Answer:
35.68°
Step-by-step explanation:
In the picture attached, the triangle is shown.
From sine definition:
sin(y) = opposite/hypotenuse
The leg measuring 7 units is opposite to angle y, and the hypotenuse measures 12 units, therefore:
sin(y) = 7/12
y = arcsin(7/12)
y = 35.68°
Rachel and her sister Fran together can paint the living room in hours
Given that
Rachel can paint half of the living room in 1 hour
Fran can paint th part of the living room in 1 hour
Let's assume together they paint the living room in x hours
⇒ together they can paint th part of the living room in 1 hour
By proportions,
⇒+
=
{using operation proportions and addition}
⇒=
⇒x=
⇒ together they can paint th part of the living room in 1 hour
It means, Rachel and her sister Fran together can paint the living room in hours
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SOLUTION
From the question given the following statements to prove are correct, then the last part
The reason is Side-side-side triangle theorem
This theorem states that all three sides of a triangle are congruent (identical) to the corresponding sides of another triangle, then the triangles themselves are also congruent.
Hence the answer is Side-side-side triangle theorem
