No not always the degrees maybe
i hope this helps
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
Answer:
x = 52 i hope this helps! :)
Step-by-step explanation:
so first you gotta realize that every triangle has an interior angle measurement sum of 180 degrees
so we are given 3 angles 74 degrees x + 2 and x
we now are going to put this into an equation 74 + x + 2 + x = 180
now lets combine like terms to get 76 + 2x = 180
then we are going to subtract the 76 from both sides 2x = 104
now lets divide both sides by 2 x = 52
so x = 52
we can plug in the value of x into both of the other equations to find the angle measurement
52 degrees
52 + 2 = 54 degrees
and then we have 74 degrees
add the 52, 54, and the 74 to make sure it is equal to 180 degrees
106 + 74 = 180
so yes, x does indeed equal 52 degrees
Answer:
Length of JK is 68.27 units.
Step-by-step explanation:
By applying geometric mean theorem (leg theorem) in the triangle attached,
(KL)² = (KM)(JK)
(32)² = (15)(x)
x =
x = 68.2666
x ≈ 68.27
Therefore, length of JK is 68.27 units.
Answer:
ANGLE 1 = 40°
Step-by-step explanation:
angle 1 = angle 2 ------(alternate interior angles)
2x + 20 = 3x + 10
20 - 10 = 3x - 2x
x = 10.
Angle 1 = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°.
HOPE IT HELPS!!!