Refer to the diagram shown below.
Because ΔABC is isosceles and AB = AC, therefore
m∠C = m∠B = (3x + 5)°
The sum of angles in a triangle is 180°, therefore
2(3x + 5) + 2x - 20 = 180
6x + 10 + 2x - 20 = 180
8x - 10 = 180
8x = 190
x = 23.75°
Therefore
m∠C = 3x + 5 = 3(23.75) + 5 = 76.25°
Answer: 76.25°
T=time
d=st
r=train speed
p=plane speed
<span>160=rt
</span><span>720=pt
speed of plan is 20kmph less than 5 times speed of train
p=5r-20
we notice that 160 times 4.5=720
times first equaton by 4.5
720=4.5rt
720=pt
set equal
4.5rt=pt
divide both sides by t
4.5r=p
sub </span><span>p=5r-20 for p
4.5r=5r-20
minus 4.5r from both sides
0=0.5r-20
add 20 to both sides
20=0.5r
times 2 both sides
40=r
sub back</span><span>
p=5r-20
p=5(40)-20
p=200-20
p=180
plane is 180kmph
train is 40kmph
</span>
Answer: pi
Step-by-step explanation:
Formula for circumference = 2 x pi x radius
Formula for diameter = 2 x radius
Plug in 6.25 for radius
Circumference = 2 x pi x 6.25
Diameter = 2 x 6.25
Find ratio by diving Circumference over Diameter:
(2 x pi x 6.25) / (2 x 6.25)
Simplify: answer is pi
could also be 3.14
Answer:
1
Step-by-step explanation:
Answer:
uh 2 :)
Step-by-step explanation: