It’s 50 degrees cuz alternate exterior angles
Polygons are similar when they have the same number of sides,
their corresponding angles are equal, and their corresponding
sides are all in the same ratio.
When that ratio is ' 1 ', they are also congruent.
That can happen sometimes, but it doesn't always have to happen.
To find out how much she earned hourly, all we need to do is divide 312 and 39
312 ÷ 39 = 8
Therefore, she was paid $8 per hour
Hope this helps!
Answer:
Sine θ = 5/13
Step-by-step explanation:
From the question given above, the following data were obtained:
Cos θ = 12/13
Sine θ =?
Next, we shall determine the opposite. This can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 12/13
Adjacent = 12
Hypothenus = 13
Opposite =?
Hypothenus² = Opposite² + Adjacent²
13² = Opposite² + 12²
169 = Opposite² + 144
Collect like terms
169 – 144 = Opposite²
25 = Opposite²
Take the square root of both side
Opposite = √25
Opposite = 5
Finally, we shall determine the Sine θ. This can be obtained as follow:
Opposite = 5
Hypothenus = 13
Sine θ =.?
Sine θ = Opposite / Hypothenus
Sine θ = 5/13
Make equal to 0
minus 12from both sides
x^2+10x+13=0
we can't factor so use quadratic formula
x=

x=

x=

x=

x=

x=

x=

or

aprox
x=-1.5359 or -8.4641