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atroni [7]
3 years ago
11

In the diagram shown, /Il m, m

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
5 0

Answer:

  29°

Step-by-step explanation:

Angles 1 and 8 are alternate exterior angles where a transversal crosses parallel lines, so are congruent.

  m∠1 = m∠8

  3x+25 = 4x-17

  42 = m . . . . . . . . add 17-3x

Then the measure of ∠1 is 3·42 +25 = 151 (degrees), and the measure of its supplement, ∠2 is ...

  m∠2 = 180° -151° = 29°

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arsen [322]

The correct answer is option D which is the side length will be (64n)¹⁸.

<h3>What is the area of the square?</h3>

The square is defined as a quadrilateral having all four sides equal to each other and the area of the square is the product of its sides.

Given that:-

  • The area of the square is given as- A = (64n)³⁶.

The sides of the square will be calculated as follows:-

A = (64n)³⁶

a² = (64n)³⁶    Here a = Side of the square.

a = √ (64n)³⁶

a = 64n¹⁸

Therefore the correct answer is option D which is the side length will be (64n)¹⁸.

To know more about an area of square follow

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2 years ago
A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
stepan [7]

Answer:

Step-by-step explanation:

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3 years ago
Solving Quadratic Equations using the Square Root Property
Afina-wow [57]

Answer:

x = -2   or   x = -5

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

x^2 + 7x + 10 = 0

Subtract 10 from both sides.

x^2 + 7x = -10

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}

(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}

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Now we use the square root property, if

x^2 = k, then

x = \pm \sqrt{k}

x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}

x + \dfrac{7}{2} = \pm \dfrac{3}{2}

x + \dfrac{7}{2} = \dfrac{3}{2}   or   x + \dfrac{7}{2} = -\dfrac{3}{2}

x = -\dfrac{4}{2}   or   x = -\dfrac{10}{2}

x = -2   or   x = -5

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3 years ago
The formula for the surface area of a sphere is A=4pi r*2, where r is the length of the radius. Find the surface area of the sph
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Answer:

Step-by-step explanation:

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Your answer is 160. Sorry about that answer above I laughed reading it hahaha.

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