Given:
Circle with chord and tangent.
To find:
The measure of angle 1.
Solution:
Let 2 be the adjacent angle of angle 1.
If a tangent and a chord intersect at a point, then the angle formed is half of the measure of the intercepted arc.
Sum of the adjacent angles in a straight line is 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠1 + 124° = 180°
Subtract 124° from both sides.
⇒ m∠1 = 56°
The measure of angle 1 is 56°.
<span>Northwest is 45 degrees north of west. If a car travels a distance x miles northwest, its northerly component gains x/sqrt(2) miles and its easterly component LOSES xsqrt(2)/ miles.
Resultant height is h = 4500 + 100x/sqrt(2) - 75x/sqrt(2) = [25/sqrt(2)]x + 4500
dh/dt = [25/sqrt(2)]dx/dt = [25/sqrt(2)]v </span>
The probability of an event ( A<span> ), given that another ( </span>B<span> ) has already occurred</span>
Answer: Inconsistent
<u>Step-by-step explanation:</u>
y = 3x + 4 → m = 3, b = 4
y = 3x + 3 → m = 3, b = 3
These equations have the same slope but different y-intercepts so they are parallel lines <em>which means they will never intersect.</em>
NOTES
- one solution: consistent & independent <em>lines cross</em>
- infinite solutions: consistent & dependent <em>same line</em>
- no solution: inconsistent <em>parallel lines</em>
Y=mx + b
M stands for the slope.
In this case it would be -2