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Elan Coil [88]
3 years ago
14

Lines l, m, and n are parallel. What is the value of x? Here is the picture.

Mathematics
2 answers:
Alika [10]3 years ago
7 0
I believe they are the same angle measurement..58 degrees.
liq [111]3 years ago
7 0
58 and x are alternate interior angles, so they're equal.
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Answer:

FV= $669.11

Step-by-step explanation:

Giving the following information:

Purchase price (PV)= $800

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Number of periods (n)= 12 years

<u>To calculate the value of the card after 12 years, we need to use the following formula:</u>

FV= PV / (1 + d)^n

FV= 800 / (1.015^12)

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Step-by-step explanation:

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3 years ago
F(9) if f (x)=5x-16, what is the answer to the math problem
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Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering p
tankabanditka [31]

Answer:

1.778 times more or 16/9 times more

Step-by-step explanation:

Given:

- Mirror 1: D_1 = 8''

- Mirror 2: D_2 = 6"

Find:

Compare the light gathering power of an 8" primary mirror with a 6" primary mirror. The 8" mirror has how much light gathering power?

Solution:

- The light gathering power of a mirror (LGP) is proportional to the Area of the objects:

                                           LGP ∝ A

- Whereas, Area is proportional to the squared of the diameter i.e an area of a circle:

                                           A ∝ D^2

- Hence,                              LGP ∝ D^2

- Now compare the two diameters given:

                                           LGP_1 ∝ (D_1)^2

                                           LGP ∝ (D_2)^2

- Take a ratio of both:

                           LGP_1/LGP_2 ∝ (D_1)^2 / (D_2)^2

- Plug in the values:

                               LGP_1/LGP_2 ∝ (8)^2 / (6)^2

- Compute:             LGP_1/LGP_2 ∝ 16/9 ≅ 1.778 times more

6 0
3 years ago
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