Answer:
Constant rate of change for Jaz height will be 0.5 inch per month
Step-by-step explanation:
Jaz present height is 43 inches.
Eighteen months later her height will be 52 inches.
Now we know rate of change will be represented by the formula
Rate of change of height =
=
= 0.5 inch per month
The constant rate of change for Jaz height will be 0.5 inch per month.
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<h2>Solving for the measurements of Complementary Angles</h2><h3>Answer:</h3>
and 
<h3>Step-by-step explanation:</h3>
Recall that Angles that are supplementary to each other add up to
.
Let
be the measure of the supplementary angle.
If an angle is
more than its supplementary angle, the measure of that angle is
. The sum of both angles are expressed
but since the have to add to
as they are supplementary,
.
Solving for
:

Since the other angle measures
, we can plug in the value of
to find the measure of the angle.
Evaluating
:

The measure of the angles are
and 
Answer:
D
Step-by-step explanation:
Straight line (straight angle) is always 180 degrees.
The angle adjacent to 115 and 115 degree angle would sum up to 180 (straight line).
So, that angle would be:
180 - 115 = 65
Now, we know the triangle's 2 angles: 85 (given) and 65 (found), thus we can find the third angle (leftmost):
85 + 65 + third angle = 180 [sum of 3 angles in a triangle is 180]
150 + third angle = 180
third angle = 180 - 150
third angle = 30
This third angle is adjacent to w and forms a straight line, so we can write:
third angle + w = 180
30 + w = 180
w = 180 - 30
w = 150
Correct answer is D
Answer:
Here is another one solved.
Answer: angle B= 54 degrees, a=6, b=8
Step-by-step explanation:
Add the two angles we have to get 126 degrees. Subtract that from 180 degrees to get 54 degrees.
We don't know enough to say which is which for a and b, but we can know that it is 6 and 8 because of pythagorean triples (3,4,5).