Option C:
The perimeter of the rhombus is 100 inches.
Solution:
AC = 30 inches, BD = 40 inches
In rhombus, diagonals bisect each other at right angles.
AE = CE = 15 inches
BE = ED = 20 inches
In ΔAED, ∠E = 90°
Using Pythagorean theorem,





Taking square root on both sides, we get
AD = 25 inches
In rhombus, all sides are equal in length.
AD = DC = CB = BA = 25 inches.
Perimeter = AD + DC + CB + BA
= 25 + 25 + 25 + 25
= 100 inches
The perimeter of the rhombus is 100 inches.
Option C is the correct answer.
Answer:
<em>BC = 27</em>
Step-by-step explanation:
The point B is the midpoint of AC
=> AB = BC
=> 4x - 5 = 11 + 2x
Let's calculate x to work out BC
Transferring the components containing x to the left side, and other components to the right side:
=> 4x - 2x = 11 + 5
Simplifying both sides:
=> 2x = 16
=> x = 8
Working out BC:
=> BC = 11 + 2x = 11 + 2(8) = 11 + 16 = 27
Hope this helps!
47.47 ................................
So I worked this out by adding all the houses together. I whole hour is two half hours. So it made it 2/3 of an hour. so I added everything together = 1/3+ 1/3+ 1/3 +1/3+ 1.5/3 = 3 1/2 Hours to walk.
Answer:
3 ! = 6
Step-by-step explanation:
Using the definition of factorial
n! = n(n - 1)(n - 2) × 3 × 2 × 1 , then
3! = 3 × 2 × 1 = 6