Answer:
10:1
90 red counters
30 blue
1/3 of 90 =30
80% of 30 =24
90-30 =60 remaining red counters
30-24 =6 remaining blue counters
= 60:6 simplest form is 10:1
Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
Answer:
The correct answer is the last choice. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
Step-by-step explanation:
In the first segment of the trip, the car goes from 0 to 2 hours and the line is moving up. Therefore, it traveled for 2 hours.
In the second segment, the line went straight horizontal for 1 hour. That means the distance didn't change, in other words, it didn't move.
In the last segment, it moved up again for 2 hours.
Answer: Angle 4
Step-by-step explanation:
The angle of depression is formed by the line of sight and the horizontal line tangent to the top of the observer.
Answer:
25GB was used that month
Step-by-step explanation:
Here, we want to calculate the GB used for the month.
Since we have $59.99 for 20GB, then the extra that brought the bill to $75.99 must have been from the beyond charges.
The extra charges is thus $75.99 - $59.99 = $20
Now, since $4 is charged as extra and we have a total of $20, the number of extra GB is thus 20/4 = 5
So the total GB for that month is 20 + 5 = 25GB
