Answer:
Step-by-step explanation:
For problems like these, it is helpful to remember the ratios of the side lengths in these special triangles.
45°-45°-90° triangle: 1 : 1 : √2
30°-60°-90° triangle: 1 : √3 : 2
__
This means ...
z : 18 : horizontal line = 1 : √3 : 2
z = 18/√3 = 6√3
horizontal line = 2(6√3) = 12√3
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And ...
x : y : horizontal line = 1 : 1 : √2
x = y = (horizontal line)/√2 = (12√3)/√2 = 6√6
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<em>Additional comment</em>
The lengths are easily found as values with a square root in the denominator. Generally, we want the denominator to be a rational number, so we make use of the fact ...
1/√n = (√n)/n
You can use SAS, or Side Angle Side. Because BC equals EC and AC equals DC, you can get two sides. Also, angle BCA and DCE have the same angle measurement, so you can conclude, using SAS, that BA equals to ED. Also, you can also prove that these two triangles are congruent and that all of the angles are the same as well because all of the side lengths are equal.
Answer:
x=-47
Step-by-step explanation:
3x-44
-3 -3 -44+-3=-47
x=-47
HOPE THIS HELPS!!!!!!
There are 5,280 feet in a single mile.
Which is equivalent to 1,760 yards.
For this case we have that by definition, the discriminant of a quadratic equation
, is given by:
![d = b ^ 2-4 (a) (c)](https://tex.z-dn.net/?f=d%20%3D%20b%20%5E%202-4%20%28a%29%20%28c%29)
: Two different real roots
: Two equal real roots
: Two different complex roots
If we have
, then:
![a = 9\\b = 12\\c = 4](https://tex.z-dn.net/?f=a%20%3D%209%5C%5Cb%20%3D%2012%5C%5Cc%20%3D%204)
Substituting the values:
![d = 12 ^ 2-4 (9) (4)\\d = 144-144\\d = 0](https://tex.z-dn.net/?f=d%20%3D%2012%20%5E%202-4%20%289%29%20%284%29%5C%5Cd%20%3D%20144-144%5C%5Cd%20%3D%200)
Thus, we have two equal real roots.
ANswer:
We have two equal real roots.