1) Cancel out the common factor which in this case is 8 
2)First apply exponent rule 
now cancel out the common factors which are n and n+7 leaving you with 
3)Factorize 
cancel out the common factor in this case x+2 leaving you with 
4) Factorize 
cancel out the common factor in this case 3w-1 leaving you with 
5) In the picture
6)In the picture
I am REALLY tired sorry I wont be able to do the rest, I hope these are helpful :)
Answer:
hi :):):):):):):):) don't ignore me T_T
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
The sum of interior angles in a triangle must be equal to 180 degrees
so
solve for x
Answer:
6√2
Step-by-step explanation:
Given,
θ = 45
Opposite side = 6
To find : - Hypotenuse
Formula : -
sin θ = Opposite side / Hypotenuse
[ The value of sin 45 = 1 / √2 ]
sin 45 = 6 / Hypotenuse
1 / √2 = 6 / Hypotenuse
Cross multiply,
Hypotenuse = 6√2
Answer:
∠ EFG = 83°, ∠ GCE = 97°
Step-by-step explanation:
Since FE and FG are tangents to the circle then
∠ FGC and ∠ FEC are right angles
The sum of the angles in quadrilateral CEFG = 360°
Sum the 4 angles and equate to 360
3x + 11 + 90 + 5x - 23 + 90 = 360, that is
8x + 168 = 360 ( subtract 168 from both sides )
8x = 192 ( divide both sides by 8 )
x = 24
Thus
∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°
∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°
