Answer:
A
Step-by-step explanation:
This is because when two angles of a traiangle are equal, it is obvious that the third angle of the triangles is equal too. Therefore, when all three angles of a triangle are equal, they are similar with the third-angle theorem.
Answer:

Step-by-step explanation:
A) 3x²c² + 5xc² - 2c²
Factor c² from all terms in the expression.
c²(3x² + 5x - 2)
Factor 3x² + 5x - 2
c²(3x-1)(x+2)
B) x² + 6x + 9
x² + 3x + 3x + 9
Factor common terms.
x(x+3)+3(x+3)
Take x+3 common.
(x+3)(x+3)
C) x² - 9
x² -3²
Apply formula : a² - b² = (a+b)(a-b)
(x+3)(x-3)
92
given 2a² + 5b²
substitute given values for a and b into the expression
2(- 6)² + 5(2)² = (2 × 36 ) + (5 × 4) = 72 + 20 = 92
Answer:
x=-1
Step-by-step explanation:
7x + 8 − 3x = −6 + 10
4x+8=4
4x=4-8
4x=-4
x=-4/4
x=-1
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The equation that describes the relation between the number of games (g) and the number of teams (n) is given as follows:
g = n^2 - n
Now, we are given that the number of games is 132. This means that g=132. To know the number of teams, substitute with the given g in the given equation as follows:
g = n^2 - n
132 = n^2 - n
n^2 - n - 132 = 0 .......> factorize this expression
(n-12)(n-11) = 0
This means that:
either n = 12 teams
Or n = -11 teams (this solution is rejected as the number of teams cannot be negative)
Therefore, based on the above calculations, if the number of games is 132, then, the number of teams is 12