Let 's' be the allowed speed.
If the maximum speed is 70 and the minimum is 40, we know 's' is between these two values inclusively, i.e. 40 ≤ s ≤ 70
*Remember for inequality symbols, whether strict or inclusive, the term on narrow side is "less than" the term on the broad side
Answer:
m∠BXC = 70°.
We start out with m∠XBC. It is 55°, because it is a corresponding angle with ∠AXY.
Since ∠XBC and ∠XCB are the base angles of an isosceles triangle, they are congruent. This means that m∠XCB = 55°.
To find the measure of ∠BXC, we find the sum of the two base angles in the isosceles triangle and subtract it from 180:
180-(55+55) = 180-110 = 70°
Step-by-step explanation:
Answer:
4k+ 23
Step-by-step explanation:
Answer:
−π
----
4
Step-by-step explanation:
Alright, archtan /
tan
−
1
(
x
)
is the inverse of tangent. Tan is
sin
cos
. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.
Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.
Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.
Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.
Answer:
x = 2
Step-by-step explanation:
3(x+4)=18
3x + 12 = 18
3x = 6
x = 2
