Step-by-step explanation:
when intersecting 2 parallel lines by a third line the angles at the intersection points must be the same at both lines. otherwise they are not parallel, or the third one is not a straight line.
the second thing to know : all angles in top of a line (or below a line) are in sum 180 degrees. this is what is needed to e.g. rotate a stick around a point on the line from one side to the other.
knowing all this we then know, that the angle right "under" the (8x -9) degree angle is also 53 degrees (or the angle above the 53 degree angle is (8x - 9) degrees).
and we know then that the sum of both angles is 180 degrees.
(8x - 9) + 53 = 180
8x - 9 = 127
8x = 136
x = 17
Answer:
x = 13
Step-by-step explanation:
No se exactamente como decir esto porque yo ayudo la majoria de los usuario en ingles pero hay que usar un método para describir a x
Un método que se llama Pythagorean theorem
Pythagorean theorem: a^2 + b^2 = c^2 donde a^2 = 5 b^2 = 12 y c^2 = x
Entonces…
5^2 + 12^2 = c^2
Nota: podemos ver que esto esta bien porque el sum de los dos lados suma el mas largo.
Ahora
25 + 144 = c^2
c^2 = 169
Pero eso no puede ser la respuesta porque no tiene sentido a que x sea un lado que mide 169 entonces tenemos que usar sqrt rt
sqrt rt de 169 = 13
x = 13
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y
If we substitute 10 for t we get the height of the balloon after being in the air 10 minutes
h(10) = 210 - 15(10) = 210 - 150 = 60