Answer:
See below
Step-by-step explanation:

Answer:
x=40 degrees
Step-by-step explanation:
there is 180 degrees in half a circle,and 180-100=80
and because there are 2 x values on either side you divide that 80 by 2 which gives you 40.
Answer:
The value of SecФ is
.
Step-by-step explanation:
Given as for trigonometric function :
tan²Ф = 
Or, tanФ = 
∵ tanФ = 
So,
= 
So, Hypotenuse² = perpendicular² + base²
or, Hypotenuse² = (
)² + (
)²
Or, Hypotenuse² = 3 + 8 = 11
Or, Hypotenuse = (
)
Now SecФ = 
or, SecФ =
= 
<u>Second Method</u>
Sec²Ф - tan²Ф = 1
Or, Sec²Ф = 1 + tan²Ф
or, Sec²Ф = 1 + 
Or, Sec²Ф = 
Or, SecФ = 
Hence The value of SecФ is
. Answer
Answer:
x = 17
Step-by-step explanation:
Line l and m are two parallel lines cut across by the transversal line, therefore, the angle measuring 53° and (8x - 9)° are interior angles on the same side. Interior angles on the same side are supplementary.
Therefore:
53° + (8x - 9)° = 180°
Solve for x
53 + 8x - 9 = 180
Collect like terms
53 - 9 + 8x = 180
44 + 8x = 180
Subtract 44 from both sides
44 + 8x - 44 = 180 - 44
8x = 136
Divide both sides by 8
8x/8 = 136/8
x = 17