Answer:
xw= 60°
ym=60°
mw=120°
Step-by-step explanation:
Angles on a straight line add up to 180°. Therefore 180-78+42°=60°
Opposite angles are equal. Therefore 60°=60°
Angles in a circle = 360° Therefore 78°+42°+60°+60°+120°=360°
40.2 - 13.7 = 26.5
26.5 / 13.7 * 100 = 193.43
answer
193%
Answer:
≈ 0.9 cm²
Step-by-step explanation:
I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.
F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.
Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,
F(x,2)
(2-3) / (x-1) = -2/3
2x-2 = 3 x = 2.5
*<u>F (2.5 , 2</u>)
G (3,y)
(y-3) / (3-1) = -2/3 y = 5/3
*<u>G (3 , 5/3)</u>
*<u>point I (3 , 2</u>)
segment FI = 3-2.5 = 0.5 = 1/2
segment GI = 2 - 5/3 = 1/3
area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083
area of polygon DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²
Answer:
f(0) = g(0) and
f(2)=g(2)
Step-by-step explanation:
f(x) = g(x) at the points of intersection
f(0) = g(0)=4 and
f(2)=g(2)=0
19.6=100%
Therefore:
19.6----------------------100%
10.78-------------------- x
x=(10.78 * 100%) / 19.6=55%
Answer: 55% of 19.6 is 10.78