1. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
2. c= 90-40= 50 (vertically opposite angles)
b=a=360-90-90=180/2=90 (angles at a point)
3. a= 180-52-51= 77 (angles on a straight line)
b=52 (angles at a point)
d=51 (angles at a point)
c=77 (angles at a point)
4. a= 60 (vertically opposite angles)
b= 360-(60+60)=240/2= 120 (angles at a point)
c= 120 (vertically opposite angles with b)
e=65
d=f= 360-65-65=230/2=115
h=55
i=g=360-55-55=250/2=125
5. b=163
a=90
e=70
d=360-70-70=220/2=110
c=360-163-163=34/2=17
Hope this helps!
When x=0 y=50 when y=0 x=+\-5. -x^2 makes the parabola open downward y(x)=2x^2+50;y(3)=2*9+50=32
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where m is the slope and b is the y-intercept (the value of y when x is 0).
<u>1) Determine the slope (m)</u>
where two points on the line are 
and 
In the graph, the points (-3,-6) and (2,-2) are plotted clearly, so we can use these to help us find the slope. Plug them into the equation:
Therefore, the slope of the line is 
. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Typically, given a graph, we could look at where exactly the line crosses the y-axis to determine b. However, because it appears ambiguous on this graph, we must solve it algebraically.
Plug in one of the given points (2,-2) and solve for b:
Subtract 
from both sides to isolate b
Therefore, the y-intercept of the line is 
. Plug this back into :
I hope this helps!
Nope
Step-by-step explanation:
Volume of rectangular prism :
= Base Area × h = l × w × h
Volume of triangular prism :
= Base Area × h
Cuz the base area of triangular prism, the volume is :
(½ × l × w) × h
= ½ lwh
So, the volume of a triangular prism is half of a rectangular prism
