1. false 2. true 3. true 4.false
Step-by-step explanation:
(14 over 5) · (15 over 5)
= 14·13·12·11·10/5! · 15·14·13·12·11/5!
= 6012006
(n over k) is the Binomial coefficient
Answer:
12. 524 in³ (3 sig. fig.) 13. 2000 cm³ (3 sig. fig.)
Step-by-step explanation:
12. Volume of sphere = (4/3)πr³
= 500/3π
= 524 in³ (3 sig. fig.)
13. Volume of cylinder = πr²h
= 7²π(13)
= 637π
= 2000 cm³ (3 sig. fig.)
The graph lines stay the same, however the y-intercept changes from (-1,0) to (-2,0), since it is now g(x) = x - 2, instead of f(x) = x - 1.
Answer:
The angles
are used to prove the similarity of triangles VWZ and YXZ.
Step-by-step explanation:
Given information: 
Two triangles are called congruent if their corresponding sides are in same proportion or the corresponding angles are same.
If two corresponding sides of triangle have same proportion and their inclined angle is same, then by SAS rule of similarity both triangles are similar.
From the given figure it is noticed that the ∠VZW and ∠YZX are vertically opposite angles. The vertically opposite angles are always equal.
(Vertically opposite angles)
(Given)
By SAS rule of similarity

Therefore the angles
are used to prove the similarity of triangles VWZ and YXZ.