Answer:
256
Step-by-step explanation:
We are given the series
1, 16, 81, __, 625, 1296
The missing number in the sequence is the fourth term
From the above sequence, we know that
1, 4², 9² , __, 25² , 36²
Difference between first term = 4 - 1 = 3
9 - 4 = 5
x - 9 = 7
x = 9 + 7 = 16
Hence, the fourth term = 16²
= 256
Answer:
C
Step-by-step explanation:
We require to find DC
ΔDEC and ΔBAC are similar triangles, hence the ratios of corresponding sides are equal, that is
=
, that is
=
( cross- multiply )
23.5DC = 506 ( divide both sides by 23.5 )
DC ≈ 21.532
distance travelled = BC + DC = 44 + 21.532 ≈ 65.5 in → C

1) Since these triangles are congruent, then we can write out the following for congruent triangles have congruent sides:

2) Still based on that principle, we can plug v=2 into any of those formulas to get the measure of QS and TV. So let's pick the simpler one:

As we can see these segments are congruent.