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zhenek [66]
3 years ago
6

Given regular pentagon ABCDE, what are the coordinates of vertex C?

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer: a

Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)

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(1) In the diagram below, AC || DF|| BH || and CB || FE.
Liula [17]

Answer:

Part 1) Triangles ABC, DBG, DEF and BEH are similar

Part 2) \frac{AB}{AC}=\frac{DE}{DF}=\frac{DB}{DG}=\frac{BE}{BH}

Step-by-step explanation:

Part 1)

we know that    

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

In this problem Triangles ABC, DBG, DEF and BEH are similar, because its corresponding angles are congruent by AA Similarity Theorem

Part 2)

Remember that

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therefore

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3 years ago
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JK has endpoints at -12 and 4. What is the coordinate of its midpoint
iris [78.8K]

Answer:

- 4

Step-by-step explanation:

Midpoint of JK

=  \frac{ - 12 + 4}{2}  \\  \\  =  \frac{ - 8}{2}  \\  \\  =  - 4

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4 years ago
Finish the sequence 1,1,1,3,5,9,17,31,57, , ,
antoniya [11.8K]
Your basically adding the first 3 numbers to get the next for example: 1,1,1=3
and then 1,1,3,=5 and then 1,3,5=9 then 3,5,9 =17 so on and so forth.

so to get the first answer of 105 I added the last 3 numbers in the sequence together (17,31,57) to get 105

the next 3 numbers in the sequence are:
105,193,355
7 0
3 years ago
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