A prism always has two congruent, parallel basses.
Answer:
(x - 9)(x^2 + 18x + 81).
Step-by-step explanation:
Use the difference of cubes factorization, which claims that a^3 - b^3 = (a - b)(a^2 + ab + b^2)
x^3 - 729 = (x - 9)(x^2 + 18x + 81)
Answer:JI=16, JH=15, <W=37, <J=114, <I= 29
Step-by-step explanation:
When naming congruent triangles, the corresponding points are named in order from one triangle to another.
Since it states triangle WXY is congruent to triangle HJI this means that W corresponds to H, X corresponds to J and Y corresponds to I.
JI corresponds to XY, JH corresponds to XW angle W corresponds to angle H, angle J corresponds to angle X and angle I corresponds to angle Y. Use the triangle congruency statement as your roadmap.
To find the missing angle in the triangle, use the triangle angle sum theorem which states that all interior angles of a triangle sum to 180.
37+114+<I= 180. Combine like terms.
151+<I=180. Subtract 151 from both sides.
<I= 29
Answer:
x = √K - 2xh - h²/a
Step-by-step explanation:
a(x+h)²=k
a * x² + 2xh + h² = k
a * x² = K - 2xh - h²
x² = K - 2xh - h²/a
x = √K - 2xh - h²/a
Answer:
x < 5
Step-by-step explanation:
3x < 15
divide by 3 on both sides
x < 5
