Answer:
x = 10
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠CBD is an external angle of the triangle, thus
4x + 30 = 2x + 10 + x + 30, that is
4x + 30 = 3x + 40 ( subtract 3x from both sides )
x + 30 = 40 ( subtract 30 from both sides )
x = 10
Answer:
$27
Step-by-step explanation:
Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?
Total mileage included with the rental = 54 miles
Additional cost per mile after 54 miles = $1 4/5
Total miles Thomas drives = 69 miles
Extra miles Thomas drives = 69 miles - 54 miles
= 15 miles
how much extra does he need to pay?
Extra cost Thomas needs to pay = Additional cost per mile after 54 miles * Extra miles Thomas drives
= $1 4/5 * 15 miles
= 9/5 * 15
= (9 * 15) / 5
= 135/5
= 27
Extra cost Thomas needs to pay = $27
Tell your cousin good luck and that the answer is 5 :)
Answer: Satisfied for n=1, n=k and n=k+1
Step-by-step explanation:
The induction procedure involves two steps
First is
Basic Step
Here we consider that for the value n=1, there is one car and it will always make the full circle.
Induction Step
Since basic step is satisfied for n=1
Now we do it for n=k+1
Now according to the statement a car makes full circle by taking gas from other cars as it passes them. This means there are cars that are there to provide fuel to the car. So we have a car that can be eliminated i.e. it gives it fuels to other car to make full circle so it is always there.
Now ,go through the statement again that the original car gets past the other car and take the gas from it to eliminate it. So now cars remain k instead of k+1 as it's fuel has been taken. Now the car that has taken the fuel can make the full circle. The gas is enough to make a circle now.
So by induction we can find a car that satisfies k+1 induction so for k number of cars, we can also find a car that makes a full circle.
<span>One pair of metric unit of length would be meters and kilometers. 1 km is equal to 1000 meters. Metric system is the official/standard in measuring length, mass, area, volume, speed, etc. and it is the agreed system of measurement.</span>