Answer:
x = 68°
Step-by-step explanation:
∠ DCB = ∠ EDC = 27° ( alternate angles )
Thus ∠ ECB = 23° + 27° = 50°
The sum of the 3 angles in a triangle = 180°, thus
x = 180° - (62 + 50)° = 180° - 112° = 68°
Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is 
h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P
Answer:
60-32i
Step-by-step explanation:
(8-2i)^2=8^2-2.8.2i+(2i)^2
=64-32i+4i^2
=64-32i-4
=60-32i
Answer:
c=(1,-8)
d=(7,-8)
e=(7,0)
f=(1,0)
Step-by-step explanation:
It super simple, just just move each point to the right 5 lines/units, and up 2 lines/units.
