Answer:
43.8 km to the nearest tenth.
Step-by-step explanation:
5 miles is 8 km
so 1 mile = 8/5 km
and 27.4 miles = 27.4 * 8/5
= 43.84 km
Answer is C. HMG and LMK
see attached picture to explain
Vertical angles are congruent and opposite of each other where two lines cross
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
Answer:
Yes, they are equivalent.
Step-by-step explanation:
9 / 3 = 3
24 / 3 = 8
3:8 is just the simplified version of 9:24. This is due to 9:24 being divided by three, becoming 3:8.
Step-by-step explanation:
vertical angles or line pairs
c=60
180-120=60
180-131=49
60+49=109
180-109=71