9514 1404 393
Answer:
(d) 9
Step-by-step explanation:
The relation you're supposed to apply here is ...
an exterior angle of a triangle is equal to the sum of the remote interior angles.
__
The exterior angle is 17x+7, and it is equal to the sum of the two marked angles inside the triangle.
17x +7 = 13x +3 +40
4x = 36 . . . . . . . . . . . . . subtract 13x+7 from both sides
x = 9 . . . . . . . . . divide both sides by 4
Answer:
See the below part
Step-by-step explanation:
1)
8 - 2x = 5 - 4x
=> 8 - 5 = -4x + 2x
=> 3 = -2x
=> 3/-2 = x
=> -3/2 = x
2)
4 + 3x = 2 - 2x
=> 4 - 2 = -2x - 3x
=> -2 = -5x
=> 2 = 5x
=> 2/5 = x
3)
2(x - 1) + 2(3x - 1) = 0
=> 2x - 2 + 6x - 2 = 0
=> 8x - 4 = 0
=> 8x = 4
=> x = 4/8
=> x = 1/2
Let the amount he invested in the 5% rate be x and the one in the 7.5% rate be y, then
x + y = 10000 . . . (1)
0.05x = 0.075y . . . (2)
From (2), x = 0.075y/0.05 = 1.5y . . . (3)
Putting (3) into (1) gives
1.5y + y = 10000
2.5y = 10000
y = 10000/2.5 = 4000
x = 1.5(4000) = 6000
Therefore, he invested $6,000 in the secure GIC at 5% and $4,000 in the mutual fund.
C is the answer bc its (5)^2-10(5)+25 so then it is 25-50+25 which = 0