Answer: GEF = 30 DEF = 40
Step-by-step explanation: By angle summation we know the entire angle
GED = 70, so the smaller angles that make up GED (GEF and DEF) will have to sum up to equal GED. Using this we get:
2x + 10 + 5x - 10 = 70
From here we can combine like terms:
7x = 70
and solve for x
x = 10
Then we can plug the value of x back into the equations given to solve for GEF and DEF
GEF:
2x+10 == 2(10)+10 = 30
DEF:
5x-10 == 5(10)-10 = 40
The slope is m=3 hope this helps!!
Answer:
11 pieces
Step-by-step explanation:
The greatest common divisor of 40 and 70 is 10. If each ribbon is cut into 10 cm pieces, there will be 4 pieces from the first ribbon, and 7 pieces from the second ribbon. The total number of pieces will be ...
4 + 7 = 11 pieces
Its the last choice there. Converting that to degrees you get the interval of 90<O<120, which is the only angle that lies in the quadrant in which cosine is negative, which is the second quadrant. Cosine is also negative in the third quadrant, but you don't have choices for the third quadrant.
Answer:
margine of error =
0.13
Step-by-step explanation:
given data
sample proportion = 0.44
simulation trials = 100
sample size = 100
point estimate = 0.44
minimum sample proportion = 0.32
maximum sample proportion = 0.50
solution
we will get here first z score that is express as
............1
here x = 0.32and 0.50

so z will be

so now we get here margin of error that is express as
margin of error =
................2
we use here z heighervalue
margin of error = 
margine of error =
0.13