These three jobs were in the paper today: frank's furters $5.67 /hr. harriet's hair styles $80 for 15 hours weekly. babysitting
1 answer:
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Answer:
See attached graph
Step-by-step explanation:
The graph of distance from home as a function of time starts at the origin of coordinates (0,0) since at time zero minutes Varun is at home.
Then we represent his driving at constant speed (although it has not been specified in the problem) as a line with positive slope equal to his speed, that goes on for the first five minutes. After that, he reaches the traffic light that keeps him at the same distance from home for three minutes (notice the line representing the distance covered is flat from minute 5 to minute 8, while he is not moving).
Then he starts moving again (we assume at the same speed as before - so the line representing his position is again a line with positive slope and with the SAME inclination as that which represents the first 5 minutes of his trip.
The line ends at minute 15 which is the time it took him to get to work.
If you think about how 5 exponentially grows when you make the exponent larger, it gets easier. Since 
is 25, and 
is 125, then 
must equal 625, right? Because 5*5*5*5=625. Hope I made sense!
Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;
From equation [1];
Combine like terms :
Divide both sides by 2 we get;
Simplify:
From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴
Therefore, the measure of each angle is
