Well, start from 100% and work backwards.
It takes 5600 years to get to 50%
Another 5600 years to get to 25%
And a bit under another 5600 to get to 15% (another 5600 years would get it down to 12.5%)
Add the first two 550s to get 1120, and add about 5,000 and see which answer is closest.
In this case, D is closest at 15!w29
There are more exact ways of solving, but for a multiple choice this is faster and efficient nonetheless
Answer:
Step-by-step explanation:
Emma jogs 2 miles along the beach in 1/3 of an hour. At a constant rate, the distance that she jogs on 1 hour would be
Let x represent the number of mikes that she would jog in 1 hour.
If 2 miles = 1/3 of an hour, then
x = 1 hour
Cross multiplying, it becomes
x × 1/3 = 2 × 1
x/3 = 2
x = 3 × 2 = 6 miles
The equivalent rate with a denominator of 1 is 6/1 miles
Answer:
Part a) By alternate interior angles
Part b) By vertical angles
Part c) By AAA (Angle-Angle-Angle) Similarity Theorem
Part d) Triangles ABC and CDE are similar
Part e)
or 
Step-by-step explanation:
Part a)
we know that
If AB is parallel to DE
then
m<1=m<4 ------> by alternate interior angles
Part b)
we know that
m<5=m<6 -------> by vertical angles
Part c) we know that
The two triangles are similar by AAA (Angle-Angle-Angle) Similarity Theorem ------> The three corresponding angles are equal
so
m<1=m<4
m<5=m<6
m<3=m<2
Part d) we know that
If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
therefore
Triangles ABC and CDE are similar
Part e) Find the length side of b
Remember that
If two figures are similar, then the ratio of its corresponding sides is equal
so

substitute the values

or

There are only two whole numbers. Those are 1, and 5