Answer:
B
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
6x3 = 18
4x3 = 12
18 - 12 = 6
16 / 4 = 4
6 - 4 = 2
Answer:
The measure of angle C is 
Step-by-step explanation:
we know that
If AB || DC
then
-----> supplementary angles by consecutive interior angles
and remember that the sum of the interior angles in a trapezoid is equal to 360 degrees

step 1
Find the measure of angle D
substitute the measure of angle A
step 2
Find the measure of angle C

substitute the values


Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) = 


By applying tangent rule in the given right triangle BOC,
tan(60°) = 
OC = BO(√3)
OA + OC = AC

2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) = 
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3
Answer:
probability of picking the winning combination
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Since the order is not important, the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
The correct five numbers from a set of 5. So

Total outcomes:
Five numbers from a set of 35. So

Probability:

probability of picking the winning combination