Straight line: supplementary
Supplementary is sum of 180 degrees
x + 96 + 5x = 180 degrees
6x + 96 = 180
6x = 84, x = 14
Solution: x = 14
Answer: 29/4
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Let's solve your equation step-by-step.
−(3v+1)+7(6v+6)=−37
Step 1: Simplify both sides of the equation.
−(3v+1)+7(6v+6)=−37
−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)
−3v+−1+42v+42=−37
(−3v+42v)+(−1+42)=−37(Combine Like Terms)
39v+41=−37
39v+41=−37
Step 2: Subtract 41 from both sides.
39v+41−41=−37−41
39v=−78
Step 3: Divide both sides by 39.
39v
39
=
−78
39
v=−2
Answer:
v=−2
The x coordinate of S will be 1/2 * 2a = a.
and since the half triangle is 30-60-90 the y coordinate will be sqrt3 a
so S is (a , sqrt3a)
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
