3) 180-32= 148°
4) x = 142°
5) 3x+2x = 90°
5x =90°
x= 90/5
x = 18°
6) 180 = 6x + x
180 +2 = 7x
182/7 =x
26° = x
Answer:
Your class period goes out to eat at Red Lobster. The total bill is $63.50. Mrs. Melanie wants to leave a 15% tip.
How much is the total bill?
Step-by-step explanation:
Part a.
An angle bisector divides the angle into two congruent angles.
m<FGH = m<HGI
2x - 4 = 3x - 22
Subtract 2x from both sides. Add 22 to both sides.
18 = x
x = 18
Now that we know x = 18,
m<FGH = 2x - 4 = 2(18) - 4 = 36 - 4 = 32
m<FGH = 32
Part b.
m<HGI = 3x - 22 = 3(18) - 22 = 54 - 22 = 32
m<HGI = 32
Part c.
m<FGI = m<FGH + m<HGI = 32 + 32 = 64
m<FGI = 64
Answer:
b = 60.26
Step-by-step explanation:
To comfortably solve for b, we employ the SINE RULE
SINE RULE:
sinA/a = sinB/b = sinC/c
Where a, b and c are the sides (length) of the triangle
Where A, B , and C are the ANGLES of the triangle.
Comparing angles to resolve for b, we have:
sinA/ a = sinB/b
sin46.7 / 44 = sin85.3 / b
Cross Multiply to solve for b, we have:
b * sin46.7 = 44 * sin85.3
b * 0.728 = 44 * 0.997
b = 43.868 / 0.728
b = 60.258
b = 60.26
