Step-by-step explanation:
This is known as the triple tangent identity. Start with the fact that the three angles add up to 0.
(x − y) + (z − x) + (y − z) = 0
Subtract two terms to the other side and take the tangent:
x − y = -((z − x) + (y − z))
tan(x − y) = tan(-((z − x) + (y − z)))
Use reflection property:
tan(x − y) = -tan((z − x) + (y − z))
Now use angle sum identity:
tan(x − y) = -[tan(z − x) + tan(y − z)] / [1 − tan(z − x) tan(y − z)]
tan(x − y) = [tan(z − x) + tan(y − z)] / [tan(z − x) tan(y − z) − 1]
tan(x − y) [tan(z − x) tan(y − z) − 1] = tan(z − x) + tan(y − z)
tan(x − y) tan(z − x) tan(y − z) − tan(x − y) = tan(z − x) + tan(y − z)
tan(x − y) tan(z − x) tan(y − z) = tan(x − y) + tan(z − x) + tan(y − z)
These statistics are impossible: all students who ride bike and use crossing guard ride a bike, so the proportion of students who ride a bike and use the crossing guard must be less than or equal to the proportion of students who ride a bike. This is not true in the given stats; 0.12 > 0.1
The absolute value is always positive:
For example, the absolute value of -5: | - 5 | = 5 and also the absolute value of 5 : | 5 | = 5
P = - 1 1/4
The absolute value of point P.
| P | = | - 1 1/4 | = 1 1/4
Answer:
It standard form is 25000
