Answer:
<h3>18°</h3>
Step-by-step explanation:
See the diagram attached:
In a triangle, the sum of interior angles is equal to the exterior angle.
According the diagram, the sum of interior angles is given as:
Sum of interior = <FDE+<DEF
Given
<FDE = 2x+4
<DEF = 3x+5
Sum of interior = 2x+4+3x+5
Sum of interior = 5x+9
Exterior angle = <EFG = 7x-5
Equate the interior to the exterior and calculate the value of x:
5x+9 = 7x-5
Collect like terms
5x-7x = -5-9
-2x = -14
x = -14/-2
x = 7
Next is to get <FDE:
<FDE = 2x+4
<FDE = 2(7)+4
<FDE = 14+4
<FDE = 18°
Hence the measure of <FDE is 18°
Answer:
- 7040 yards
- zeros are place holders
Step-by-step explanation:
Each mile is 1760 yards, so 4 of them is ...
4 × 1760 yards = 7040 yards
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This number is written as a decimal number in a "place value" system, so the position of the digit in the number tells its value.
In order for the 7 to indicate 7 thousand, it needs to be in the "thousands" place in the number. The 0s in the hundreds and units places are called "place holders" because they ensure the other digits appear in their proper places in the number.
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If it were written in Roman Numerals, it would be
. In this system, the letter tells its value (and "place" comes into account in XL, which means X is subtracted from L). The system of Roman Numerals has no zeros, and doesn't need them.
Answer:
Population 120 given the survey, sample 90 who answered the survey.
Step-by-step explanation:
The entire amount of employees who even received the surveys at all was 120. Because the total number was 120, 120 is the population.
Only 90 out of 120 surveys were received, so 90 is the sample because it is part of 120.
Hope this helps :)
Answer:
91.4
Step-by-step explanation: