Step-by-step explanation:
tan(Θ + 30°)
Use angle sum formula:
tan(A + B) = (tan A + tan B) / (1 − tan A tan B)
So we can write this as:
(tan Θ + tan 30°) / (1 − tan Θ tan 30°)
tan 30° = 1/√3, so:
(tan Θ + 1/√3) / (1 − 1/√3 tan Θ)
Multiply top and bottom by √3:
(√3 tan Θ + 1) / (√3 − tan Θ)
Answer:
c
Step-by-step explanation:
Answer:
see below for a graph
Step-by-step explanation:
It is convenient to use a point-slope form of the equation of a line for graphing, since we know the slope is -12 m/min and the point is (30, 0) at sea level.
The horizontal axis is minutes; the vertical axis is meters above sea level. The graph cannot extend below -413 meters from sea level, as that is the lowest place on earth.
We’re told that QR and RS are equal, so this is an isosceles triangle.
Meaning the two base angles must also be equal
Using this information, we know that the third angle must be 180 - (22 + 22), since the angles in a triangle add up to 180
Answer:
X= 17.5
Step-by-step explanation:
the outside of the triangle always = 180
so you need to add up all the sides and equal to 180
5x+35+x+5+2x=180
add like terms
8x+40=180
get the x alone
x=17.5