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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 length of a rectangle is
Korolek [52]

Answer:

They did not state exactly what the width or length is. So in this case, let's name the number of width to be x. And thus we can derive to the conclusion of,

Step-by-step explanation:

Width : x

Length : x-44 (from the 1st sentence of question)

So, We all know that a rectangle has 2 Lengths and 2 widths. So we can derive the conclusion that,

2(x)+2(x-44)=150150

2x+2x-88=150150

4x-88= 150150

4x= 150150+88=150238

4x=150238

x= 150238÷4

=37559.5

6 0
3 years ago
Read 2 more answers
Write the Egyptian numeral as a Hindu-Arabic numeral
Katyanochek1 [597]

Answer:

2635

Step-by-step explanation:

the first two stand for 1000

so

2000

is the first part

the second numeral stands for 100

there are 6 of them

so

600

is the second part

the third numeral stands for 10 and there are 3 of them

thus

30

is the third part

there are 5 lines so the last part is 5

so your answer is 2635

5 0
1 year ago
A - g(x) = |x-5|+5 <br> B - g(x) = |x-5| <br> C - g(x) = |x|+5 <br> D - g(x) = |x+5|+5
n200080 [17]

Answer:

g(x) =  |x|  + 5

Step-by-step explanation:

Since both the original and transformed graph have the same x value for their vertex, there was no horizontal shift. However the vertex shifted up. Specifically it shifted up 5 units. Therefore:

g(x) = f(x) + 5

The plus 5 performs a translation up 5 units. Plugging in for f(x) it can be seen that:

g(x) =  |x|  + 5

5 0
3 years ago
The perimeter of a square newspaper ad is 40 centimeters. How long is each side?
Katyanochek1 [597]
The answer is:  "10 cm" .
____________________________________
Method 1)
____________________________________________
2L + 2w = 40 ;  Since the formula for perimeter of a rectangle (Note: a square is a rectangle) is:

                         P = 2L + 2w ;  Note:  L = length; w = width; P = perimeter;
______________________________________________________
 Factor out a "2":
_________________
" 2L + 2w = 40" ;

2 (L+ w) = 40;

Divide each side of the question by "2" ;
____________________________________
         [2 (L + w)] / 2  = 40 / 2 ;
____________________________________
 to get:  (L + w) = 20 ;

Note:  this "rectangle is a square" ; so L= w".
__________________
20 /2 = 10 ;

L + w = 10 + 10 = 20.

This is a square, so each side of the square is the same length.

Each side is:  10 cm .
______________________________________________
Method 2)
______________________________________________

We are given: The perimeter (sum of the lengths of all sides) of a square is "40 cm."  Since a square has 4 sides of equal length:
     Each side is:  40 cm / 4 = 10 cm.
______________________________________________
6 0
2 years ago
YALL HELP PLEASE THANK U
Ede4ka [16]

Answer:

I am not getting this question

4 0
3 years ago
Read 2 more answers
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