Answer:
<h2>x = 6, y = 42</h2>
Step-by-step explanation:
The diagonal divides both opposite angles into two angles. If ABCD is a parallelogram, then opposite sides are parallel, so we have alternate exterior angles.
Alternate exterior angles are congruent.
Therefore we have the equations:
4x = 24 and y - 10 = 32
4x = 24 <em>divide both sides by 4</em>
4x/4 = 24/4
x = 6
y - 10 = 32 <em>add 10 to both sides</em>
y - 10 + 10 = 32 + 10
y = 42
Answer:
Distance between B and C = 
Step-by-step explanation:
Let the time taken to reach from station A to B be x hr
Let the time taken to reach from station B to C be y hr
Given total time from station A to C be 6 hr
∴ x + y = 6
⇒ y = 6 - x → (1)
Also total distance given is 285 miles
As 
∴ distance travelled between station A and B
=
distance travelled between station B and station C
=
So, 40x + 55y = 285
⇒ 40x + 55(6 -x) = 285 (From 1)
=> 40x + 330 - 55x = 285
=> -15x = 285 - 330
=> -15x = -45 ⇒ x=3
gives y = 6-3 = 3 hours
Distance between B and C = 
Answer:
x = 225.16 feet
Step-by-step explanation:
Given that,
The angle between the piling and the pier is 60°.
A surveyor has set up his transit on one side of the lake 130 feet from a piling that is directly across from a pier on the other side of the lake.
We need to find the distance between the piling and the pier. Let the distance be d. Using the trigonometry to find it as follows :

So, the required distance is 225.16 feet.
16: 10(-9) +4 = -90 +4 = -86
17. 7^2 - 7 = 49-7 = 42
18. -9^2 - -9 = 81+9 = 90
19. 10(5) +4 = 54, 3*54 = 162
20. 3*5 = 15, 10(15) +4 = 154