12 red counters
7 more red counters than yellow counters
12 - 7 = 5 yellow counters
Dara has 5 yellow counters.
Assuming the interest is simple interest, as opposed to compound interest,
Answer:
Step-by-step explanation:
4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°
5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.
6) NOT parallel. see pic.
If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel
7)
b = 78° as it corresponds with a labeled angle above it
a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180
f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180
e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180
c = 58° as it corresponds with f
d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180
Answer:
Step-by-step explanation:
The standard equation of a parabola is
y² = 4ax
where, a is the focus,
The coordinates of the centre of parabola is (0,0)
coordinates of focus is (a, 0)
It is symmteric about the x axis
the equation of directrix is x = -a.
Answer:
The probability that Alice wins the game=
Step-by-step explanation:
We are given that Alice and Bob are playing a game .
We have to find the probability that Alice wins the game .
If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.
Total results in a coin=Head, tail=2
Number of head in a coin=1
Number of tail in a coin= 1
Probability is defined as the possibility of an event that occurred

The probability that Alice wins the game=
The probability that Alice wins the game=
The probability that Alice wins the game=