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vladimir1956 [14]
2 years ago
5

I need help sorry for bothering everyone. Two supporting reasons are missing from the proof. Complete the proof by dragging and

dropping the appropriate reasons into each of the empty boxes. Given: m∥nm∠2=60° Prove: m∠7=120

Mathematics
2 answers:
attashe74 [19]2 years ago
6 0
Since ∠2=60° = ∠8 so it will also be 60 °
the sum of the both are 60°+∠7=180°
∠7= 180°- 60° = 120°
inna [77]2 years ago
3 0

Answer:

Given:

m \parallel n\\m\angle 2 = 60\°

Prove:

m\angle 7 = 120\°

1. m \parallel n\\m\angle 2 = 60\° , by Given.

2. m\angle 2 = m\angle 8, by Alternate Exterior Angles Theorem.

3. m\angle 8= 60\°, by substitution.

4. m\angle 8 + m\angle 7 = 180\°, by Straight Angle Definition and Supplementary Angle Theorem.

5. 60\° +m\angle 7 = 180\°\\m\angle 7= 180\° - 60\°\\m\angle 7= 120\°, by substitution.

\therefore m\angle 7 = 120\°

It's important to remember that Alternate Exterior Angles are those which are placed outside the parallels and at different sides of the transversal, and these angles are always congruent.

Additionally, the definition of a straight angle is that this angle is equal to 180°, and supplementary angles theorem states that adjacent angles that sum 180° are supplementary one each other.

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The table shows the total number y (in billions) of U.S. movie admissions each year for x years. Use a graphing calculator to fi
wariber [46]

Answer:

By rounding up of the constant and coefficient terms, we have;

The line of best, fit is y = 1.23 + 3.46 × 10⁻²·x

Step-by-step explanation:

The table for the data on the number of movie admissions each year is presented as follows;

Year, x                                             {}                      Admission, y

0                                                      {}                         1.24

2                                                       {}                        1.26

4                                                      {}                         1.39

6                                                      {}                         1.47

8                                                      {}                         1.49

10                                                      {}                        1.57

Using a graphing calculator, we have that the line of best fit is given by the following equation;

y = 1.23047619048 + 3.45714285714 × 10⁻²·x

Which is approximately, y = 1.23 + 3.46 × 10⁻²·x

3 0
3 years ago
( -3, -14 ) and ( 0, -9 )
expeople1 [14]

The slope of the line that passes through the points ( -3, -14 ) and ( 0, -9 ) is 5/3

<h3>How to calculate the slope of the line?</h3>

From the question, the points are given as

( -3, -14 ) and ( 0, -9 )

Rewrite the above points properly as ordered pairs

So, we have the following ordered pairs

(-3, -14) and (0, -9)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, -14) and (0, -9)

Substitute the known values of the ordered pairs in the equation Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have the following equation

Slope = (-9 + 14)/(0 + 3)

Evaluate the sum in the above equation

So, we have the following representation

Slope = 5/3

Hence, the slope of the line is 5/3

Read more about slope at

brainly.com/question/3493733

#SPJ1

<u>Possible question</u>

Find the slope of ( -3, -14 ) and ( 0, -9 )

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Answer:

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