Answer:
5
Step-by-step explanation:
If the ratio is truly "common," you can find it from any pair of successive terms:
r = 5/1 = 5
The common ratio is 5.
Answer:
f^-1(x) = (x-1)/-3
Step-by-step explanation:
Invert equation:
Describe X in original function:
multiplied by -3
add 1
Reverse order:
subtract 1
divide by -3
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

Which is really the same as this system

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
Answer:
Equation have Unique solution i.e 
Step-by-step explanation:
Given Equation:

Solving the Equation for 'x'.

Adding '
' both sides:

Adding '42' both sides:


The equation have Unique solution with the value of 
X=105°
Y=105°
Z=105°
let the angle below 75° which is the 4th Street be A
75°+A=180°[being adjacent angle]
A=105°
X=A[Verticall opposite angle]
Z=A[Corresponding angle]
Y=X[alternate angle]