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dezoksy [38]
3 years ago
14

Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or the theorem you used.

If not, explain.

Mathematics
1 answer:
Vilka [71]3 years ago
7 0

Answer:

Not similar

Step-by-step explanation:

If the triangles are similar, they will have all congruent angles and corresponding sides that form equivalent ratios.

\frac{12}{14} =\frac{16}{18}\\0.85 = 0.88

When simplified, these two ratios are not equal. These triangles are not similar.

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Answer:

2x + 3y = -10

Step-by-step explanation:

First convert the line into slope intercept form to find the slope of the line.

2x + 3y = 4

3y = 4 - 2x

y = -2/3x + 4/3

The slope of the line is -2/3. Parallel lines have the same slope so the slope for a line through the point (1,-4) will be -2/3. Substitute m = -2/3 and (1,-4) into the point slope of a line.

y --4 = -\frac{2}{3}(x-1)\\y + 4 = -\frac{2}{3}(x -1)

Now convert the line into standard form by using the distributive property.

y + 4 = -\frac{2}{3}(x -1)\\y + 4 = -\frac{2}{3}x + \frac{2}{3}\\3y + 12 = -2x + 2\\2x + 3y + 12 = 2\\2x + 3y = -10

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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

The equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.

Step-by-step explanation:

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This means, the set of all points that satisfy the inequality |x| < a is the set of all points between -a and a exclusive of -a and a.

The set of all points that satisfy the inequality |x| > a is the set of all points that are less than -a and the set of all points that are greater than a.

Hence, the equivalent expression for |b| > 2 is {b : b < -2} ∪ {b : b > 2}.

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