Complete the two column proof Given: 22= 24,m_2 = 110°
1 answer:
Step-by-step explanation:
I took 3 indicated as 5 and its adjacent angle to be 3
<2 = <4
As <2 =<3( corresponding angle)
And <3 = <4 ( Vertically opp.angle)
hence <2 = <4
<2 =>110
so , <4 = 110
So, <4 =>110
As <4 and <5 form linear pair
So <4 + <5 =>180
<5 = 180 -110 =>70
As i took <5 as replacing angle to <3
So According to Question fig
<3 =>70
Hence proved
You might be interested in
Answer:
see explanation
Step-by-step explanation:
A fraction is in simplest form when no other factor but 1 will divide into the numerator/ denominator
(1)
← is in simplest form
(2)
← is in simplest form
(3)
( divide numerator/ denominator by 2 )
= ← in simplest form
Answer:
Step-by-step explanation:
First we figure out how fast Nina can run. If Nina can run 8 km in 55 minutes, then her rate is
and we can use that in a d = rt table:
d = r * t
Nina .145
Jo
Now we can fill in the distance which is 6 for both, since that is the distance where they met:
d = r * t
Nina 6 = .145
Jo 6 =
Now we go to the info given about the time. If Jo started the race 3 minutes after Nina, that means that Nina is running 3 minutes longer than Jo. Filling in the time info:
d = r * t
Nina 6 = .145 * t + 3
Jo 6 = r * t
As you can see, right now we have 2 unknowns in Jo's row. But we don't have to! We will go to Nina's row where the only unknown is time and solve for t. If d = rt, then
6 = .145(t + 3) and
6 = .145t + .435 and
5.55 = .145t so
t = 38.379 minutes. This means that Jo was running 38.379 minutes when she caught up to Nina (it took Nina 3 minutes longer than that to go 6 km since she was already running for 3 minutes when Jo started the race). If Jo's time is 38.379, we can use that in her row for t and solve for r. If d = rt, then
6 = r(38.379) and
r = .16 km/min
Let's check it without the rounding (rounding takes away from the accuracy). If 6 = .145(t + 3) and Nina's rate not rounded is .145454545 and t = 38.37931034, then, rewriting without rounding:
6 should equal .145454545( 38.37931034 + 3)
6 ?=? .145454545(41.37931034)
6 ?=? 6.0 so
Jo's rate is .16 km/min rounded