This is actually quite simple. You just have to remember that a triangles angle measures must equal up to 180. Also, you need to recognize which angles are supplementary angles (angles whose measure must add up to 180) That being said, 126 and A are supplementary angles. So are C and 41, and E and 38. To find out A, simply subtract 126 from 180 to get 54. Then, to get C, subtract 41 from 180 to get 139. Since you know A and C, you can figure out B, which is 85. Then, to find E, subtract 138 from 180. That equals 42. Now, simply add up 41 and 42, and shbtract it from 180. That gives you 97, which is D. I hope this helps! :)
Answer:
Growth, with a 9% increase.
Step-by-step explanation:
Exponential patterns are usually defined by some kind of <em>repeated multiplication</em>. In most exponential patterns we start with some <em>initial value</em> (let's call it a) and some <em>multiplier</em> (let's call it b), and a is multiplied by b some number x times. We capture this as a function y with the equation
There are three broad categories for this pattern:
- <em>No growth/decay </em>- The function has an initial value that never changes. In order for the initial value to stay constant, we need
, since multiplication by 1 doesn't change the number it's multiplied by. - <em>Growth</em> - The function grows at some exponential rate; for every increase in x, our initial value will be at <em>least</em> as big as it was for smaller values of x, so
in this case. (Example: A bacteria population starts at size 3 and doubles in size every hour; after x hours, there will be
bacteria) - <em>Decay - </em>The function decays or decreases at some exponential rate; for every increase in x it <em>can't be as large</em> as it was for smaller values of x, so
here. (Example: An Instagram post gets an initial wave of 100 new likes, and every hour it gets half the number of likes as the previous hour, so the number of new likes per hour is
.
In the function
,
, so we have exponential <em>growth</em>, but by what percent? Well, for every step in x, we take 1.09 (109%) of the previous value, so that's a 9% increase.
False, both lines are oblique (diagonal) so they meet at some point on a graph. They can only have no solutions if the lines are parallel/have the same slope.
IOS is better because better camera
Answer:
The graph is attached
Step-by-step explanation:
Th table that shows the quantities of onions consumed (in kilogram) over 5 weeks by a person is as follows: (see the attached file)
Plot the points
on the graph.
(see the attached file)
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