Answer:
A=84°
B=28°
C=68°
Step-by-step explanation:
We know the following:
A=3B --> "angle A is three times as large as angle B"
A=C+16 --> "and also 16 degrees larger than angle C"
We can find ∠C by subtracting 16 from both sides from the above statement:
C=A-16
We know that in a triangle there are 180°, therefore we can write the following equation.
A+B+C=180°
1) Substitute 3B as A in the above equation:
3B+B+C=180°
2) Substitute A-16 as C in the above equation:
3B+B+A-16=180°
3) Substitute 3B as A in the above equation:
3B+B+3B-16=180°
4) Combine alike terms:
7B-16=180
5) Add 16 to both sides:
7B=196
6) Divide both sides by 7:
B=28°
Now, lets plug in 28° as B in the first equation we deduced:
A=3B --> A=3(28)
A=84°
Now, lets plug in 84° as A in the second equation we deduced:
A=C+16 --> 84=C+16
C=68°
Answer:
GJK
Step-by-step explanation:
An inscribed angle is an angle formed by two line segments in a circle that intersect on the circle. The line segments must touch the circle at two points The angle must be on the circle itself.
GIH is not inscribed because I is in the center of the circle not on the circle
GJK is an inscribed angle GJ and JK touch the circle at two point and are inside the circle.
IGJ IG does not touch the circle at two points
JKL KL is outside the circle
She can serve 6 WHOLE pies at each party
Carlos is 3 feet tall
12 times 3=36
