Answer:
64°
Step-by-step explanation:
<em>So supplement angles are equal to 180, so first our two angles added together will be 180:</em>
x + x = 180
<em>Now one of these angles is 6 greater than half:</em>
x + (x/2 + 6) = 180
<em>Then we will solve for x:</em>
x + (x/2 + 6) = 180
x + x/2 + 6 = 180
x + x/2 = 174
x = 174
x = 116
<em>Plug it back in:</em>
x + (x/2 + 6) = 180
/\
x/2 + 6
(116)/2 + 6
64
<em>To check:</em>
116 + 64 = 180 ✓
When given a system of equations, the "solutions" are defined where two equations intersect, or meet.
A. The point where the lines p(x) and g(x) meet is (3, -1), and thus this is considered the solution set.
B. Because there are three lines in total, g(x) is able to intersect both lines one time, and so it has two pairs of solutions.
The first is (3, -1), which has already been established with p(x).
The second is (0, 5), and this is where it intersects with f(x).
C. The solution to f(x) = g(x) is 0, as this is the only x value where both equations are equal.
Hope my answer helped!
Answer:
Let two consecutive multiples of 3 be x and (x+3)
A/q,
x * (x+3) = 648
➡ x² + 3x = 648
➡ x² + 3x -648 = 0
➡ x² + 27x - 24x -648 = 0
➡ x ( x + 27 ) -24 ( x +27)
➡ ( x - 24) ( x + 27)
➡ x = 24 and x = -27
so, we take x = 24.
Required multiples of 3
➡ x = 24
➡ x +3 = 24+3 = 27.
Let’s start off by subtracting 5 from 10 leaving 5 dollars
if 6 tickets cost 3 dollars she can only buy 6 tickets because she will only have 2 dollars left
The algebraic equation is:
7x+10=35
You can also write it as:
10+7x=35
(It doesn't matter which one you choose)
