Answer:
Josh is 70% of his fathers height
Step-by-step explanation:
49/70=0.70
0.70 into a percent is 70%
Yes. The two theorems are equivalent statements given that the fundamental theorem of calculus is true.
Answer:
The values of
and
are
and
, respectively.
Step-by-step explanation:
The statement is equivalent to the following mathematic expression:
(1)
By definition of the perfect square trinomial:


And by direct comparison we have the following system:
(2)
(3)
By (3), we solve for
:


The values of
and
are
and
, respectively.
Answer:
DE = 13.4 cm (to 1 decimal place)
Step-by-step explanation:
Given: ABCD is a square
BC = AC = 12 cm (opposite sides of a square are congruent)
E is midpoint of BC (given)
BE = EC = 12/2 = 6 cm
CD = AB = 12 cm (opposite sides of a square are congruent)
angle ECD is a right angle (interior angles of a square are 90 deg.)
Consider right triangle ECD
DE = sqrt(EC^2+CD^2) ............. pythagorean theorem
= sqrt(6^2+12^2)
= sqrt ( 36+144 )
= sqrt (180)
= 2 sqrt(45)
= 13.416 (to three dec. places)
The opposite sides are equal in length.
Step-by-step explanation:
Opposite sides of a parallelogram must be congruent. This is a property of all parralelograms.