Step-by-step explanation:
13x + 15 = 19x - 9 ( being opposite sides of parallelogram)
19x - 13x = 15 + 9
6x = 24
x = 24 / 6
x = 4
4y + 7° + 10y - 37° = 180° {being co-interior angles }
14y = 180° - 7° + 37°
14y = 210°
y = 210°/ 14
y = 15°
Hope it will help :)
Answer:
The first six terms of this arithmetic sequence are: 30, 32, 34, 36, 38, 40
Step-by-step explanation:
The nth term of an arithmetic sequence is given by:

In which d is the common difference, that is, each term is increased by d.
d = 2, Po= 30
First term is 30, each consecutive is increased by 2. So
30, 32, 34, 36, 38, 40
Step-by-step explanation:
Since we have a vertical directrix, the equation of the parabola is

Where p is the distance from the vertex to the directrix.
or the distance from the vertex to the focus.
Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.


So our vertex is (0,0).
So our equation become

The distance from the focus and directrix is 6.
So p=6.

So p is 6.
Since p is 6,

12 + 8 + 9 = 29
60 - 29= 31
Jorge owes his father $31