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3 years ago

Answer to this problem

Mathematics

1 answer:

horrorfan [7]3 years ago

3 0

Y = 35 x + 20

hope this helps (;

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4. ABCD below is a rectangle. BE=6x+2 and ED=4x+6. Find the length of AC.

Nikolay [14]

Answer:

28 units

Step-by-step explanation:

ABCD is a rectangle. AC and BD are diagonals intersecting at point E.

Diagonals of a rectangle bisect each other.

$\therefore BE = ED$

$\therefore 6x + 2 = 4x + 6$

$\therefore 6x - 4x= 6-2$

$\therefore 2x= 4$

$\therefore x= \frac{4}{2}$

$\therefore x= 2$

$\therefore 6x + 2= 6*2+2= 12+2= 14$

$\therefore BE= 14\: units$

$\because BD = 2BE$

$\therefore BD = 2(14)= 28\: units$

$\because AC = BD$ (diagonals of a are equal in measure)

$\therefore AC = 28\: units$

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3 years ago

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3 years ago

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3 years ago

A merchant mixed 10 lb of a cinnamon tea with 2 lb of spice tea. The 12-pound mixture cost $19. A second mixture included 16 lb

zubka84 [21]

Hey there!!

Take the cinnamon tea as ' x ' and spice tea as ' y '

10 x + 2y = 19 -------------- ( 1 )

16x + 10y = 44 --------------- ( 2 )

Multiply the first equation by 5

50x + 10y = 95

16x + 10y = 44

Subtract the second equation from the first

34x = 51

x = 51 / 34

x = $1.5

Substitute this in any other equation

15 + 2y = 19

2y = 4

y = 2

Cinnamon = $1.5

Spice tea = $2

Hope helps!

7 0

3 years ago