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Montano1993 [528]
2 years ago
11

Triangle FED is the image of triangle ABC. Angle A corresponds with which angle?

Mathematics
2 answers:
Iteru [2.4K]2 years ago
7 0

Answer:

C) F

Step-by-step explanation:

If you flip triangle ABC across the y-axis and slide it over top of triangle FED then you can see that angle A corresponds with angle F.

slamgirl [31]2 years ago
4 0
The answer would be F
You might be interested in
Convert 2FA.C8 base 16. express in Octal form, Quinary or pental form and Binary form​
Sunny_sXe [5.5K]

Using base conversion method, 2FA.C8 base 16 can be expressed as:

  • 1372.628 in octal
  • 11022.3423120034 in pental
  • 1011111010.11001 in binary

<h3>What is 2FA.C8 base 16 expressed in Octal form?</h3>

To express 2FA.C8 in octal form, it is first converted to a decimal form as follows:

where:

F = 15

A = 10

C = 12

2FA.C8 = 2 × 16^2 + F × 16^1 + A × 16^0 + C × 16^-1 + 8 × 16^-2

2FA.C8 = 762.7812510 in decimal.

Then, convert 762.7812510 to octal as follows:

  • First the integral part is converted to octal by repeated division by 8.
  • The fractional part is converted to octal by repeated multiplication by 8 until we get to zero (here, we calculate up to ten digits)
  • add the integral and fractional part together

762 / 8 = 95 remainder 2

95 / 8 = 11 remainder 7

11 / 8 = 1 remainder 3

1 / 8 = 0 remainder 1

762 = 1372

Then;

0.78125 × 8 = 6 + 0.25

0.25 × 8 = 2 + 0

0.78125 = 0.62

Therefore, 762.78125 in decimal = 1372.628 in octal

<h3>What is 2FA.C8 base 16 expressed in pental form?</h3>

To convert 2FA.C8 base 16 to pental form, we use its value in decimal for conversion.

  • 2FA.C8 base 16 = 762.7812510 base 10

Then, convert 762.7812510 to pental as follows:

  • First the integral part is converted to pental by repeated division by 5
  • The fractional part is converted to pental by repeated multiplication by 5 until we get to zero (here, we calculate up to ten digits)
  • add the integral and fractional part together

762 / 5 = 152 remainder 2

152 / 5 = 30 remainder 2

30 / 5 = 6 remainder 0

6 / 5 = 1 remainder 1

1 / 5 = 0 remainder 1

  • 762 in decimal = 11022 in pental

Then 0.78125 to pental:

0.78125 × 5 = 3 + 0.90625

0.90625 × 5 = 4 + 0.53125

0.53125 × 5 = 2 + 0.65625

0.65625 × 5 = 3 + 0.28125

0.28125 × 5 = 1 + 0.40625

0.40625 × 5 = 2 + 0.03125

0.03125 × 5 = 0 + 0.15625

0.15625 × 5 = 0 + 0.78125

0.78125 × 5 = 3 + 0.90625

0.90625 × 5 = 4 + 0.53125

Thus, 0.78125 in decimal = 0.3423120034 in pental

Therefore, 762.78125 in decimal = 11022.3423120034 in pental.

<h3>What is 2FA.C8 base 16 expressed in Binary form?</h3>

To convert 2FA.C8 base 16 to binary form, we use its value in decimal for conversion.

  • 2FA.C8 base 16 = 762.7812510 base 10

Then, convert 762.7812510 to binary as follows:

  • First the integral part is converted to binary by repeated division by 2
  • The fractional part is converted to binary by repeated multiplication by 2 until we get to zero (here, we calculate up to ten digits)
  • add the integral and fractional part together

762 / 2 = 381 remainder 0

381 / 2 = 190 remainder 1

190 / 2 = 95 remainder 0

95 / 2 = 47 remainder 1

47 / 2 = 23 remainder 1

23 / 2 = 11 remainder 1

11 / 2 = 5 remainder 1

5 / 2 = 2 remainder 1

2 / 2 = 1 remainder 0

1 / 2 = 0 remainder 1

  • 762 base 10 = 1011111010 base two

Then 0.78125 to binary:

0.78125 × 2 = 1 + 0.5625

0.5625 × 2 = 1 + 0.125

0.125 × 2 = 0 + 0.25

0.25 × 2 = 0 + 0.5

0.5 × 2 = 1 + 0

0.78125 base 10 = 0.11001 base two

Therefore, 762.78125 base 10 = 1011111010.11001 base two.

Learn more about base conversion at: brainly.com/question/17946394

4 0
2 years ago
I need help please???
melamori03 [73]

Answer:

x < 8

Step-by-step explanation:

Given

x + 4 < 12

Isolate x on the left side by subtracting 4 from both sides

x < 8 ← is the solution

6 0
3 years ago
Read 2 more answers
What is the length of AC¯¯¯¯¯ ?
Harman [31]

Answer:

AC = 12.38 cm

Step-by-step explanation:

When there are 2 pairs given, we can use the sine rule to solve the problem.

By pairs we mean "an angle and side opposite to it"

<em>1 pair is 85.2 degree angle and 13 cm, and another pair is 71.6 degree angle and the side AC (which we want to figure out).</em>

<em />

Sine Rule is given by \frac{SinA}{a}=\frac{SinB}{b}

where,

A and B are the two respective angles and a and b are the two respective sides (of the pairs). Plugging all the info and using algebra, we have:

\frac{Sin85.2}{13}=\frac{Sin71.6}{AC}\\AC*Sin85.2=13*Sin71.6\\AC=\frac{13*Sin71.6}{Sin85.2}\\AC=12.38

Thus, AC = 12.38 cm

5 0
3 years ago
Read 2 more answers
I REALLY NEED HELP FAST PLEASE !!
fiasKO [112]

Answer:

C: √768

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

8 0
2 years ago
Read 2 more answers
Edgar increased the amount of protein he eats every day from 36 g to 44g. By what percentage did Edgar increase the amount of pr
kkurt [141]
Edgar increases his amount of protein consumption by 133%
6 0
3 years ago
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