Answer:
Step-by-step explanation:
The segment addition theorem tells you ...
CD +DE = CE
x^2 +12x = 32 -2x
Subtract the right side to put this in standard form.
x^2 +14x -32 = 0
(x +16)(x -2) = 0
x = -16 or 2
In order for DE to have a positive length, we must have x > 0. So ...
CD = x^2 = 2^2 = 4
DE = 12x = 12(2) = 24
CE = 32 -2x = 32 -2(2) = 28
Answer:
what is your age
Step-by-step explanation:
the problem is incomplete until you pit your age
Answer:
x= 6
Step-by-step explanation:
12+3x=30
3x+12=30
3x+12-12=30-12
3x=30-12
3x=18
3x divided by 3 = 18 divided by 3
x=18 over 3
18 divided by 3 is 6
x=6
The deck consists of 4 jacks, 26 black cards, and 13 hearts.
There is only 1 way of drawing all 4 jacks:
.
There are
ways of drawing 4 black cards.
There are
ways of drawing 4 hearts.
There are
ways of drawing any 4 cards.
The probabilities are then
a.

b.

c.

Step-by-step explanation:
-3+6k+11k-10-9y+5x-y-13x
-13+17k-10y-8x
-5x+6x-9x+5xy
-8x+5xy