Substitute each variable for the coefficient. Remember PEMDAS.
Scalene just means all the angles are different. Not particularly helpful; we'll check at the end.
Obtuse is bigger than 90, so this will be the biggest angle in the triangle, let's call it A. A>90 degrees.
B=56 degrees.
C is the smallest angle. It will be smaller than B, since A is obtuse.
The two equations we can write are
A = 3C
A+B+C=180
3C + 56 + C = 180
4C = 124
C = 31
A = 3(31) = 93
Check:
31 + 93 + 56 = 180, good
all three different, scalene, good
93 is obtuse, good
Answer: Triangle has angles 31°, 56°, 93°
Side 1 + Side 2 + Side 3 = Perimeter
First isosceles triangle: 2a + 2a + b = 4a + b
Second isosceles triangle: b/2 + b/2 + 4a = 4a + b
Answer:
x = 120
y = 30
Step-by-step explanation:
Given that RST is equilateral, each of its interior angles will be 60 degrees
Looking at x, it lies on a starting line with one of the interior angles of RST
The sum of angles on a straight line is 180
Thus;
x + 60 = 180
x = 180-60
x= 120
Looking at triangle RSU, the markings indicates that we have an isosceles triangle
For an isosceles triangle, the base angles are equal in value
This means that SRU is also y
Mathematically, the sum of angles in a triangle is 180
Hence;
x + y + y = 180
x + 2y = 180
120 + 2y= 180
2y = 180-120
2y = 60
y = 60/2
y = 30
Answer:
the nullity of a matrix A is the demision of its null space:nullity A = dim (n(A).