63degrees
Step-by-step explanation:
there are multiple ways to do this
for one, angle a = angle e (corresponding angles)
angle f + angle e = 180 degrees (angles on a straight line)
angle f = 180 degrees - angle e where angle e = angle a = 117degrees
so angle f = 63 degrees.
V=lwh
198 = 3(x-1)(x-4)
(x-1)(x-4)=x^2-5x+4
3(x^2-5x+4)
= 3x^2-15x+12
3x^2-15x+12=198
Subtract 198 from both sides
= 3x^2-15x-186
use Quadratic formula <-- google if you forgot it
=10.761355820929152 and a different number which is negative, so reject it
Round it to 10.76
x=10.76
Answer:
3. 35.64
Step-by-step explanation:
Answer: Second option.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the following inequality:
We can identify that the line is:
Then:
Therefore, the slope is negative and the line intersects the y-axis at the point
Since the symbol of the inequality is , we can conclude that the line is solid and the shaded region is below the line. Therefore, the graph that best represents the given inequality is the second graph.