We have a line tangent to the circle with center B at point C. We know that the angle formed between the tangent line at the point of intersection to the line extended from that point to the center of the circle is equal to 90°. In the problem, the 90° is for ∠BCA. We also know that the summation of all angles in a triangle is 180°. We have the solution below for the ∠BAC
180°=∠BAC + ∠BCA + ∠ABC
180°=∠BAC + 90° + 40°
∠BAC =50°
The answer is 50°.
Suzie needs enough trim to cover the perimeter of the triangle. So she need enough to cover each side of 18. Thus 18 x 3 = 54 and 54 is your answer.
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(p.s. I just saw your profile and most of the questions include pictures, on my end, it says that these pics are blocked. So, try asking the question without having to take a picture, instead, just type the question out. (and include the choices, if there are any))
A sequence is a set of numbers, called terms, arranged in some particular order. An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant.
