a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)
if a + b + c = 0. then a³ + b³ + c³ = 3abc
here a + b + c = 15 + (-9) + (-6)
a + b + c = 15 - 15
a + b + c = 0
so a³ + b³ + c³ = 3abc
15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)
= 2430
so the answer is 2430
A because you move down 5 units and over 2
Answer:
Step-by-step explanation:
Given
The attached triangle
Required
Find x
The value of x will be found using the following equivalent ratios:
Convert to fraction
Factorize:
Simplify
Cross Multiply
Collect Like Terms
(Refer to the diagram in the attached photo.)
In this diagram there is defined two
Sides and an
Angle in between (SAS).
Notice how there are two loose endpoints in the diagram. A single line segment can be drawn connecting the endpoints, forming a unique triangle.
If the original diagram is transformed, the dimensions and angles formed by the third line segment remains the same relative to the first two.
Therefore, if two triangles have the same SAS configuration, then they are congruent.
A. 176 because if there are 252 total and 76 on the balcony your answer is 252-76.