Answer:
The measure of the angles are 40 degrees and 50 degrees
Step-by-step explanation:
Let
x ----> the measure of one angle in degrees
y ----> the measure of the complementary angle in degrees
we know that
If two angles are complementary, then their sum is equal to 90 degrees
so
----> equation A
we have that
----> equation B
Substitute equation B in equation A and solve for y

Find the value of x

therefore
The measure of the angles are 40 degrees and 50 degrees
Answer:
the twins will always have the same age
Step-by-step explanation:
the equation for jasmine's age is 2(3x+6), while the equation for james's age is 3(2x+4)
2(3x+6) = 2*3x + 2*6 = 6x + 12
3(2x+4) = 3*2x + 3*4 = 6x + 12
since both have the same equation, both will be the same age when you plug in the same x value
Answer:
a) Not parallel to y-axis
b) Not parallel to y-axis
c) Parallel to y-axis
Step-by-step explanation:
The best way to check whether a line passing through two points is parlle to y-axis is by plotting them on graph.
The equation of line: 
a) The line joining the points (4,12) and ( 6,12) is not parallel to y-axis.
It is parallel to x-axis. Another two points that can lie on this line are : (5,12) and (
,12).
b) The line joining the points
is not parallel to y-axis.
Equation of line: 
Another points that could be lie on this line are (0.6,2) and (0.25,1.475)
c) The line joining the points
is parallel to y-axis because points have the same x-coordinate.
Another points that could be lie on this line are (0.8,2) and (0.8,2.1)
The dimensions of the rectangle given are
length = 14 meters
Width = 8 meters
The perimeter of the rectangle is given by the sum of its sides
The rectangle has to opposite sides of 14 meters and two opposite sides of 8 meters
Hence adding up the 4 sides we get

Hence option B is the right answer