what are all the square numbers
1 answer:
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*see attachement for diagram
Answer:
∠P = 140°; ∠S = 40°
Step-by-step explanation:
The figure given is a parallelogram.
Consecutive angles (adjacent angles) of a parallelogram are supplementary.
Therefore:
(x + 15)° + (6x - 10)° = 180°
Solve for x
x + 15 + 6x - 10 = 180
Add like terms
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 175/7
x = 25
✔️m<P = m<R = 6x - 10 (opposite angles of a parallelogram are congruent)
m<P = 6x - 10
Plug in the value of x
m<P = 6(25) - 10 = 140°
✔️m<S = m<Q = x + 15 (opposite angles of a parallelogram are congruent)
m<S = x + 15 = 25 + 15 = 40°
Answer:
40/289
Step-by-step explanation:
We can see these two events are independent as Regina replaced marble after drawing one marble.
We can find possible outcomes by adding number of blue, red and yellow marbles.
possible outcomes= 4+3+10= 17
Let us find probability of getting a blue marble on first draw.
Now we will find probability of getting red marble.
We can find probability of getting a blue marble and then red marble by multiplying both probabilities.