let's firstly convert the mixed fractions to improper fractions and then add them up.
![\bf \stackrel{mixed}{36\frac{4}{9}}\implies \cfrac{36\cdot 9+4}{9}\implies \stackrel{improper}{\cfrac{329}{9}} \\\\\\ \stackrel{mixed}{10\frac{2}{9}}\implies \cfrac{10\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{92}{9}}~\hfill \stackrel{mixed}{18\frac{2}{9}}\implies \cfrac{18\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{164}{9}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B36%5Cfrac%7B4%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B36%5Ccdot%209%2B4%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B329%7D%7B9%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bmixed%7D%7B10%5Cfrac%7B2%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B10%5Ccdot%209%2B2%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B92%7D%7B9%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B18%5Cfrac%7B2%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B18%5Ccdot%209%2B2%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B164%7D%7B9%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
From calculations, we can say that the given tiles will not fit together perfectly.
<h3>How to find the sum of interior angles of a Polygon?</h3>
If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.
Expression for the measure of the interior angle of a polygon,
Interior angle of a polygon = [(n - 2) * 180]/n
Interior angle of a pentagon = [(5 - 2) * 180]/5 = 108°
Interior angle of a hexagon = [(6 - 2) * 180]/6 = 120°
Interior angle of an octagon = [(8 - 2) * 180]/8 = 135°
To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°
Sum of all interior angles = 108° + 120° + 135° = 363°
Therefore, given tiles will not fit together perfectly.
Read more about Interior angles of a Polygon at; brainly.com/question/224658
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9514 1404 393
Answer:
0
Step-by-step explanation:
The slope can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4 -4)/(-9-3) = 0/-12 = 0
The slope of the line is zero. It is a horizontal line (y=4).
Answer:
Jose traveled 52.5 miles in 1 hour
Step-by-step explanation:
What we're actually doing here is finding the "unit rate": the speed in mph:
35 mi 105 mi
------------ = ------------ = 52.5 mph = 52.5 miles in 1 hour
2/3 hr 2 hr
Jose traveled 52.5 miles in 1 hour
Answer:
A) Cross-sectional
Step-by-step explanation:
A cross-sectional study is a type of study that involves the data i.e. taken from a population for a specific time period.
Here study shows the peoples interest in variables that are be chosen
In the given situation, since a town obtains a data of the current employment for 10,000 of its total citizens
So this represents the cross-sectional
hence, the correct option is A.
Cross-sectional
