Answer:
this is only one functions, it means all is correct.
The two angles are verticals angles so they are congruent, so you can solve for x by writing and solving an equation
6x-82=3x-23
Combine like terms
3x=105
And simplify to get x=35
Answer:
x=16/3=5.33.
Step-by-step explanation:
Isolate x on one side of the equation.
2+x3=18
2+x*3=18
2+x*3-2=18-2 (First, subtract 2 from both sides.)
18-2 (Solve.)
18-2=16
x*3=16
x*3/3=16/3 (Then, divide by 3 from both sides.)
16/3=5.33
x=16/3=5.33
In conclusion, the final answer is x=16/3=5.33.
Answer:
a) 388.03
b) 148.49
c) π/8
Step-by-step explanation:
Find the diagram attached
Let the opposite side be y
Given
a) Hypotenuse = 420
theta = 3π/8 rad
theta = 3(180)/8
theta = 67.5degrees
Using the SOH CAH TOA identity
sin theta = opposite/hypotenuse
sin 67.5 = y/420
x = 420sin67.5
x = 420(0.9238)
x = 388.03
Hence the length of the side opposite to the given angle is 388.03
b) Hypotenuse = 420
theta = 3π/8 rad
theta = 3(180)/8
theta = 67.5degrees
Using the SOH CAH TOA identity
cos theta = adjacent/hypotenuse
cos 67.5 = x/420
x = 420cos67.5
x = 420(0.3827)
x = 148.49
Hence the length of the side adjacent to the given angle is 148.49
c) The sum of angle in the triangle is π
Let the measure of the unknown angle be z
z + 3π/8 + π/2 = π
z + 3π+4π/8 = π
z + 7π/8 = π
z = π - 7π/8
z = (8π-7π)/8
z = π/8
Hence the measure of the other acute angle is π/8
A and D because they are both related unlike C and D.