Answer:
Step-by-step explanation:
Opposite (or in The US, vertical) angles are congruent.
Adjacent ( on the same line) angles are supplementary (that is their sum = 180 degrees).
Answer:
the axis labels are inconsistent with the graph title
Step-by-step explanation:
The independent variable is described as "% protein digested", and the dependent variable is described as "time." The graphed values suggest that these are reasonable descriptors for the data being plotted.
The title, however, says the data points are "percentage digestion per hour". This is in disagreement with the axis labels, and is inconsistent with the shape of the curve. (If the title is to be believed, the digestion rate is such that more than 100% of <whatever> has been digested after 10 hours.)
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<em>Additional comment</em>
Another error is the vertical axis is graduated as though it were linear, but it is decidedly non-linear. Equivalent distances on the graph are shown for differences of 10%, 5%, 10% and 25%. That is the scale varies by a factor of 5 from one part of the graph to another.
For number 4, we'll need a few facts to answer our question:
- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°
Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.
Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.
We have:

, or

Solving for x:

So, x = 78°.
For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.
Answer:
The approximate percentage is 25%.
Step-by-step explanation:
The initial population was = 12089 rounded off to 12000.
The final population is = 15025 rounded off to 15000.
Change in population = 
So, the approximate percent increase is =

= 25%.
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