Answer:
x = 50
Step-by-step explanation:
Since MNP is a tangent to the circle at N, then
∠ ONP = 90° , so
∠ ONL = 90° - 55° = 35°
OL = ON ( both radii of the circle )
Thus Δ ONL is isosceles and the base angles are congruent
∠ OLN = ∠ ONL = 35°
JKLN is a cyclic quadrilateral whose opposite angles are supplementary, that is
∠KJN + ∠ KLN = 180 , substitute values
95 + 35 + x = 180
130 + x = 180 ( subtract 130 from both sides )
x = 50
Answer:
$150.00
Step-by-step explanation:
Find the total from each person (0.10*50 miles = 5.00)
multiply each persons total (5.00*30 people = 150.00
Imagine you're on the first train. since you're moving away from second train at 70mph, and that train is moving away from you at 80mph, in total that other train for you is moving away at 150mph (as you are stationary inside the train).
if the two trains are moving apart at 150mph, then to be 600 miles apart it will take 600/150 hours, which you can calculate :)
C. x=-2/3, -4/5 (negative two-thirds, negative four-fifths)
