Two ways:
Step-by-step explanation:
1. First way. Using the trig unit circle.
tan (pi - x) = - tan x
2. Second way. Apply the identity:
tan(a-b)=tan a- tan b/ 1 - tan a×tan b
tan (π - x)= tan π - tanx/1 - tan(π)×tanx
Since tan (pi) = 0, therefor:
tan(π−x)=−tanx
Answer:
Step-by-step explanation:
What I can see from this are many things. First of all, the girls achieved a higher score than the boys since the girls got a higher mean then the boys. This means that if we were to take the average score of each gender, the girls got a higher score. To find the average/mean you need to find the sum of the data set then divide it with the number of data entries. The boys had a smaller range than the girls, which means that the scores the boys achieved were closer than the girls. The higher the range the more likely your data is scattered. The lower your range, the more likely your data is contained of similar numbers. You figure out the range but subtracting your highest data point from your lowest data point.
Here is your answer
REASON :
AB//CD
So,
/_A=/_D ... (alternate int. angles)
/_B=/_C ... (alt. int. angles)
So,
Tri.ABE~Tri.DCE... (by AA similarity)
Therefore,
Corresponding sides are proportional
i.e.
HOPE IT IS USEFUL
Answer:
Step-by-step explanation:
x=20
Reorder the terms:
(2 + 5x) = 3(x + 14)
Remove parenthesis around (2 + 5x)
2 + 5x = 3(x + 14)
Reorder the terms:
2 + 5x = 3(14 + x)
2 + 5x = (14 * 3 + x * 3)
2 + 5x = (42 + 3x)
Solving
2 + 5x = 42 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
2 + 5x + -3x = 42 + 3x + -3x
Combine like terms: 5x + -3x = 2x
2 + 2x = 42 + 3x + -3x
Combine like terms: 3x + -3x = 0
2 + 2x = 42 + 0
2 + 2x = 42
Add '-2' to each side of the equation.
2 + -2 + 2x = 42 + -2
Combine like terms: 2 + -2 = 0
0 + 2x = 42 + -2
2x = 42 + -2
Combine like terms: 42 + -2 = 40
2x = 40
Divide each side by '2'.
x = 20
Simplifying
x = 20
