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Fittoniya [83]
4 years ago
14

Two lines intersect in a plane in form for angles what are the angles formed fathers intersect is a 53° angle what are the measu

res of the other three angles explain your answer
Mathematics
1 answer:
DedPeter [7]4 years ago
6 0

Answer:

53°, 127°, 127°

Step-by-step explanation:

<u>Two intersecting lines form two pairs of angles:</u>

  • Pair of vertical angles. They are opposite to each other and are equal
  • Pair of adjacent angles which are supplementary angles and their sum is  180°

<u>So if one of the angles is measured 53°, then the other angles are:</u>

  • 53°- vertical angle with the first one
  • 180° - 53° = 127°
  • 180° - 53° = 127°
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Answer:

The given statement is false.    

Step-by-step explanation:

We are given the following in the question:

95% confidence interval: (4.53,5.18)

Sample mean, \bar{x} = 4.85 seconds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, σ = 1.47 seconds

Degree of freedom = n - 1 = 19

95% Confidence interval:  

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 4 and}~\alpha_{0.01} = \pm 2.09

4.85 \pm 2.09(\dfrac{ 1.47}{\sqrt{20}} )\\\\ = 4.85 \pm 0.69 \\\\= (4.16 ,5.54)  

Thus, the calculated confidence interval is different from the given confidence interval.

Hence, the given statement is false.

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4 years ago
Which numbers should go in the shaded overlap? <br> Factors of 30 <br> Factors of 20
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Both of these numbers had 2 and 5 in their factor
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mr_godi [17]

Answer:

Step-by-step explanation:

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A rectangle has a height of 7x^27x 2 7, x, squared and a width of 3x^2+8x+73x 2 +8x+73, x, squared, plus, 8, x, plus, 7. Express
abruzzese [7]

The expression 21x⁴ + 56x³ + 49x² represents the area of the entire rectangle.

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

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

The area of the rectangle = length x width

= (3x² + 8x + 7)(7x²)

\rm =7x^2\cdot \:3x^2+7x^2\cdot \:8x+7x^2\cdot \:7

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Thus, the expression 21x⁴ + 56x³ + 49x² represents the area of the entire rectangle.

Learn more about the rectangle here:

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2 years ago
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kow [346]

Answer:

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