Answer:
$150
Step-by-step explanation:
discount=60%
let the price=x
(100-60)% of x=$60
40% of x=60
x=60×(100/40)=150
Answer:
p = 72
q = 18
Step-by-step explanation:
Complementary means they add to 90o
p + q = 90
p = 4*q
Substitute 4q for p
4q + q = 90 Combine
5q = 90 Divide by 5
5q/5 =90/5
q = 18
p = 4q
p = 4*18
p = 72
∠ABX is an inscribed angle.
The measure of an inscribed angle is half the measure of the intercepted arc ⇒
arc AX = 2*∠ABX = 2 * 64 = 128°
The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the <span>intercepted arcs </span>⇒
∠ACB = (arc AB - arc AX)/2 = (152 - 128)/2 = 24/2 = 12°
Recall your SOH CAH TOA, or

now, bear in mind that, the opposite side, to an angle, is the side right "in front of it", that is, if you were to put your eye on that angle, "the wall" you'd see on the other end, is the opposite side
the adjacent side, adjacent = next to, is the side that's touching the angle itself
and the hypotenuse, is always the slanted and longest side of all three
for example on 16, tangent of Z
if you put one eye on Z, you'll see on the other end, the side of 30 units
the adjacent side is the one touching Z, or the 40 units side

and you'd do all others, the same way, using those ratios
use