After 2 that x is equal to 67
Answer:
see explanation
Step-by-step explanation:
Given that z² is directly proportional to w then the equation relating them is
z² = kw ← k is the constant of proportion
To find k use the condition z = 4 when w = 8, thus
4² = 8k
16 = 8k ( divide both sides by 8 )
2 = k
(i)
z² = 2w ← equation of proportion
(ii)
When w = 18, then
z² = 2 × 18 = 36 ( take the square root of both sides )
z =
= 6
(iii)
When z = 5 , then
5² = 2w
25 = 2w ( divide both sides by 2 )
w = 12.5
An integral number is just a whole number. Consecutive means they are neighbouring in the number line(e.g. 2,3,4). Let the smallest number be x:
x + (x+1) + (x+2) = 3x + 3 = 117
3x = 114
x = 38
Hence the numbers are 38, 39, 40
Answer:
shape V -----> 90° counterclockwise
shape II ------> 90° clockwise
shape III -----> translation
shape IV -----> 180° rotation
Answer:
a
Step-by-step explanation:
a