Answer:
Verified
Step-by-step explanation:
Let the diagonal matrix D with size 2x2 be in the form of
![\left[\begin{array}{cc}a&0\\0&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%260%5C%5C0%26d%5Cend%7Barray%7D%5Cright%5D)
Then the determinant of matrix D would be
det(D) = a*d - 0*0 = ad
This is the product of the matrix's diagonal numbers
So the theorem is true for 2x2 matrices
Answer:
33
Step-by-step explanation:
The two angles add up to 180 degrees because a straight line is 180 degrees
<em>Add both equations and set equal to 180</em>
3m + 138 + 7m +12 = 180
<em>Algebra yeet</em>
<em>Simplify</em>
10m +150 = 180
10m = 30
m = 3
Angle DBC is (7m + 12):
<em>Substitute m = 3</em>
7(3) + 12 = 21 + 12 = 33 degrees
Answer:
8/52=m/39 cross multiply.
52m=8*39
To factor <span>54x+81 using the greatest common factor, find the GCF of 54 and 81 by listing all factors and finding the biggest.
54 - 1, 2, 3, 6, 9, 18, 27, 54
81 - 1, 3, 9, 17, 81
9 is the gcf, so factor it out.
</span><span>54x+81 = <u>9</u>(6x + 9)</span><span>
</span>
