Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction 
. Notice however that is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.
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The angle A=180-37=143 degrees
and the angle B is equal to the angle A because l and m are parallel line then B=143 degrees
angles C and D are equal to A and B too, then C=D=143 degrees
angles G, E and F are equal to the given angle because they are opposite by the vertex and alternal internal, then G=E=F=37 degrees
Answer:
Step-by-step explanation:
The circumcenter of a triangle is the point that has same distance from the three vertices of the triangle.
The snake exhibit is in the circumcenter of the triangle.
Answer: the total number of entries at the fair is 350
Step-by-step explanation:
Let x represent the number of entries that were there at the fair.
At a county fair, 50% of the entries are livestock. This means that the number of livestock at the fair was
50/100 × x = 0.5x
Of those entries, 80% are sold at the auction. This means that the number of entries that were sold at the auction is
80/100 × 0.5x = 0.4x
If 140 entries of livestock are sold at the auction, it means that
0.4x = 140
x = 140/0.4
x = 350
Answer:
- Kyle, 67 mph
- Cooper, 62 mph
Step-by-step explanation:
Their difference in distance is 87.1 -80.6 = 6.5 miles. Since their difference in speed is 5 mph, it took them (6.5 mi)/(5 mi/h) = 1.3 hours to achieve that separation.
Kyle's speed is 87.1 mi/(1.3 h) = 67 mi/h.
Cooper's speed is 80.6 mi/(1.3 h) = 62 mi/h. (5 mi/h slower)
Kyle is driving 67 mph; Cooper is driving 62 mph.
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<em>Alternate solution</em>
The ratio of their speeds is 87.1/80.6 = 67/62. The difference in ratio units happens to equal their difference in miles per hour, so their speeds must be 67 and 62 miles per hour.
