The quadrilateral is cyclic, because the angle that the tangent and the radius meet forms a right angle. Since the two opposite angles are 90° each, they form a 180° summation. Thus, the four points are cyclic.
Now, the smaller ∠O is 135, which means x is 180 - 135 because the four points are concyclic. Thus ∠O + x = 180°
Hence, x = 180 - 135 = 45°
∴ x = 45°
Answer:
15 i think
Step-by-step explanation:
Subtract 9 from both sides of the '=' sign
9 - 9 + b = -8 -9
b = -17 That's the answer.
See below the theee of possibilities:
BBBB
BBBG
BBGB
BBGG
BGBB
BGBG
BGGB
BGGG
GBBB
GBBG
GBGB
GBGG
GGBB
GGBG
GGGB
GGGG
There are 16 differents possibilities.
In 11 of them have at least 2 boys
So probability is 11/16
Answer:
You should graph the lines (0, 0) to (2, 120), (2, 120) to (2.5, 120), and (2.5, 120) to (3.5, 150).
Step-by-step explanation:
If we see, for the first part, she drive 60 miles an hour and drives for 2 hours. This means that after 2 hours, she has driven 60 * 2 = 120 miles in 2 hours. Then she spends 30 minutes, or half an hour, no moving forward as she changes the tire. Finally, she drives at 30 miles an hour for an hour. This means she has driven 120 + 30 = 150 miles in total after 3 and a half hours.
Our first line goes from (0, 0) to (2, 120), as thats how far we drove in 2 hours. The next line goes from (2, 120) to (2.5, 120), as she was changing a tire and made no progress. Finally, the last line goes from (2.5, 120) to (3.5, 150), as she drives for another hour at 30 miles an hour.
