Answer:
Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16
Step-by-step explanation:
Let the number he gave to Alaina be x. Now, we know he gave twice as many to Miguel. Amount received by Miguel is 2x.
He gave Kira 2 times what he gave Miguel, that is 2x * 2 = 4x
Addition of all these equals 28. We now get x
4x + 2x + x = 28
7x = 28
X = 28/7
x = 4
Alaina got 4, Miguel got 2(4) = 8 while Kira got 2(8) = 16
Simplifying
b2 + 12b + 35 = 0
Reorder the terms:
35 + 12b + b2 = 0
Solving
35 + 12b + b2 = 0
Solving for variable 'b'.
Factor a trinomial.
(7 + b)(5 + b) = 0
Subproblem 1
Set the factor '(7 + b)' equal to zero and attempt to solve:
Simplifying
7 + b = 0
Solving
7 + b = 0
Move all terms containing b to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + b = 0 + -7
Combine like terms: 7 + -7 = 0
0 + b = 0 + -7
b = 0 + -7
Combine like terms: 0 + -7 = -7
b = -7
Answer:
CPCTC
Step-by-step explanation:
Statements 3 and 4 show the top and bottom triangles are congruent, and the left and right triangles are congruent. Statement 5 is making use of these facts to claim that the alternate interior angles are congruent. This claim is valid because ...
Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
Angle 4 equals angle 5, when all angles are equal and the triangles are similar
