If solving for y:
→ 2x + y = 8
→ Take away 2x from both sides
→ y = 8 - 2x
If solving for x:
→ 2x + y = 8
→ Take away y from both sides
→ 2x = 8 - y
→ Divide both sides by 2
→ x =
Answer:
17
Step-by-step explanation:
this is the answer.
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Answer:
a = 72° b = 88°
Step-by-step explanation:
We know in the cyclic quadrilateral opposite angles are supplementary so
a + 108° = 180° { being opposite angles of cyclic quadrilateral }
a = 180° - 108°
a = 72°
b + 92° = 180° { being opposite angles of cyclic quadrilateral }
b = 180° - 92°
b = 88°
Answer:
There should be at most 24 lucky numbers in the third bag.
Step-by-step explanation:
Initially, there are 200 numbers. Two bags with 100 each. There are 31+18 = 49 lucky numbers. So there is a 49/200 = 0.245 probability that a randomly selected number from a random bag is the lucky number.
Now with 300 numbers, we want this probability to be lower than 24.5%. So we should solve the following rule of three:
200 - 49
300 - x
With the third bag, the probability will be the same if 73.5-49 = 24.5 lucky numbers are added. So there should be at most 24 lucky numbers in the third bag.
Answer: 58 degrees
Step-by-step explanation:
