Answer:
1. 35
2. 145
3. 55
4. 90
5. 145
Step-by-step explanation:
1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145
∠1 = 35
2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal
3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55
4. ∠5 = 90. It is given
5. 145: ∠9 = ∠2 because they are vertically opposite
Let the two numbers be x and y
Then
x + y = 60
And
x - y = 2
x = y + 2
Putting the value of x in the first equation we get
x + y = 60
y + 2 + y= 60
2y + 2 = 60
2y = 60 - 2
2y = 58
y = 58/2
y = 29
Now putting the value of y in the first equation we get
x + y = 60
x + 29 = 60
x = 60 - 29
x = 31
So the value of the two numbers comes out to be 31 and 29. I hope the procedure is clear enough for you to understand.
Negative numbers aren't considered in any of those categories.
<span>This answer assumes that the majority of the 1,500 miles are on the highway. After adding up the total cost for the trip for each car, the Toyota Camry is the better value.
Toyota Camry:
Base Price: $553.28
Gas Price: $172.72
Total Price: $726.01
Toyota Prius:
Base Price: $804.61
Gas Price: $118,75
Total Price: $923.36
Therefore, based on the distance traveled on this trip, the Toyota Camry is the better value. A longer trip would likely turn the Prius into the better value but not for a 1,500 mile trip.</span>
Answer:
6 is 25% of 24.
Step-by-step explanation:
6 ÷ 24 = 0.25 = 25%
