Answer:
45° and 135°
Step-by-step explanation:
let one angle be "x" and the other be "y"
Angles which are supplementary total to 180°. This can be represented with the equation:
x + y = 180
If angle "x" is a third of angle "y", the situation is represented with this equation:
(1/3)x = y
Since fractions are difficult to work with, multiply the whole equation by 3.
(1/3)x = y <= X 3
x = 3y
Use the equations x+y=180 and x=3y.
You can substitute x=3y into x+y=180.
x + y = 180
(3y) + y = 180 <=combine like terms
4y = 180 <=isolate y by dividing both sides by 4
y = 45
Substitute y=45 itno the equation x+y=180 to find x.
x + y = 180
x + 45 = 180 <=isolate x by subtracting 45 from both sides
x = 135
Therefore the angles are 45° and 135°.
Answer:
x > -6
Step-by-step explanation:
-2x - 4 > 8
collect like terms
-2x > 8 + 4
-2x > 12
Divide both sides by -2, we will have
x > 12/-2
x > -6
F(x)=10-16/x
f'(x)=16/x^2
f'(c)=16/c^2
f(8)=10-16/8=10-2=8
f(2)=10-16/2=10-8=2

4∈[2,8] is the required point.
She deposited two amounts, let's say "a" and "b"
"a" earning 2% interest
"b" earning 2.5% interest
the 2.5% one, is twice as much as the 2% one
so.. one can say that, whatever "a" is, "b" is twice as much,
or b = 2*a -> b = 2a
now.. .the sum of both earned interest, was $1190
so.. one can say that (2% of a) + (2.5% of b) = 1190
let' us use the decimal notation then

solve for "a" to find what the "a" amount is,
to find "b", well, "b" is "2a", so just do a 2*a to get "b"