Answer:
x = 11
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FEB and ∠ DEB are adjacent angles and supplementary, thus
∠ FEB = 180 - 4x , so
180 - 4x + x = 147, that is
180 - 3x = 147 ( subtract 180 from both sides )
- 3x = - 33 ( divide both sides by - 3 )
x = 11
Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle
Answer:
86400 ways
Step-by-step explanation:
Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.
Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.
After picking the places for the women, we will now fill each gap between two women with a man.
We have 6 men. Thus, number of ways to arrange the men is 6!
Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways
Answer:
see the explanation
Step-by-step explanation:
we know that
A gross is equal to 120 ones or ten dozen
what is 15 tens - 1 gross
we know that
15 tens means ----> That you are adding 10, 15 times or multiplying 10 by 15, which gives you
1 gross means ---> That you are adding 10, 12 times or multiplying 10 by 12
which gives you
so
The algebraic expression of 15 tens - 1 gross is equal to
Convert to word expression
3 tens
Answer:
3.6 mph
Step-by-step explanation:
The total distance was 6 mi. and the total time was 5/3 hr.
6 ÷ 5/3 = 6(3/5) = 18/5 = 3.6 mph
Answer:
There are two intersections
Step-by-step explanation:
The number of intersections can be found by calculating the delta of the equation
Δ=b²-4ac
if Δ=0, there is 1 intersection
if Δ>0 there are 2 intersections
if Δ=<0, there are no intersections
where the quadratic equation is in the form ax²+bx+c
Δ=7²-4(2)(6)
=1>0
There are two intersections
