AB = BC, so 3x-2 = 2x+4. Also, BC = CA, so 2x+4=x+10.
Solve this system of linear equations:
3x-2 = 2x+4
2x+4=x+10 => x=6
Check: Does AB=BC? Does AB=BC?
Does 3(6)-2 = 2(6)+4? Does 16=16? YES.
Does BC = CA? Does 2(6)+4 = 6+10? YES
x = 6 (answer)
Answer:
x = -1.25
Step-by-step explanation:
2.25x + 5 = 13.5x + 14
subtract five from both sides
2.25x = 13.5x + 9
subtract 13.5x from both sides
-11.25x = 9
swap the negative
11.25x = -9
divide 11.25 from both sides
x = -1.25
M<KPN = 1/2(90+50) = 140/2=70
answer D. 70 (last choice)
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 3, y = 18 , then
18 = 3k ( divide both sides by 3 )
6 = k
y = 6x ← equation of proportion
(b)
(i)
when x = 12 , then
y = 6 × 12 = 72
(ii)
when y = 42
42 = 6x ( divide both sides by 6 )
7 = x
