Answer:In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent)
Step-by-step explanation:
As congruent means shapes having the same length and same internal angles. In the given figure the two statements are already written. The only information about sides AD and BC are missing to complete the proof of congruent diagonals.
Answer:
option 4
Step-by-step explanation:
using the sine/ cosine ratios in the right triangle and the exact values
cos30° =
, sin30° =
, then
cos30° =
=
=
( cross- multiply )
2x = 20
×
= 20 × 3 = 60 ( divide both sides by 2 )
x = 30
and
sin30° =
=
=
( cross- multiply )
2y = 20
( divide both sides by 2 )
y = 10
100 miles ............... 2 hours
x miles ................1 hour
x = 100 m / 2 h = 50 m / h
He can use:
a quarter and a dime (difference: 15)
a quarter and two nickels (difference: 20)
a dime and three nickels (difference: 5)
two dimes and a nickel (difference: 5)
Answer:
Gets smaller
Step-by-step explanation:
- The standard deviation is the quantification of spread of data. According to descriptive statistics the standard deviation s is given by:
s = Σ ( x - u ) / sqrt ( n )
Where, n : sample size
u : Mean value
- So we see that standard deviation (s) is inversely proportional to square root of sample size (n).
- We can see that as sample size (n) increases the standard deviation (s) decreases.