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:
See explanation
Step-by-step explanation:
<u>Step 1.</u> Substitute for d to solve for n:
From the first equation:

Then substitute it into the second equation:

<u>Step 2:</u> Substitute for n to solve for d:

There are 40 dimes and 30 nikels in the piggy bank
Circle b:
Diameter = x
Radius =

Area =

Circle a:
Diameter =

Radius =

Area =

Thus,
Area of circle b to area of circle a
=

÷

=

×

= 4
Hence, the area of circle b is
4 times the area of circle a.