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sattari [20]
4 years ago
13

a rectangular window has diagonal window panes, as shown in the picture below. what is the length of each diagonal?

Mathematics
1 answer:
vova2212 [387]4 years ago
6 0

Answer:

D. 4 ft.

Step-by-step explanation:

Diagonals are the lines that extend from one corner of the square/rectangle to the opposing/reflectory side. So an example of a diagonal would be from the upper left hand corner of this shape to the lower right hand corner. This would be a diagonal. Since We know that both diagonals intersect at the center, each diagonal halves itself. So, since we know that 1/2 of a diagonal = 2 feet, then if we add the second half of the diagonal, or 2 more feet, we get the length of a diagonal.

2 ft. + 2 ft. = 4 ft.

And since the lengths of diagonals in squares and rectangles are congruent, we can see that if one diagonal is equal to 4 ft., then the length of the other diagonal will also be 4 ft.

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Please check my answer for 10+3(x+2)=36. I got x=6 2/3 or 6.66666667. I want to make sure I’m right.
White raven [17]

You are right! 6 2/3 is the answer

Step-by-step explanation:

10+3(x+2)=36

10+3x+6=36

16+3x=36

3x= 20

x=6 2/3

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3 years ago
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Grace [21]

58):  Solution =====>    Letter Choice,  (C)      1.25m      =       1.50(m      -      2)

Let's solve your equation step-by-step.

1.25m       =      1.5(m     −     2)

Step 1: Simplify both sides of the equation.

1.25m     =        1.5(m    −      2)

1.25m     =      (1.5)(m)       +        (1.5)(−2)                                  (Distribute)

1.25m       =       1.5m          +           −3

1.25m        =       1.5m       −       3

Step 2: Subtract 1.5m from both sides.

1.25m      −       1.5m      =      1.5m     −      3      −       1.5m

−0.25m           =            −3

Step 3: Divide both sides by -0.25.

-0.25m/ -0.25        =          -3/ -0.25

m       =========>    12

Answer    ===========>      m       =        12



59):   Let  your Number be:    D  

Solution:     =====>    7D       =      5D        -      3   =====>  -3/2    =====>    -1.5

Seven Times a number:

7   *     D      or    7(D)

Three Less than Five Times that Number:

5D     -     3

7D       =        5D       -    3

Solve for D:

7D   =    5D     -    3

Subtract   5D   from both sides:

7D   -    5D      =    5D     -     3      -   5D

2D       =           -3

Divide both sides by  2:

2D/2     =       -3/2

D                   =             -3/2

Answer  ==>  D  ====>      -3/2     ========>    Letter Choice, (F)      - 1.5




60):    Letter Choice,   (C),    3x      -     9      =    5x  

Let's solve your equation step-by-step.

3x       −      9       =         5x

Step 1: Subtract 5x from both sides.

3x      −       9       −      5x      =      5x     −      5x

−2x       −     9       =      0

Step 2: Add 9 to both sides.

−2x      −       9        +      9       =       0       +      9

−2x       =       9

Step 3: Divide both sides by -2.

-2x/ -2      =      9/ -2

x        =            -9/2

Answer   ========>         x         =       -9/2       =======>  4.5




61):   Subtract:

500    -      120

=      380

Need to total 500:

380

Find Number of Weeks Divide:

380/20    =      19  Weeks

7   *   19     =    133  

Days it will take Nichole to save  $500.00 =======>   133 Days





62):    Gridded Response:

Solve:

- 2(x     -     1 )       +        5x       =     2(2x        -     1 )  ======>      x     =      4

( -2 )(x)     +     ( -2)( - 1 )    +     5x     =   (2)(2x)      +    (2)( - 1 )

Distribute:

- 2x     +  2     +    5x     =     4x      +        - 2

( - 2x     +    5x )       +        (2)        =       4x     -     2       (Combine  Like terms):

3x    +   2        =    4x       -    2

3x         +      2     =      4x      -   2

Subtract   4x   From both sides:

3x     +    2      -     4x       =       4x     -     2      -    4x     -     x     +   2     =      -2

Subtract  2   from both sides:

-x     +     2    -   2       =         -2       -      2

-x         =       -4

Divide both sides  by     -1:

-x/ -1      =      -4/ -1

x         =     4

Answer   =====>      x      =      4           Check the Graph down below  for Gridded Response on Number 62.      






Hope that helps!!!                                            : )     _P_












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