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aleksley [76]
3 years ago
9

Find the value of x.

Mathematics
2 answers:
Zanzabum3 years ago
6 0

Answer:

x=3

Step-by-step explanation:

I guessed and checked which x value would make ABC proportional to DBE. If x=3, than DB=8 which is double BE. If x=3, than AB=14 which is double BC. Since it is proportional, It should be correct. I don't remember the actual way you solve this with a formula but this makes sense to me.

7nadin3 [17]3 years ago
6 0

Answer:

x=3

Step-by-step explanation:

We can use ratios to solve since the triangles are similar

x+5                   4

------------ = ---------------

x+5 +2x          4+3

Simplifying

x+5                   4

------------ = ---------------

3x+5             7

Using cross products

7(x+5) = 4(3x+5)

Distribute

7x+35 = 12x+20

Subtract 7x from each side

35 = 5x+20

Subtract 20 from each side

15 = 5x

Divide by 5

3 =x

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Step-by-step explanation: Hope this helps you

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3 years ago
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How many cubes with edge lengths of 1/4 in. will it take to fill the prism?
Ulleksa [173]

Answer:

1560

Step-by-step explanation:

First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10

Next, 3/(1/4) = 3(4) = 12

Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13

This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.

Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8

A 1/4 inch cube is 1/4 x 1/4 x 1/4 for a volume of 1/64

(195/8)/(1/64) = (195/8)(64) = 1560 cubes.

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How to divide 8/3 without leftovers
denpristay [2]

Answer:

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Step-by-step explanation:

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Identify the intervals on which each quadratic function is positive Part 1
Gemiola [76]

Answer:  1) (-∞, -6) U (-3, ∞)

               2) (-∞, -4) U (2, ∞)

               3) (-∞, -3) U (8, ∞)

<u>Step-by-step explanation:</u>

Find the zeros. Since the a-value is positive, the curve will be positive to the left of the leftmost zero and to the right of the rightmost zero.  +   -   +

                                                                                                     ←---|----|--→

1) y = x² + 9x + 18

  y = (x + 3)(x + 6)

 0 = (x + 3)(x + 6)

 0 = x + 3       0 = x + 6             +         --           +

 x = -3             x = -6              ←------|-----------|--------→

                                                     -6           -3

Positive Interval: (-∞, -6) U (-3, ∞)    

2) y = x² + 2x - 8

  y = (x + 4)(x - 2)

 0 = (x + 4)(x - 2)

 0 = x + 4       0 = x - 2              +         --          +

 x = -4             x = 2               ←------|-----------|--------→

                                                     -4            2

Positive Interval: (-∞, -4) U (2, ∞)    

3) y = x² - 5x - 24

  y = (x + 3)(x - 8)

 0 =  (x + 3)(x - 8)

 0 = x + 3       0 = x - 8               +        --           +

 x = -3             x = 8               ←------|-----------|--------→

                                                     -3            8

Positive Interval: (-∞, -3) U (8, ∞)    

   

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