Answer:
x = 11°
Step-by-step explanation:
The parallel lines suggest we look to the relationships involving angles and transversals. The angle marked 33° and ∠CAB are alternate interior angles, hence congruent:
∠CAB = 33°
5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:
5x = 2x + 33°
3x = 33° . . . . . . . . . subtract 2x
x = 11° . . . . . . . . . . . divide by 3
Perpendicular lines have opposite reciprocal slopes.
x = 4 has a slope of undefined since it is a vertical line.
It's undefined because 1/0 = undefined. We can't divide by 0.
The opposite reciprical of 1/0 is -0/1, which equals to 0.
Any line with a slope of 0 is:
y = 0x + b
y = b
This line goes through the point of (3, 5).
Since the equation starts with y = something, we have to use the y-value of the point it goes through. The point is in the form of (x, y).
5 is in the y-value.
<span>The equation of the perpendicular line is </span>y = 5<span>.</span>
Answer:
1/2 or 0.5 in decimal
Step-by-step explanation:
you would want to make the 3/10 eqale to 20/100 like it has to have the same denominatior which is 10x10 and 3x10. because 10x10 eqal to 100, and what you do to the bottom you have to do the same on the top. and then you add which becomes 30/100+20/100=50/100 and 50/100 =1/2 if you simplfiy.