3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to p
oint C in between angle D F B. Angle A F E is 125 degrees and angle B F C is 45 degrees. What is mAngleDFC? 45° 80° 125° 135°
2 answers:
Answer:
∠ DFC = 80°
Step-by-step explanation:
See the attached figure.
Since BFE is a straight line so, ∠ BFA + ∠ AFE = 180°
Now, ∠ AFE is given to be 125°.
So, ∠ BFA = 180° - 125° = 55°
Now, AFD is a straight line. So, ∠ BFA + ∠ BFC + ∠ DFC = 180°
⇒ 55° + 45° + ∠ DFC = 180° {Since, ∠ BFC is given to be 45°}
⇒ ∠ DFC = 180° - 55° - 45° = 80° (Answer)
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<u>Solution- </u>
A researcher placed a petri dish with 32,000 bacterial cells. One hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. Another hour later, the number of cells had again halved.
This can be represented as exponential decreasing function,
Where,
- a = starting amount = 32000
- r = rate = 50% = 0.5 as the sample becomes halved in each hour
- x = hours
Putting the values,
y-intercept means, where x=0, so
The coordinate of this poin will be (0, 32000)
This means when x=0 or at the starting of the research, the number of bacteria cells was 32000.
After 3 hours, number of bacteria cells will be,
The coordinate of this point will be (3, 4000)
