Answer:
x=40
Step-by-step explanation:
The sum of the angles of a triangle add to 180
x+102+38 = 180
Combine like terms
x + 140 = 180
Subtract 140 from each side
x+140-140 = 180-140
x = 40
Answer:
Choice 4.
Step-by-step explanation:
f(g(x))
Replace g(x) with x^2+8 since g(x)=x^2+8.
f(g(x))
f(x^2+8)
Replace old input,x, in f with new input, (x^2+8).
f(g(x))
f(x^2+8)
2(x^2+8)+5
Distribute:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
Combine like terms:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
2x^2+21
If the original price was 'p', the new price would be 'p - 10%p' or 'p - 0.1p'. We know this is equal to 305, so 'p - 0.1 p = 305' would be the equation.
Answer:
x = 11/2
Step-by-step explanation:
solve : 2x-6 = 5
2x-6+6= 5+6 add 6
2x = 11 divid by 11
x = 11/2
Answer:
k = 143
Step-by-step explanation:
Use the point-slope formula for the equation of a straight line:
y-h = m(x-k), where (h,k) is one of the given points and m is the given slope (-15). Here I'll use the point (-4,k).
y-k = -15(x-[-4]), or y - k = -15(x+4). Now use info from the other point: x=6 and y = -7:
-7 - k = -15(6+4). Here we have enough info to be able to find k.
Solving for -k, we get -k = 7 - 90 - 60, or -k = -143. Then k = 143.
