Triangle ABC:
AB=2
BC=x+5
CA=x+7
Triangle XYZ:
XY=4
YZ=?
ZX=4x-2
x=?
XY/AB=ZX/CA
4/2=(4x-2)/(x+7)
Simpliying:
2=(4x-2)/(x+7)
Solving for x: Cross multiplication:
2(x+7)=(4x-2)
2x+14=4x-2
2x+14-2x+2=4x-2-2x+2
16=2x
16/2=2x/2
8=x
x=8
Answer: The value of x is 8
Answer:
10.4
Step-by-step explanation:
Step-by-step explanation:
f(x) goes through the point (0, 1).
g(x) goes through (2, 1) for the same y value.
that means g(x) is f(x) translated 2 units to the right.
but we could also look at the same x value (0).
then g(x) goes through (0, -5).
and that means g(x) is f(x) translated 6 units down.
since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.
as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.
that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5
and that is what the graph is showing us.
Answer $100 each
Step-by-step explanation:
2500/25
12. I assume 
denotes the complement of A, so
Then by definition of conditional probability,
13. By inclusion/exclusion,
