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sladkih [1.3K]
3 years ago
9

If segment FD = 20 units and segment DE = 52 units, what is the value of b? Round the solution to the nearest hundredth.

Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

b = 22.62^{o}

Step-by-step explanation:

Since the triangle is a right angled triangle, the appropriate trigonometric function can be applied to determine the value of b.

Thus, to determine the value of b;

Sin θ = \frac{opposite}{hypotenuse}

Sin b =  \frac{20}{52}

         =  \frac{20}{52}

          = 0.38462

⇒ b = Sin^{-1} 0.38462

  = 22.6202

b = 22.62^{o}

The measure of angle E (= b) is 22.62^{o}.

         =

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Aliun [14]

The solution of the system of equation is (-7, -2).

<h2>Given</h2>

The system of the equations;

\rm y^2 + x^2 = 53 \\\\y -x = 5

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Substitute the value of y in equation 1

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The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

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y = 7 (x =2, y =7) … Not included in the options

If x = -7

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Hence, the solution of the system of equation is (-7, -2).

To know more about System of Equation click the link given below.

brainly.com/question/1495351

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Answer:

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Step-by-step explanation:

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y+2x=3

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