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olga2289 [7]
3 years ago
8

Which statements are true? Select three options. ∠F corresponds to ∠F'. Segment EE' is parallel to segment FF'. The distance fro

m point D' to the origin is One-third the distance of point D to the origin. The measure of ∠E' is One-third the measure of ∠E. △DEF △D'E'F'

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

The correct options are (1), (3) and (5).

Step-by-step explanation:

The two triangles are shown below.

The measure of ∠F corresponds to ∠F'.

The distance between the points D and origin is of 9 units.

And the distance between the points D' and origin is 3 units.

Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.

Check for similarity:

\frac{D'F'}{DF}=\frac{D'E'}{DE}=\frac{F'E'}{FE}=\frac{1}{3}

Thus, the △DEF is similar to △D'E'F'.

Thus, the correct options are (1), (3) and (5).

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When x=4

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3 years ago
Please help me with this soon much appreciated.
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Answer:

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Read 2 more answers
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3 years ago
10 POINTS!!! FULL ANSWER IN STEP BY STEP FORMAT!!
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Remark
This question likely should be done before the other one. What you are trying to do is give C a value. So you need to remember that C is always part of an indefinite integral.

y = \int (cos(x) + sin(x) ) \, dx = \int{cos(x) \,dx + \int sin(x) \,dx
y = sin(x)  -  cos(x) + C 
y(π) = sin(π) - cos(π) + C = 0
y(π) = 0  -(-1) + C = 0
y(π) = 1 + C = 0
C = - 1

y = sin(x) - cos(x) - 1  <<<<< Answer

Problem Two
Remember that y =  \int\ { \frac{1}{x} } \, dx = ln(|x|) + C
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3 + C = 0
C = - 3

y = ln(|x|) - 3  <<<< Answer
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3 years ago
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