Answer:
y = x +9
Step-by-step explanation:
Side RS of triangle QRS is the one that is parallel to side UV. Being parallel, it has the same slope as UV. We observe that UV has a "rise" of 3 units (from 2 to 5) and a "run" of 3 units (from 1 to 4). Its slope is ...
m = rise/run = 3/3 = 1
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The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
We observe that point S has coordinates (-8, 1), so we can write the equation of line RS in point-slope form as ...
y -1 = 1(x -(-8))
Adding 1 to both sides and simplifying, we have the slope-intercept equation ...
y = x +9
Answer:
El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.
Step-by-step explanation:
Sea E la localización del extraterrestre, O, el del hombre de negro, y B, el de la base del edificio. A partir de la información disponible, construimos el diagrama geométrico que indica la presencia de un triángulo rectángulo, el cual puede consultarse en la imagen adjunta.
Podemos determinar el ángulo de disparo mediante la siguiente relación trigonométrica inversa:
El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.
32,005,008 = 30,000,000 + 2,000,000 + 5,000 + 8
The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3
Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6
We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542
Based on the above calculations, the four numbers are:
542, 543, 544 and 555
