Answer:x=3
Step-by-step explanation:
Add 4 to both sides and get 3x=5+4
Simplify 5+4 to 9 and get 3x=9
Divide both sides by 3 and get x=9/3
Simplify 9/3 to 3 and get the answer x=3
Answer:
The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.
Step-by-step explanation:
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)
= 0.18310
X = 79.45 degrees.
We can now find another angle using the sine rule:
8.6 / sin 79.45 = 7.5/ sin Y
sin Y = (7.5 * sin 79.45) / 8.6
Y = 59.02 degrees
So the third angle = 180 - 79.45 - 59.02
= 41.53 degrees.
Answer:
Step-by-step explanation:
2n + 8.5 = 23
2n = 14.5
2n = 7.25 or 7 1/4 feet