Given that a || b, m∠2 = 63° and m∠9 = 105°.
Now, all the angles are as follows:
m∠5=
m∠2 = 63° [vertically opposite angle]
m∠7=
m∠9=105° [vertically opposite angle]
m∠8=
180°-m∠9=180°-105°=75° [Supplementry angles, m∠8+m∠9=180°]
m∠10=
m∠8=
180° [vertically opposite angle]
m∠6=
m∠8=75° [ Alternate angles]
m∠3=
m∠6=75° [vertically opposite angle]
m∠1=
180°-(m∠2+m∠3)=180°-(63°+75°)=42° [as m∠1+m∠2+m∠3=180°]
m∠4=
m∠1=42° [vertically opposite angle]
m∠11=m∠4=42° [ Alternate angles]
m∠13=
m∠11=42° [vertically opposite angle]
m∠12=
180°-m∠11=180°-42°=138° [as m∠8+m∠9=180°]
m∠14 =
m∠12=138° [vertically opposite angle]
I'm not sure if you used the euro sign accidentally or what but this is how to increase 64 by 70%
divide 64 by 10.
6.40
then multiply it by 7.
44.80
then add 44.8 to your original number. (64)
the answer is:
108.8
If you did put that sign there purposely and if it means something then I don't know if it matters or if this is right.
I believe this should help. :)
Answer:
Patricia's account balance after thirteen years is $867.15.
Step-by-step explanation:
It is given that,
Principal on deposited amount is $612.40
Rate is 3.2%
We need to find Patricia's account balance after thirteen years, t = 13 years
This problem is based on the concept of simple interest. Interest is given by :

Net amount = $612.40 + $254.75=$867.15
Answer:
-3x+6
Step-by-step explanation:
-2x - 1 - x + 7
collect like terms and calculate:
-3x+6