Answer:
x =39°
the total interior angles of a triangle is 180°
let the unknown angle be x,
solve:
x + 39 + 102 = 180°
x = 180° - 39° - 102°
x = 39°
Therefore the unknown angle is 39°
Answer:
The minimum sample size is n = 75 so that the desired margin of error is 5 or less.
Step-by-step explanation:
We are given the following in the question:
Population variance = 484
Standard deviation =
Confidence level = 0.95
Significance level = 0.05
Margin of error = 5
Formula:
Margin of error =
Putting values, we get
Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.
Answer:
The 12000 City would become 22,986 people, while the 230,000 city would become a population of 124,223.
Step-by-step explanation:
1st Part:
=12000⋅(0.026000000000000002⋅25)
=12000(2.718281828459045)(0.65)
=22986
2nd Part:
=230000⋅(−0.044000000000000004⋅14)
=230000(2.718281828459045)(−0.616)
=124223
Answer:
a.the length of midsegment of an equilateral triangle with side lengths of 12.5 cm.=12.5/2=6.25cm
b.
sinceUT is the perpendicular bisector of line segment AB, where T is on AB, find the length of AT given AT = 3x + 6 and TB = 42 - x.
than AT=BT
3x+6=42-x
3x+x=42-6
x=36/4=9
AT=3×9+6=27+6=33
c.
since angle EFG has angle bisector FH, where EF = GF, find the value of y if EH = 5y + 10 and HG = 28 - y.
EH=GH
5y+10=28-y
6y=28-10
y=18/6=3
