The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. A theorem is a proven statement or an accepted idea that has been shown to be true.
Answer:
x = 4
Step-by-step explanation:
2x-3+4x=21
Isolate the variable by dividing each side by the factors that don't contain the variable
Since they are similar, you need to find the ratio of similarity (I made up the term, there is probably a correct one that I can’t remember).
If you divide 16/40, you’ll find that that ratio is 2.5. So then you just multiply 16 x 2.5. You’ll get 18.
18 is the length of the top of the trapezoid.
You set 18=2x+4 and solve it algebraically. Subtract 4 from both sides.
14=2x
Divide by 2 and x=7
(You can also check that the ratio is right by 16/18 is the same decimal value as 40/45. You’ll get .88888...)
Answer:
D
Step-by-step explanation:
surface area of cylinder
=(area of base)×2 + (area of curved surface)
× 2 + 
× 25
=2 × 
× 
+ 2 × × 10 × 25
