9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
function notation is the way a function is written. It is meant to be a precise way of giving information about the function without a rather lengthy written explanation.
4 divided by five then times six equals 4.8
We set up a proportion to do this. There are 100 cm in 1 meter to we use this:
700 cm ( 1 m / 100 cm )
The cm's will cancel each other out since there is one in both the numerator and the denominator.
This leaves you with:
700 / 100 = 7.
The only units left when the centimeters cancel out is meters.
So there are 7 meters in 700 centimeters.