originally. Now we will sub that in to solve for c:

c = 4d so

c = 4(50) and

c = 200. Now we will sub both those values into the very first equation we put together to solve for g:

g + 200 + 50 = 440 and

g + 250 = 440 so

g = 190.

Add them all together just to be sure we have the 440 that we were told we had in the beginning (and we do, so we're all done!)

3 0
3 years ago
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