7. Straight lines are also = to 180°
If you look at the diagram, when you add the two angles together, they form a straight line.
Since the angles add up to 180°, you can do:
(x + 25)° + (4x + 5)° = 180°
x + 25 + 4x + 5 = 180 Combine like terms
5x + 30 = 180 Subtract 30 on both sides
5x = 150 Divide 5 on both sides
x = 30
Answer:
5/12
Step-by-step explanation:
You want the tangent of angle F in right triangle FGH with sides FG=24, GH=10, and FH=26.
<h3>Tangent</h3>
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and the sides of a right triangle. The TOA part of this tells you ...
Tangent = Opposite/Adjacent
<h3>Application</h3>
The side opposite angle F is GH = 10.
The side adjacent to angle F is FG = 24.
Then the tangent is ...
tan(F) = GH/FG = 10/24
tan(F) = 5/12 . . . . . reduced to lowest terms
Answer:
d
Step-by-step explanation:
