Answer : The value of x is 5.
Step-by-step explanation :
According to the angle bisector theorem, an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.
That means,


By the cross multiplication, we get:






Therefore, the value of x is 5.
Answer:
m = 2.5
Step-by-step explanation:
Add 0.8 m to both sides, obtaining 0.8m + 0.8m - 4, or 1.6m - 4 = 0.
Now add 4 to both sides. Result: 1.6m = 4, and m = 4/1.6 = 2.5 = m
28 is the answer.
If you substitute 28 for y, the equation would be accurate.
Here are the rules for transformations.
Answer:
![\text{\bf{A.}}\qquad\left[\begin{array}{ccc}-19&9&-7\\15&-7&6\\-2&1&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Ctext%7B%5Cbf%7BA.%7D%7D%5Cqquad%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-19%269%26-7%5C%5C15%26-7%266%5C%5C-2%261%26-1%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Many scientific and graphing calculators will compute this easily.
The inverse of a square matrix is a square matrix of the same dimensions. That eliminates choices C and D. We can check choices A and B by computing a couple of terms of the product of the given matrix and its "inverse". That product should be the identity matrix, with 1 on the diagonal and 0 elsewhere.
Using matrix A,
(r, c) = (1, 1) = 1(-19) +2(15) +5(-2) = -19 +30 -20 = 1 . . . . correct
(r, c) = (2,3) = 3(-7) +5(6) +9(-1) = -21 +30 =9 = 0 . . . . correct
Using matrix B,
(r, c) = (1, 1) = 1(-19) +2(-2) +5(15) = -19 -4 +75 = 52 . . . . incorrect
Indications are that choice A is appropriate.