Answer:
60 weeks
Step-by-step explanation:
195 = 75 + (10 + 8)w
195 - 75 = (10 + 8)w
120 = (10 + 8)w
120 = (2)w
120 ÷ 2 = w
60 = w
Answer:
2z-6
Step-by-step explanation:
2(z-3)
2(z)-2(3)=2z-6
The smaller number is twelve the larger number is 69
Answer:
2nd option: 2y=6x+8 and y=3x+4
Step-by-step explanation:
If you divide the first by 2, you get the second equation.
This means that both equations plot an identical line (they lie on top of each other /also known as "coincide"). This means, that there are infinitely many solutions.
In 2D (x-y plane for example), straight lines can have no solutions if they have the same gradient/slope/ they are parallel and different y-intercepts, because they will never cross.
Here, they have same gradient and y-intercept so all points on the line are valid solutions to the equation
Answer:
The measure of the angles are 61° and 119°
Step-by-step explanation:
Let the first angle = x°
let the second angle = y°
The sum of two supplementary angles = 180°
x° + y° = 180° ----- equation (1)
based on the given question; "the difference of two supplementary angles is 58 degrees."
x° - y° = 58° ------- equation (2)
from equation (2), x° = 58° + y°
Substitute the value of x into equation (1)
(58° + y°) + y° = 180°
58 + 2y = 180
2y = 180 -58
2y = 122
y = 122 / 2
y = 61°
The second angle is given by;
x° = 58° + y°
x = 58° + 61°
x = 119°
Thus, the measure of the angles are 61° and 119°
