Answer:
Will's age = 9 years
Bill's age = 11years
Step-by-step explanation:
Let will age = x
Bill = x +2 since he is 2 years older
x(x+2) = 5( x +x+2) - 1
Opening brackets
x² + 2x = 5(2x + 2) - 1
x² + 2x = 10x + 10 - 1
x² + 2x = 10x + 9
Collect like terms
x² + 2x - 10x - 9 = 0
x² - 8x - 9 = 0
Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.
The factors are -9 and +1
x² + x - 9x - 9 = 0
x(x + 1) -9( x +1)
x+1) (x -9) =0
x + 1 = 0 or x -9 =0
x = -1 or 9
Age can not be negative
Therefore,
Will's age = 9 years
Bill's age = x+2 = 9+2 = 11years
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Answer:
X=8
Step-by-step explanation:
Opposite side angles on the transversal are congruent.
SO 6x-2=46
46+2=48
48/6=8
X=8
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°,
⊥
, AP = 9, and PM = 16
² +
² =
²
=
+ PM = 9 + 16 = 25
= 25
² =
² +
² = 9² +
²
∴
² = 9² +
²
Similarly we get;
² = 16² +
²
Therefore, we get;
² +
² = 9² +
² + 16² +
² =
² = 25²
2·
² = 25² - (9² + 16²) = 288
² = 288/2 = 144
= √144 = 12
From
² = 9² +
², we get
= √(9² + 12²) = 15
= 15
From,
² = 16² +
², we get;
= √(16² + 12²) = 20
= 20.
I believe it's 8 because it's scale is 4 times bigger.
2×4=8
Step-by-step explanation:
Use photo math in the AppStore