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Free_Kalibri [48]
2 years ago
5

50 POINTS!!! The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics
2 answers:
tatyana61 [14]2 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

Add all of the angles together. We know that the third one is 90° because it is a right triangle and the little square indicates a 90° angle.

7x + 16 + 39 + 90 = 180


Simply.


7x + 145 = 180

     -145    -145

7x = 35

/7      /7

x = 5


^-^

iren2701 [21]2 years ago
5 0

Solution:

<u>Note that:</u>

  • 7x + 16 + 39 + 90 = 180

<u>Simplify the equation:</u>

  • 7x + 16 + 39 + 90 = 180
  • => 7x + 145 = 180
  • => 7x = 35
  • => x = 35/7 = 5
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1/3

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The area of a rectangular piece of cardboard is represented by
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This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

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In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

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Another similar problem can be found at brainly.com/question/16995958

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3 years ago
If two measurements are very close to each other, then they are ____..
erik [133]

The <em>correct answer</em> is:


B) precise


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Precision can be broken down into two pieces:

<em>Repeatability </em>- The variation observed when the same person measures the same thing repeatedly with the same device.

<em>Reproducibility</em>: The variation observed when different people measure the same thing using the same device.


If two measurements are very close to each other, this gives repeatability. If the measurements were made by different people, this gives reproducibility.


<em>Accuracy</em>, however, describes the difference between the measurement and the thing's actual value. This would not involve getting the same result repeatedly; it would be getting the <em>correct</em> value.

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3 years ago
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