2.

(this is given in the first sentence)
3.

and

due to ...
7. ... the alternate interior angles theorem (which holds because

and

are parallel)
8. Because the above establishes that

, which means

, which in turn means

is a parallelogram.
Answer:
t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.
Step-by-step explanation:
100 = 5 * 10^(0.3t), solve for t
Divide both sides by 5:
20 =10^(0.3t)
Take the log of both sides:
0.3t =log(20)
Divide both sides by 0.3:
Multiply the RHS by 10 / 10
t =log(20) / 0.3 = 10*log(20) / log(1,000) - years - when the tree will have 100 branches.
Area Y Square + Area of triangle
= 10x10+1/2x18x5
=100+9x5
=100+45
=145.
First, find the area of the circle using the formula A=pi r^2.
A=pi (2x+3)^2 = pi(4x^2 + 12x + 9)
Second, find the area of the rectangle inside by multiplying the polynomials.
(X+1)*(3x+2) = 3x^2 + 5x +2
Third, subtract the area of the rectangle from the area of the circle to find the area of the shaded region.
pi(4x^2 + 12x + 9) - 3x^2 + 5x +2 =area of shaded region
Or
(pi (2x+3)^2) - ((X+1)(3x+2)) = area of shaded region
Answer:
The tree diagram is shown in the tree diagram is shown.
If the probability to hit is 0.7, then the probability to miss is 0.3.
P(hit, hit) = 0.7*0.7 = 0.49
P(hit, miss) = 0.7*0.3 = 0.21
P(miss, hit) = 0.3*0.7 = 0.21
P(miss, miss) = 0.3*0.3 = 0.09