Answer:
Answer in photo
Step-by-step explanation:
Hi there!
When a segment is tangent to a circle, it is perpendicular to the radius. If you're given measurements, like the image below, you can use the pythagorean theorem to determine if the triangle is a right triangle. If the triangle is right, then the segment is tangent to the circle.
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The unit of measurement is not specified, so for the sake of this problem, we'll assume it's radians (If you need it in degrees, I'll be happy to edit).
Find the compliment of 0.25:
Complementary angles add up to 90 degrees. In radians, this would be π/2. If you're unsure how I got this, check degrees to radian conversions.
The compliment of 0.25 would be

(1/4=0.25)


(This is the simplified form in case you're homework needs it in this form)
That's the compliment. In decimal (rounded to the nearest hundredth), this would be 1.32 radians.
Find the supplement of 7π/8:
Supplementary angles add up to 180 degrees. In radians, this would be π.
The supplement would be the following:


Thus, the supplement is π/8 radians. If any of this struck you as confusing, comment and I'd be happy to clarify.
7. If each sister has one brother, it would be one brother total, because they are all related. They don't each have their own brother. So mom+dad+sisters(4)+brother=7 total.
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