Step-by-step explanation:
5x−4=5
1 Add 44 to both sides.
5x=5+4
5x=5+4
2 Simplify 5+45+4 to 99.
5x=9
5x=9
3 Divide both sides by 55.
x=\frac{9}{5}
x=
5
9
5x-1= 26
5x-1+1= 26+1
5x= 27
Divide by 5 for 5x and 27
5x/5= 27/5
x= 27/5
Answer is x= 27/5 - A)
Answer:
180
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees.
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
