Answer:
Segment BF = 16
Step-by-step explanation:
The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately
The given theorem is the Triangle Proportionality Theorem
According to the theorem, given that segment DE is parallel to segment BC, we have;

Therefore;

Which gives;

Similarly, given that EF is parallel to AB, we get;

Therefore;

Which gives;

Therefore, the statement that can be proved using the given theorem is segment BF = 16.
The problem is stating that there is a a ratio of 2:3 of pine to maples trees. Thus the total number of pine trees planted will be given by:
total ratio=2+3=5
thus the number of pines will be:
2/5×300
=120 pines
Answer: 120 pines
Answer:
(3/4)/5=.15, or in fractions, 3/20
Step-by-step explanation:
Answer:
375
Step-by-step explanation:
thre digit odd multiples of 25 >200 and <700 are 225,275,325,375,425,475,525,575,625,675
if all the digits are odd and different ,then 375,475
4+7+5=16 so not divisible by 3.
3+7+5=15 divisible by 3
375 satisfies all the conditions.
Answer:
$553300
Step-by-step explanation:
Let the rate of increase of radius with respect to time be dr / dt. Hence:
dr / dt = 0.4 ft/week
The cost of increasing the radius is $1,100 per cubic foot. We can calculate how fast the cost is growing by determining the rate at which the volume increases with time (dV / dt).
The volume (V) of a spherical object is given by:

Therefore, the cost of increasing volume = 503 feet³/week * $1100 / feet³ = $553300