X=7
Explanation:
A triangle equals 180°, and they gave us one length already, and it says the one arm of the triangle is equal to the other so we know that the third angle is going to be the same as the second angle.
180=90+(6x+3)+(6x+3)
Combine like terms
180=96+12x
Subtract 96 from both sides
84=12x
Divide 12 by both sides
7=x
Now check it,
90+(6*7+3)+(6*7+3)
90+(45)+(45) =180
Answer: The player is catching the ball at (4,25), therefore the second option is correct.
Explanation:
It the given graph x-axis represents the time (in seconds) after throw and y-axis represents the distance from goal (in yards).
In the graph violet and orange lines represents the distance of player and ball respectively, from the goal at different point of time.
The player will catch the ball when the distance of player and ball from the goal is same on the single point of time.
The point of time where distance of player and ball from the goal is same, is the point of intersection of both lines.
From the graph it is clearly noticed that both lines violet and orange insects at point (4,26), therefore player is catching the ball at (4,25), therefore the second option is correct.
