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crismelycalderon1904
21.07.2019 •
Mathematics
Which dimensions can create only one unique triangle? a.three angles measuring 25,65,and 90 b.three angles measuring 50,50,and 50 c.three sides measuring 5 in,12 in,and 14 in d.three sides measuring 4 ft,8 ft,and 14 ft
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Ответ:
Verify each case
case A. Three angles measuring 25,65,and 90
sum of a internal angles=25+65+90> 180° is ok
That dimensions can create infinity similar triangles
case B. Three angles measuring 50,50,and 50
sum of a internal angles=50+50+50> 150° is not a triangle
therefore
That dimensions cannot create a triangle
case C. Three sides measuring 5 in,12 in,and 14 in
Applying the Triangle Inequality Theorem
5+12>14 -- > is ok
14+5>12 --- > is ok
12+14>5 --- > is ok
That dimensions can create only one unique triangle
case D. Three sides measuring 4 ft,8 ft, and 14 ft
Applying the Triangle Inequality Theorem
4+8>14 -- > is not true
therefore
That dimensions cannot create a triangle
the answer is
Option C. Three sides measuring 5 in,12 in,and 14 in
Ответ:
The baker baked 375 loaves of bread that day.
Step-by-step explanation:
The baker baked a total of x loaves of bread.
240 loaves were sold by the end of the day.
The baker was then left with 9/25 of the number of loaves that were baked.
We get the equation:
x - 240 = 9x/25
Solving for x;
=> 25 (x - 240) = 9x
=> 25x - 6000 = 9x
=> 25x - 9x = 6000
=> 16x = 6000
x = 375
Therefore, the baker baked 375 loaves of bread that day.