Answer:
x = 8
Step-by-step explanation:
Since P is at the midpoint of HR, then
HP = PR ← substitute values
7x + 2 = 58 ( subtract 2 from both sides )
7x = 56 ( divide both sides by 7 )
x = 8
Sqrt(486) - sqrt(24) + sqrt(6)
find the factors of 486 that we can remove from under the square root sign
2 * 243
2 * 3 * 81
2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)
Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)
Finally, add all 3 terms together
9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)
8 times square root of 6 is the final answer
The complementary event is that a customer does not enter the store within one minute of closing, and the probability is 75%.
The complement is found by subtracting from 100%; 100-25 = 75%.
Answer:
the unit rate for miles per gallons = 
Step-by-step explanation:
Let x be the unit rate for miles per gallon.
Given:
Jack drove 43.5 miles. He used 11 gallons of gasoline.
Find the unit rate for miles per gallon?
Jack used 11 gallons of gasoline for 43.5 miles.
11 gallons = 43.5 miles
The unit rate for miles per gallon is
unit rate of gallons = total miles divided by total used gallons of gasoline
Therefore, the unit rate for miles per gallons is 3.95 miles.
Answer:
Angles with the same measure are congruent, so Z1 = Z2.
Step-by-step explanation:
