What is the scale factor of the dilation shown?
1 answer:
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Answer:
c = 29
Step-by-step explanation:
Law of sines is given as:
B = 180 - (57 + 44) = 79°
b = 41
C = 44°
c = ?
Thus:
Substitute
Multiply both sides by sin 44
c = 29.0140633 ≈ 29
Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:
Solve for x:
So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):
Solve for x:
So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.