Since they are not like terms (not the same variables) you cannot simply so you leave it like that.✨ This applies for addition and subtraction only. It’s different with multiplication and division.✨
Answer:
The triangles aren't necessarily congruent. SAS postulate is side angle side, which means that the angle that is congruent must be between the two sides that are congruent. DF is congruent to MN, and DG is congruent to MP. This means, that angle D must be congruent to angle M.
However, we only know that D is congruent to P, not M.
These triangles are not necessarily congruent.
Answer:
C) 16
Step-by-step explanation:

Rewrite the parabola in standard form and use this formula to find the vertex (h,k).
= (2,-1)
Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm