Answer:





Step-by-step explanation:
Solving (a):
7x - 19 and 3x + 14 are interior angles.
So:

Collect like terms



7x - 19 and 5y - 2 are equal angles --- corresponding angles
So:

Make 5y the subject

5y = 7x -17
Make y the subject

Substitute 



Solving (b):
The triangle is right-angled.
So:

Collect Like Terms



Answer: it is NOT proportional
Step-by-step explanation: it doesn’t stick to 1 number going up if that makes sense, it’s adding 1 each time it goes up but it has to stick to one number going up making this NOT proportional
For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

Thus, the perimeter of the figure is 64 centimeters.
Now, we find the area of the figure:
We have that by definition, the area of a rectangle is given by:

Where:
a and b are the sides of the rectangle
We have 4 vertical rectangles from left to right:

Thus, the total area is
Answer:
The perimeter of the figure is 64 centimeters.

Answer:
It will take about 35.439 years to triple.
Step-by-step explanation:
Recall the formula for continuously compounded interest:

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).
Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

Now,in order to solve for "t" (which is in the exponent, we use logarithms:
