Yes, 104.12 is greater than 104.002
because 104.12 rounds up to 104.1
and 104.002 rounds up to 104.0
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines will always have the same slope but different y-intercepts.
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
Switch the sides
Divide both sides by 2 to isolate y
Now that this equation is in slope-intercept form, we can easily identify that 
is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope . Plug this into :
<u>2) Determine the y-intercept</u>
Plug in the given point, (4,0)
Subtract both sides by 6
Therefore, -6 is the y-intercept of the line. Plug this into as b:
I hope this helps!
X is equal to 30 (vertically opposite angles)
y=180-50
=130 degrees (angles in a straight line equal to 180)
z=180-130-30 (angle sum of a triangle equal to 180)
z=20 degrees
Answer:
a = 2
Step-by-step explanation:
To find the missing length we can use the Pythagorean theorem. Also, because it's a right triangle it makes it the perfect candidate!
The Pythagorean Theorem states:
a^2 + b^2 = c^2
Next, we substitute the letters with our given numbers (keep in mind that c is the hypotenuse which is the side facing the right angle)
a^2 + 2.1^2 = 2.9^2
Finally, we solve our equation (hint: use the calculator if needed)
a^2 = 4 (your answer is not final yet. You have to take the square root of both numbers)
a = 2 (Now that's the final answer!)
