22+24+26+28+30+32+34+36+38+40+42+44= 396
Answer:
1109
Step-by-step explanation:
you can subtract the terms to see the difference between them
-11-(-27)=16
The sequence is increasing by 16
you can plug that 16 in the formula for d
a_n=a_1+(n-1)d
a_n=a_1+(n-1)16
n represents the term you want to find in this case the 72nd
a sub 1 is the first term of the sequence in this case -27
a_72=-27+(72-1)16
a_72=-27+(71)16
a_72=-27+1136
a_72=1109
Sin51=y/12
y=12sin51 units
y≈9.33 units (to nearest hundredth of a unit)
...
tanα=12/5
α=arctan2.4°
α≈67.38° (to nearest hundredth of a degree)
...
tan13=x/24
x=24tan13 units
x≈5.54 units (to nearest hundredth of a unit)
...
sin20=10/x
x=10/sin20 units
x≈29.24 units (to nearest hundredth of a unit)
Answer:
m 1 = 45 degrees because 1 and the angle measuring 135 degrees are supplementary angles.
m 2 = 95 degrees because 2 and the angle measuring 95 degrees are vertical angles.
m 3 = 40 degrees because 1, 2, and 3 form a triangle
Step-by-step explanation: