Answer:the third option is the correct answer
Step-by-step explanation:
The given system of linear equations is expressed as
y – 3x = –2 - - - - - - - - - - - -1
y = 4 - - - - - - - - - - - - - 2
The first step is to substitute equation 1 into equation 2. It becomes
4 – 3x = –2
Subtracting 4 from the left hand side and the right hand side of the equation, it becomes
4 - 4 - 3x = –2 - 4
- 3x = - 6
Dividing the left hand side and the right hand side of the equation by - 3, it becomes
- 3x/ - 3 = - 6/ - 3
x = 2
(2, 4)
Answer:
B = 20.7°
C = 126.3°
c = 29.6
Step-by-step explanation:
See attached photo for steps...
The bisector divides the line BC in the following ratio.
(x + 8) / 10 = (2x - 5) / 14 Cross Multiply
14(x + 8) = 10(2x - 5) Remove the brackets.
14x + 112 = 20x - 50 Subtract 14x from both sides . Add 50 to both sides
112 + 50 = 20x - 14x Collect like terms
162 = 6x Divide by 6
x = 27
Answer:
HN = 102 units
LJ = 90 units
GJ = 176 units
Step-by-step explanation:
Since, point N inside the triangle is the circumcenter of the given circle,
HN = GN = NJ = Radii of the circle
Therefore, measure of HN = measure of GN = measure of JN = 102 units
By applying Pythagoras theorem in ΔNLJ,
JN² = NL² + LJ²
(102)² = (48)² + (LJ)²
(LJ)² = (102)²- (48)²
LJ = √8100
LJ = 90 units
m(GJ) = 2[m(GK)] [Since NK bisects GJ]
= 2(88)
= 176 units
Step-by-step explanation:
y=k/x
- 4=k/6 4*6=k =24 . if x=8, y=24/8,y=3
