We have four two cards in 52 cards and four ten cards in the same playing cards
to get our first four cards we choose one from the whole set of 52 cards
but to get the next card with ten we choose them out of 51 because we took the first card with value two and we have not replaced it
this gives us
4/52*4/51=0.006
Answer:
150°
Step-by-step explanation:
to find the individual angle of a REGULAR dodecagon (which means that all sides are equal), you'd use the equation I(individual angle)= (n-2)×180/n
N is number of sides. The number of sides on a dodecagon is 12. So, substitute N for 12
I= (12-2)×180/12 which simplifies to 10×180/12
10×180= 1800
1800/12 = 150
so, an individual interior angle of a dodecagon is 150°
Answer:
Both angles have a measure of 134degrees, y = 27degrees.
Step-by-step explanation:
As per what is given in the problem:
There are 2 parallel lines, both are intersected by a transversal.
Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
The is meanse that:
3y + 53 = 7y - 55
Solve using inverse operations:
3y + 53 = 7y - 55
+55 +55
3y + 108 = 7y
-3y -3y
108 = 4y
/4 /4
27 = y
Now, substitute back in to find the value of the angle:
3y + 53
y = 27
3 ( 27 ) + 53
81 + 53
= 134
Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.
Answer:
Step-by-step explanation:
let x = the amount of money in the second piggy back
We assume that the second piggy bank has MORE than the piggy bank with $7.31 in it:
x - 7.31 ≤ 10
<u>Solution</u>
Add 7.31 to both sides: x - 7.31 + 7.31 ≤ 10 + 7.31
⇒ x ≤ 17.31
