Answer:171 and 172
Step-by-step explanation;
171+172=343
Answer/Step-by-step explanation:
5. ✔️Exterior angle = angle outside the triangle = W
✔️Remote interior angle of the triangle to the exterior angle W = opposite angles to angle W which are X and Y
✔️m<X + m<Y = m<W (exterior angle theorem of a triangle)
✔️m<W + m<Z = 180° (linear pair/angles on a straight line)
6. m<6 = 115°
m<5 = 120°
✔️m<2 = 180° - m<5° (linear pair/angles on a straight line)
m<2 = 180° - 120°
m<2 = 60°
✔️m<3 = 180° - m<6° (linear pair/angles on a straight line)
m<3 = 180° - 115°
m<3 = 65°
✔️m<1 = 180° - (m<2 + m<3) (sum of triangle theorem)
m<1 = 180° - (60° + 65°)
m<1 = 55°
✔️m<4 = 180° - m<1 (linear pair/angles on a straight line)
m<4 = 180° - 55°
m<4 = 125°
To find the number of soccer balls that would be needed to cover the distance to the goal, you will need to find the diameter of the soccer ball.
To find the diameter use be formula for circumference to solve for the diameter.
C = pi x d
28 = 3.14 x d
d = 8.9 inches
The distance to cover is 24 feet, so convert to inches and divide by 8.9 inches.
24 x 12 = 288 inches
288/8.9 = 32.4 balls
You will need about 32 soccer balls to cover the distance.
First you substitute 18 into c and solve what's inside the paranthesis which is 56. Distribute the 2 to 56 and you should be getting 112 as your answer. 2x(74-c)=112 if c=18.