Answer: D
Step-by-step explanation: 5d^2 and d^2 share the same variable
x = the length of one piece
y = the length of the other piece
the total length is 100 cm this means
x + y = 100
one piece is 16 inches longer than the other
first we need to convert inches to cm:
1 in = 2.54 cm
16 in = 2.54*16 = 40.64
now we can write
x = y + 40.64
by solving the system of equations
x + y = 100
x = y + 40.64
we find
x = 70.32 cm
y = 29.68 cm
the lengths of the two pieces are 70.32 cm and 29.68 cm.
Step-by-step explanation:
The value of b will be 43° as it is vertically opposite angle.. !!
F, is the answer. I put it on my packet.
We can find m∠BCD like follows: m∠BCD=90°-45°=45<span>°
Now, m</span><span>∠DBC= 180°-(90°+45°)=45°
Remember that </span>

, so

We know that hypotenuse= BC= 3in and

=∠DBC)=45°, so replacing the values we get:

We can conclude that the segment CD is 2.12 in