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defon
3 years ago
8

Which triangle is ​△ABC​ similar to and why?

Mathematics
1 answer:
Rudik [331]3 years ago
8 0
<span>△ABC is similar to △JKL by ​ AA Similarity Postulate.

Explication:

For </span>ΔABC 
<span>
m</span>∠A + m∠B + m∠C = 180°
  20° +   80° + m∠C = 180°
      100° + m∠C = 180°
<span>            m</span>∠C = 80°<span>

Two angle pairs are congurent </span>⇒ △ABC ~ <span>△JKL</span>
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Which expressions are equivalent to 12x - 6? ​
iren2701 [21]
<h3>Answer</h3>

B and E

<h3>Explanation</h3>

A) It's wrong because

- 6 \times (2x - 1) =  - 12x + 6

B) It's right because

6 \times (2x - 1) = 12x - 6

C) It's wrong because

6x \times (2 - 1) = 6x \times 1 = 6x

D) It's wrong because

- 6x \times (2x - 1) =  - 12 {x}^{2} + 6

E) It's right because

- 6 \times ( - 2x + 1) = 12x - 6

F) It's wrong because

6 \times ( - 2x + 1) =  - 12x + 6

8 0
3 years ago
Circle O has a circumference of 36π cm. Circle O with radius r is shown. What is the length of the radius, r? 6 cm 18 cm 36 cm 7
Gwar [14]

Answer: 18 cm

Step-by-step explanation:

We know the circumference formula is C=2πr. Since our circumference is given in terms of π, we can easily figure out what the radius is.

36π=2πr                   [divide both sides by π to cancel out]

36=2r                        [divide both sides by 2]

r=18 cm

6 0
3 years ago
For a perfectly symmetrical distribution with a mean of 50, what is the value of the median?
Lelechka [254]

In a set of data, if the data is perfectly symmetrical then the mean is equal to the median. In this case, the median would be 50.

For example, consider the data set: {25, 50, 75}

The mean is going to be 50 because \frac{25+50+75}{3} = 50

The median is also 50 because that is the middle number when ordered numerically.

Hope this helped! Let me know if you have any more questions.

3 0
3 years ago
Last year the profit for a company was $327,000. This year's profit decreased by 3.7%. Find this year's profit.
lesantik [10]

Answer: $314,901

Step-by-step explanation: 3.7% of $327,000 is $314,904

6 0
2 years ago
This too!!<br><br><br><br><br> . <br> Please<br><br><br><br><br> .
REY [17]

Answer:

In order to tell if these are congruent triangles we would need to know if angles Y and V were congruent, angles X and W are congruent or if segments XU and WU were congruent.

Step-by-step explanation:

Any of these would work because you can use two different methods to telling that these are congruent triangles.

The first method is called side-angle-side. In it you need two side lengths that are congruent with a congruent angle in the middle. Since we already know that the right angle in the middle is congruent, and we know YU and VU are congruent, we would just need to know the additional side to prove congruence.

The second method is called angle, angle side. In this we need to know that two angles in a row are congruent followed by a side. Since we know the middle angle is the same, knowing either other angles would give us this method as well.

8 0
4 years ago
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