Step-by-step explanation:
Since Angle DAE = Angle BCE, lines AD amd BC are parallel (by Z-angles).
This means that Angle ADE = Angle CBE (by Z-angles).
We have 2 congruent angles and 1 congruent side (AD = BC, given).
By ASA congruence, triangles AED and CEB are congruent.
The answer to this question is:
<span>In circle p, st = 30 ft. what is the circumference of the circle?
</span><span>"30p ft"
Hope this helped, Taylenlane7544
Your Welcome :)</span>
Answer:
7.7 ft
Step-by-step explanation:
The third longest side is also the second shortest side.
The 14 ft side of quadrilateral ABCD corresponds to the 6 ft side of quadrilateral EFGH.
14/6 = 18/x
7/3 = 18/x
7x = 18 * 3
7x = 54
x = 54/7
x = 7.7
Answer: D. 7.7 feet
Answer:
x = -5; y = 4, z = 1
Step-by-step explanation:
Given the row echelon form as:
![\left[\begin{array}{cccc}1&0&\ \ 4|&-1\\0&1&-1|&3\\0&0&\ \ 1|&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%26%5C%20%5C%204%7C%26-1%5C%5C0%261%26-1%7C%263%5C%5C0%260%26%5C%20%5C%201%7C%261%5Cend%7Barray%7D%5Cright%5D)
This matrix can be represented as:
![\left[\begin{array}{ccc}1&0&4\\0&1&-1\\0&0&1\end{array}\right]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right] \\\\Performing\ matrix\ multiplication\ gives:\\\\\left[\begin{array}{c}x+4z\\y-z\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%264%5C%5C0%261%26-1%5C%5C0%260%261%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-1%5C%5C3%5C%5C1%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CPerforming%5C%20matrix%5C%20multiplication%5C%20gives%3A%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%2B4z%5C%5Cy-z%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-1%5C%5C3%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
Therefore:
z = 1
y - z = 3;
y = 3 + z = 3 + 1 = 4.
Hence, y = 4
x + 4z = - 1;
x = -1 - 4z = -1 - 4(1) = -5
x = -5
Answer:
8
Step-by-step explanation:
10 - 2
