Answer:
Step-by-step explanation:
Remark
The relationship that solves this is
The outside segment * the whole length of the secant = the outside segment of the other secant * the whole length of the second secant.
Put in symbolic (and hence easier language)
GF * EG = HG * SG
Givens
GF = 4
EG = 2x + 4
GH = 5
SG = x + 5
Equation
4*(2x + 4) = 5*(x + 5) Remove the brackets
8x + 16 = 5x + 25 Subtract 5x from both sides
8x - 5x + 16 = 25 Combine
3x + 16 = 25 Subtract 16 from both sides
3x = 25 - 16
3x = 9 Divide by 3
3x/3 = 9/3
x = 3
EF = 2 * 3
EF = 6
Answer:
a = 3, b = 1, c = - 3
Step-by-step explanation:
Substitute n = 1, 2, 3 into the n th term
a + b + c = 1 → (1)
4a + 2b + c = 11 → (2)
9a + 3b + c = 27 → (3)
Subtract (1) from (2) term by term to eliminate c
Subtract (2) from (3) term by term to eliminate c
3a + b = 10 → (4)
5a + b = 16 → (5)
Subtract (4) from (5) term by term to eliminate b
2a = 6 ( divide both sides by 2 )
a = 3
Substitute a = 3 into (4) and evaluate for b
3(3) + b = 10
9 + b = 10 ( subtract 9 from both sides )
b = 1
Substitute a = 3, b = 1 into (1) and evaluate for c
3 + 1 + c = 1
4 + c = 1 ( subtract 4 from both sides )
c = - 3
Then a = 3, b = 1 and c = - 3
So will be choice D.
bc. 5/6 = 10/12 = 2*5/2*6 = 5/6
The answer is 1120 hope this hell
