Answer:
Step-by-step explanation:
This is the simplest form as 17 is a prime number.
19 is a prime number. so it is the simplest form.
Answer:
27°
Step-by-step explanation:
Angle ABC is 90°
ACB is 63 because it is vertically opposite angle GCJ
Angle CAB is 27° (90-63)
angle x is 27° (vertically opposite CAB)
Answer:
x =4 ±sqrt(5)
Step-by-step explanation:
x2 - 8x + 16 = 5
Complete the square
(x-4)^2 = 5
Take the square root of each side
sqrt((x-4)^2) = ±sqrt(5)
x-4 = ±sqrt(5)
Add 4 to each side
x-4+4 =4 ±sqrt(5)
x =4 ±sqrt(5)
Even integers have the form 2k so three consecutive even integers will be 2k,2(k+1),2(k+2)
so there sum will be
2k+2(k+1)+2(k+2)=24
simplifying
2k+2k+2+2k+4=24
adding like terms
6k+6=24
6k=18
k=3
so the three consecutive even integers are
2(3),2(3+1),2(3+2)
6,8,10
