Answer:
The vale of x=4
Step-by-step explanation:
We know that the sum of angles of a triangle = 180°
Given
Thus, the equation becomes
(3x+13) + (8x+14) + 109° = 180°
11x + 27 + 109° = 180°
11x = 180°- 109° - 27
11x = 44
x = 4
Thus, the vale of x=4
Answer:
Step-by-step explanation:
The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.
Answer:
$2
Step-by-step explanation:
x = daylily
y = geranium
1x + 5y = 22
13x + 1y = 30
Multiply second equation by 5 and subtract the two equations.
1x + 5y = 22
- (65x + 5y = 150)
-64x = -128
x = 2
So one daylily costs 2 dollars