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tamaranim1 [39]
3 years ago
9

Nathan picked a total of 60 apples and 1/3 hour write and solve a division equation to find how many apples Nathan could pick in

one hour
Mathematics
1 answer:
Ainat [17]3 years ago
4 0
X/3=60
then multiply each side by 3 and x will equal 180
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Factor the expression -10x^2-41x-21
BaLLatris [955]
-10x^2-41x-21= -(10x^2+41x+21) =-(10x^2+35x+6x+21)=\\\\=- [(10x^2+35x)+(6x+21 )]=- [5x(2x +7 )+3(2x+7 )]=-(2x+7)(5x+3)


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Length of the median CP
ehidna [41]

Given:

ΔABC \sim ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}

$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}

Do cross multiplication.

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$\Rightarrow 24x+96=48x-192

Add 192 on both sides.

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$\Rightarrow 24x+288=48x

Subtract 24x from both sides.

$\Rightarrow 24x+288- 24x=48x- 24x

$\Rightarrow 288=24x

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

     = 36 - 12

     = 24

The length of median CP is 24.

7 0
3 years ago
Patrick already has 1 plant in his backyard, and he can also grow 1 plant with every seed packet he uses. With 40 seed packets,
sveticcg [70]
41 seed packets you do the math
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I need help on this :/
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Step-by-step explanation:

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