Answer:
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The Floridians can predict to hear the thunder on about 183 days out of the 730 days.
<u>Step-by-step explanation:</u>
Given that,
- The total number of days = 730 days.
- The probability of hearing thunder on any day in Florida = 25%
Let 'x' be the number of days out of 730 days that Floridians will hear thunder.
<u>To find the number of days that Floridians will hear thunder :</u>
Number of days will hear thunder = 25% of Total days
The 25% can be expressed in the form of 25/100.
Therefore, the x days that Floridians will hear thunder is given as,
⇒ x = (25/100) × 730
Further simplifying the above equation,
⇒ x = 2.5 × 73
⇒ x = 182.5
Since the number next to the decimal point is equal to 5, round it to the nearest integer.
Therefore, the value of x is approximately equal to 183 days.
Thus the Floridians can predict to hear the thunder on about 183 days out of the 730 days.
Answer:
x = 75
y = 105
Step-by-step explanation:
Remark
You can find y in two different ways.
One
You can recall that y is the sum of the 2 interior angles not connected to it. Those angles are called the remote interior angles. Or
Two
You can add the three angles to 180 and solve for x. Then since x and y are supplementary, you can find y.
Solution
One
y = 60 + 45
y = 105 Answer
Two
x + 60 + 45 = 180 All triangles have 180 degrees. Solve for x.
x + 105 = 180 Subtract 105 from both sides
x = 180 - 105 Combine
x = 75 Find an equation that relates x and y
x + y = 180 x and y are supplementary they add to 180
75 + y = 180 Subtract 75 from both sides.
y = 180 - 75 Combine
y = 105
