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
Answer:
132
Step-by-step explanation:
180-48= 132
Its this bc a straight line is 180 degrees and if you know 48 then its 132+48 which gets 180
Answer:
-1/6
Step-by-step explanation:
-1/2 +(3/4 × 4/9) =
-1/2 + (1/3)
-1/6
When you have an expression to the power of (1/2) that means the same thing as having a square root.
Lets call a=x
To get rid of the square root we square both sides getting:
2x^2+5x+2= 3^2
Simplifying this we get: 2x^2+5x+2=9
We can subtract 9 from both sides getting: 2x^2+5x-7
Now when we solve for this we can use the quadratic formula:
(-b +/- sqrt(b^2-4ac)) / 2a
a=2 , b=5 , c=-7
Plugging in we end up with : (-5 +/- sqrt(81)) /4
This simplifies to : (-5 +/- 9) / 4 ..... (-5+ (-9))/4 OR (-5-(-9))/4
we have x= -14/4 , 1
The series is an geometric series, terms are generated by multiplying x.
