Answer:
Part A: one solution:
Part B: x = 3, y = 4.
Explanation:
1) Part A: how many solutions does the pair of equations for lines A and B have?
The solution of a system of equations in a graph is given by the intersetion of the curves that represent the equations.
In this case, there are two straight lines, which intersect in one and only one point.
Hence, the system has one solution.
2) Part B: what is the solution to the equations of lines A and B?
The solution is the pair of coordinates of the intersection point. It is (3, 4).
Therefore, the solution is x = 3, y = 4.
0.16666666666..... (6 recurring)
Answer:
x = 14°
Step-by-step explanation:
here we can see ( 6x + 5 ) is parallel to 89°, has same angle.
6x + 5 = 89 .............. as they are similar
6x = 89° - 5°
6x = 84°
x = 84 / 6
x = 14°
Answer:
66 cm
Step-by-step explanation:
Answer:
angle 1 = 111
angle 2 = 69
Step-by-step explanation:
Supplementary Angles add up to 180°.
We are given angle 1 = (x+88)° and angle 2 = 3x°
The sum of both angles add up to 180°
x+88+3x=180
4x=180-88
4x=92
x = 23
To find angle 1, substitute x = 23 in (x+88)°
23°+88° = 111°
Therefore, angle 1 is 111°
To find angle 2, substitute x = 23 on 3x°
3(23) = 69°
Checking if the answer is right by combining 111 and 69.
111+69 = 180
Hence, the answers are 111° and 69°.
