Answer: B. |x-100| = 25
Explanation:
Draw out a number line. Mark 75, 100 and 125 on the number line as points A, B, and C in that order. Don't worry about the spacing.
The value of x represents where the train is. So if we had say x = 85, then it would be at location 85 on the number line. Writing |x-100| is the distance from x to 100. The absolute value ensures the distance is never negative. We want this distance to be 25 because after traveling 25 cm, the switch is turned, and the train goes the other way.
Given:
x lies in the III quadrant.
To find:
The values of 
.
Solution:
It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.
We know that,
x lies in the III quadrant. So,
Now,
And,
We know that,
Therefore, the required values are 
.
Answer:
Ordered pairs are (0,7) , (1,8) , (-1,6) and (-7,0)
Step-by-step explanation:
Answer:
x = 60
Step-by-step explanation:
Recall: one of the properties of a parallelogram is that consecutive angles are supplementary. This means they add up to given 180°
2x and x are consecutive angles. Therefore:
2x + x = 180
3x = 180
Divide both sides by 3
3x/3 = 180/3
x = 60
Answer:
∠ DFE = 15°
Step-by-step explanation:
The inscribed angle DFE is half the measure of its intercepted arc, that is
∠ DFE = 
DE = × 30° = 15°
