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solong [7]
1 year ago
12

Given the following information, determine which lines, if any, are parallel. State the

Mathematics
1 answer:
Leokris [45]1 year ago
4 0

Answer:

parallel lines a and b

parallel lines l and m

Step-by-step explanation:

25 A.

Angles 3 and 7 are alternate interior angles of lines a and b cut by transversal l.

Since angles 3 and 7 are congruent, lines a and b are parallel by the theorem:

<em>If two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel.</em>

25 B.

Angles 5 and 12 are same side interior angles of lines l and m and transversal b.

Since the sum of the measures of the angles 5 and 12 is 180, then angles 5 and 12 are supplementary angles making lines l and m parallel by the theorem:

<em>If two lines are cut by a transversal such that same side interior angles are supplementary, then the lines are parallel.</em>

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mary has 39 square feet of patio bricks. each square brick has sides 1 foot long. what is the greatest perimeter of a rectangle
bearhunter [10]

-- The smallest perimeter you can make with a certain area
is a circle.

-- The NEXT smallest perimeter with the same area is a square.

   With 1-ft by 1-ft square bricks, the shortest perimeter she could
make would be by using her bricks to make it as square as possible. 
Without cutting bricks into pieces, the best she could do would be  

                           (13 bricks) x (3 bricks) .

                            =    (13-ft) x (3-ft)

           Perimeter = (2 x length) + (2 x width)

                             = (2 x 13-ft)  +  (2 x 3-ft) 
                           
                             =      (26-ft)  +  (6-ft)  =  32 feet  <== shortest perimeter.

-- Then, the more UNSQUARE you make it, the more perimeter
it takes to enclose the same area.  That means Mary has to make
a rectangle as long and skinny as she can.

The longest perimeter she can make (without cutting bricks into
pieces) is    (39 bricks) x (1 brick) .

                        = (39-ft)  x  (1-ft) .

    Perimeter  =  (2 x length) + (2 x width)

                       =   (2 x 39-ft)  +  (2 x 1-ft)

                       =        (78-ft)  +  (2-ft)     =     80 feet .    

What she'll have then is a brick path, 39 feet long and 1 foot wide,
and when you walk on it, you'll need to try hard to avoid falling off
because it's only 1 foot wide.  

7 0
3 years ago
Question 6
marin [14]

Answer:

18 miles per hour is an outlier

the outlier decreases the mean speed

Step-by-step explanation:

the low number of 18 is way different from the other numbers being in the 30's and 40's

this 18 will bring the mean of all the numbers own because it is a smaller number.

8 0
3 years ago
Let f(x) ln(1+t^2)dt find f'(x) find the critical numbers of f g
OverLord2011 [107]
X1y hope it helps I'm just starting out
7 0
3 years ago
Put brackets in the calculation below to make it correct.<br><br> 15 - 4 x 2 + 1 = 3
bagirrra123 [75]
If you put brackets around (2+1), your method of working is: 
1) 15-4*(2+1)=3 
2) 15-4*3=3
3) 15-12=3
You don't need any more brackets, as the BIDMAS (brackets, Indices, division, multiplication, addition, subtraction) rule does the rest of the job for you. 
The answer is therefore: 15-4*(2+1)=3
3 0
2 years ago
If one gallon of paint covers 825 sq. ft how much paint is needed to cover 2640 sq ft
Reil [10]
2640÷825=3.2 gallons of paint
5 0
2 years ago
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