Answer:
84 units
Explanation:
If B is the midpoint of line AC, then B divides AC into two equal parts (AB and BC).
Therefore:
AB=BC
2x-8=x+17
2x-x=17+8
x=25
Therefore, the measure of the line segment AC
=2(2x-8)
=2(2(25)-8)
=2(50-8)
=2(42)
AC=84 units
Answer:
Answers provided below
Step-by-step explanation:
From the simultaneous linear equation, we have the coefficient matrix as;
(3 4 5)
(2 -1 8)
(5 -2 7)
The x-matrix is Dx is given by;
(18 4 5)
(13 -1 8)
(20 -2 7)
Similarly, the y-matrix Dy is given by;
(3 18 5)
(2 13 8)
(5 -20 7)
Also,the z-matrix Dz is given by;
(3 4 18)
(2 -1 13)
(5 -2 -20)
Determinant of the coefficient matrix from online determinant calculator is;
D = 136
Determinant of the x-matrix from online determinant calculator is; Dx = 92
Determinant of the y-matrix from online determinant calculator is; Dy = 696
Determinant of the z-matrix from online determinant calculator is; Dz = 576
From crammers rule;
x = Dx/D = 92/136
y = Dy/D = 696/136
z = Dz/D = 576/136
Answer
Length = 10 ft
Width = 5 ft
Explanation
Area of the rectangle given = 50 ft²
Let the width of the rectangle be x
So this means the length of the rectangle will be 3x - 5
What to find:
The dimensions of the rectangle.
Step-by-step solution:
Area of a rectangle = length x width
i.e A = L x W
Put A = 50, L = 3x - 5, W = x into the formula.
The quadratic equation can now be solve using factorization method:
Since the dimension can not be negative, hence the value of x will be = 5.
Therefore, the dimensions of the rectangle will be:
An acute angle measures less than 90 degrees, a right angle measures 90 degrees and, obtuse angle measures more than 90 degrees
4/10 and 6/10
(40% and 60%)
