since triangles are similar
4/x = 7x/7
=》 4/x = x
=》x^2 = 4
=》 x = 2
for right triangles a^2 = b^2+c^2
DF^2 = 7^2+2^2 = 53
=》 DF = 7.28
perimeter of DEF = 7 +2+7.28 = 16.28
Answer:
10
or 14.14 appromiximately
Step-by-step explanation:
Area of square = 100
So length on side = 10 because all sides of square equal.
Length of Diagonal = Side x 
So the length of diagonal is 14.14 approximately
20mn - 30m
As you can see, both numbers are divisible by 10m. So if you were to divide them both, you would be left with, 10m (2n - 3), which would be the correct answer.
The sum of the convergent series
is 5.31
For given question,
We have been given a series 
We need to find the sum of given convergent series.
Given series is a geometric series with ratio r = sin(1)
The first term of the given geometric series is 
So, the sum is,
= 
= sin(1) / [1 - sin(1)]
This means, the series converges to sin(1) / [1 - sin(1)]

=
= 
= 
= 5.31
Therefore, the sum of the convergent series
is 5.31
Learn more about the convergent series here:
brainly.com/question/15415793
#SPJ4
Yes they are! hope this helps :)