Alright
s=number of hours headd south
e=number of hours headed east
s+e=8
and
total is 147 miles
distance=speed times time
15s+24e=147
we got 2 equations
s+e=8
15s+24e=147
subsitution
s+e=8
minus e both sides
s=8-e
subsitut 8-e for s in other equaton
15s+24e=147
15(8-e)+24e=147
120-15e+24e=147
120+9e=147
minus 120 both sides
9e=27
divide both isdes by 9
e=3
sub back
s=8-e
s=8-3
s=5
it was headed south 5 miles
∠BCD = 57°
∴ ∠BDR = ∠BCD = 57° (angle that meets the chord and the tangent is equi-angular to the angle at the alternate segment)
Vertical Angles: Theorem and Proof
Theorem: In a pair of intersecting lines the vertically opposite angles are equal. It can be seen that ray \overline{OA} stands on the line \overleftrightarrow{CD} and according to Linear Pair Axiom, if a ray stands on a line, then the adjacent angles form a linear pair of angles.
Answer:
$399.98
Step-by-step explanation:
Given
Mark down percent = 60%
Mark down price = $239.99
Required
Original price of the rack
Let x be the original price of the product. The equation to get x is as expressed below;
60% of x = 239.99
0.6x = 239.99
x = 239.99/0.6
x = 399.98
Hence the rack will ring up for $399.98 at the register