Answer:
Angle K
Step-by-step explanation:
Angle Z has the angle marking with one blue curve.
The one blue curve is also found on angle K in triangle NWK.
Therefore, the two angles are congruent, meaning they are the same measure.
Since 
and 
, we can rewrite the right side of the equation as
Using the identity 
, we can subtract 
from either side to obtain the identity 
substituting that into our previous expression, the right side of our equation simply becomes
We can now write our whole equation as
Adding 2 to both sides:
dividing both sides by 3:
When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4
Answer:
A = 30 i hope this helps! :)
Step-by-step explanation:
a straight line is 180 degrees
we are given two angle measurements
measure of angle A = 6x - 18
measure of angle B = 14x + 38
so now we need to combine the equations together and have them equal 180 degrees
6x - 18 + 14x + 38 = 180
combine like terms
first the x values 20x - 18 + 38 = 180
now the regular numbers 20x + 20 = 180
subtract 20 from both sides of the equation 20x = 160
then divide both sides by 20 x = 8
now that we have the value of x, we can plug it into the equation for angle A
lets see the equation for angle A again
A = 6x - 18
plug in the x value to 6x
A = 48 - 18
combine like terms
A = 30
Answer:
£7.3
Step-by-step explanation:
2 x £2=£4
3 x £3 = £6
3 x 90 = 270 = £2.7
£4+£6+£2.7= £12.7
20-12.7=7.3
7 pounds and 3
5.8 × 10⁻¹ = 0.58
7.4 × 10⁰ = 7.4
0.58 - 7.4 = -6.82
so
(5.8 × 10⁻¹) - (7.4 × 10⁰) = -6.82 × 10⁰
