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Elena-2011 [213]
2 years ago
9

Given: m∠1 = 95m∠2 = 36∠3 ≅ ∠ACE please help

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
3 0

The measure of the unknown angles are as listed:

  • <em>m∠3 = 85degrees</em>
  • <em>m∠4 = 85degrees</em>
  • <em>m∠6 = 36degrees</em>
  • <em>m∠5 = 144degrees</em>
  • <em>m∠7 = 59degrees</em>

Given the following parameters:

  • m∠1 = 95 degrees
  • m∠2 = 36 degrees

Since the sum of angle on a straight line is 180 degrees, hence;

m∠1 +m∠3 = 180

95 + m∠3 = 180

m∠3 = 180 - 95

m∠3 = 85degrees

  • From the diagram, m∠3 = m∠4 = 85 degrees (vertical angles)
  • Similarly, m∠6 = m∠2 = 36degrees (vertical angles)

The sum of angle on a straight line is 180 degrees, hence;

m∠2 +m∠5 = 180

36 + m∠5= 180

m∠5 = 180 - 36

m∠5 = 144degrees

Taking the sum of the interior angle of the triangle BEF;

m∠4 + m∠6 + m∠7 = 180

85 + 36 + m∠7 = 180

121 + m∠7 = 180

m∠7 = 180 - 121

m∠7 = 59degrees

Learn more on angles here: brainly.com/question/25716982

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Answer:

1/4 n - 3.

Hope this helps, sorry if it doesn't.

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Step-by-step explanation:

\frac{20 - (40 + x)}{12}  \times 10 = 32.5 - 30 = 2.5

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3 years ago
Suppose a and b are the solutions to the quadratic equation 2x^2-3x-6=0. Find the value of (a+2)(b+2).
KonstantinChe [14]

Answer:

(a+2)(b+2) = 4

Step-by-step explanation:

We are given the following quadratic equation:

2x^2-3x-6=0

Let a a and b be the solution of the given quadratic equation.

Solving the equation:

2x^2-3x-6=0\\\text{Using the quadratic formula}\\\\x = \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{Comparing the equation to }ax^2 + bx + c = 0\\\text{We have}\\a = 2\\b = -3\\c = -6\\x = \dfrac{3\pm \sqrt{9-4(2)(-6)}}{4} = \dfrac{3\pm \sqrt{57}}{4}\\\\a = \dfrac{3+\sqrt{57}}{4}, b = \dfrac{3-\sqrt{57}}{4}

We have to find the value of (a+2)(b+2).

Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

3 0
2 years ago
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LenKa [72]
√64 = 8

64÷1000 = 0.0064

8÷1000=0.0008

√0.0064 = 0.0008
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Answer:

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30% of 250 = 75 = 250 * 0.7

75-15=60

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