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Agata [3.3K]
3 years ago
5

I need help with this badly. It's geometry and angles.

Mathematics
2 answers:
lys-0071 [83]3 years ago
6 0

Answer:

∠ C = 118°

Step-by-step explanation:

DE = DF , then Δ DEF is isosceles with base angles congruent , then

∠ DEF = ∠ DFE = \frac{180-56}{2} = \frac{124}{2} = 62°

∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so

∠ DFB = 180° - 62° = 118°

BCDF is a parallelogram ( opposite sides are parallel )

The opposite angles of a parallelogram are congruent , then

∠ C = ∠ DFB = 118°

12345 [234]3 years ago
5 0
Ok done. Thank to me :>

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PYTHAGORAS THEROM AND TRIGONOMETRY RATIO​
marysya [2.9K]

Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

⇔ AC = sin 32°.15 ≈ 7.9 (cm)

2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3)  ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

7 0
3 years ago
For each example below, determine whether a posit tive, negative or no cause and effect relationship exists
alexira [117]
This is perhaps the most odd math question I have ever come across. Anyhow -


#1 - Positive, because smoking increases the chance of having lung cancer. (though technically there is not a linear relationship between the two as people do in fact receive lung cancer even when having not smoked)


#2 - No relationship. (Though one could argue a student may text more when given more free time as a consequence of having spent less time at school, but this is wholly subjective and unable to be substantiated by logic.)


#3 - Negative, due to the mass of the tootsie pop decreasing with each lick.


Of course, I am assuming when you say "positive" and "negative" you are speaking in terms of numbers or addition and subtraction rather than "positive" or "negative" socially.  
6 0
3 years ago
Read 2 more answers
Type the correct answer in the box. Use numerals Instead of words. If necessary, use / for the fraction bar.
Zielflug [23.3K]

Using an exponential function, it is found that the value of David's Investment will be at least $415 after a period of 20 years.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal.

In this problem, the initial value and the growth rate for his investment are given by:

A(0) = 230, r = 0.03.

Hence, the value after t years is given by:

A(t) = 230(1.03)^t

Then, the value will be of at least $415 when:

A(t) \geq 415

230(1.03)^t \geq 415

(1.03)^t \geq \frac{415}{230}

\log{(1.03)^t} \geq \log{\frac{415}{230}}

t\log{1.03} \geq \log{\frac{415}{230}}

t \geq \frac{\log{\frac{415}{230}}}{\log{1.03}}

t \geq 20

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

4 0
2 years ago
Your checking account balance is $50. You spend $11 and then deposit $27.
alexira [117]
The correct answer would be $66
6 0
3 years ago
Solve inequality and graph solution 3&gt;4x-1
UkoKoshka [18]

Answer: x < 1

--------------------    

Download pdf
6 0
4 years ago
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