The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
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Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.
<h3>The condition for two parallel lines.</h3>In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:
m₁ = m₂
<u>Note:</u> m is the slope.
<h3>What is the alternate interior angles theorem?</h3>The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):
- <ABD = <BDH = 38°
- <DFE = <HDF = 62°
For angle BDF, we have:
<BDF = <BDH + <HDF
<BDF = 38° + 62°
<BDF = 100°.
Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:
∠BDF + <DFC = 180°
<DFC = 180 - ∠BDF
<DFC = 180 - 100
<DFC = 80°.
For angle CFG, we have:
∠DFE + <DFC + <CFG= 180°
<CFG = 180° - ∠DFE - <DFC
<CFG = 180° - 62° - 80°
<CFG = 38°.
Read more on parallel lines here: brainly.com/question/3851016
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Answer:
The population of bacteria after 6 days is 2,313.06
Step-by-step explanation:
Given as :
The initial population of bacteria = i = 1,000 bacteria
The growth rate of bacteria per day = 15%
Let The population of bacteria after 6 days = f
The time period of growth = 6 days
<u>Now, According to question</u>
The population of bacteria after 6 days = initial population ×
Or, f = i ×
Or, f = 1000 ×
Or, f = 1000 ×
Or, f = 1000 × 2.31306
∴ f = 2,313.06
So,The population of bacteria after 6 days = f = 2,313.06
Hence,The population of bacteria after 6 days is 2,313.06 Answer