The solution point is (4,2).
Step-by-step explanation:
Equation of straight line passing through the points (0,0) and (4,2) is given by
⇒ 2y = x ............ (1)
And the other straight line is y = - x + 6 .............. (2)
Now, solving equations (1) and (2) we get, y = - 2y + 6
⇒ 3y = 6
⇒ y = 2
And from equation (1) we get, x = 2y = 4
Therefore, the solution point is (4,2). (Answer)
Answer:
H = 58, I = 71, J = 51
Step-by-step explanation:
Set all angles equal to 180
3x - 2 + 4x - 9 + 3x - 9 = 180
Then combine like terms
10x - 20 = 180
+ 20 + 20
10x = 200
/10 /10
x = 20
Then plug in for each angle
3 (20) - 2 = 58
4 (20) - 9 = 71
3 (20) - 9 = 51
Answer:
9 < x < 17 is the possible length of the third side of a triangle.
Step-by-step explanation:
The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.
Given the two sides of the triangle
Let 'x' be the length of 3rd size.
According to the Triangle Inequality theorem,
The difference of two sides < x < The sum of two sides
13 - 4 < x < 13+4
9 < x < 17
Therefore, 9 < x < 17 is the possible length of the third side of a triangle.
Only 4 because the only way he cant get a pair is if he picks up a different colour to the previous sock, so by the fourth he will have picked up at two of at least one colour
Answer:
table and graph attached
Step-by-step explanation:
