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Rom4ik [11]
3 years ago
15

Midsegment of a trapezoid find x​

Mathematics
1 answer:
shepuryov [24]3 years ago
6 0

Answer:

x = 7

Step-by-step explanation:

Based on the midsegment theorem of a trapezoid, thus:

NP = (JK + ML)/2

Substitute

45 = (3x + 11 + 10x - 12)/2

2*45 = 13x - 1

90 = 13x - 1

90 + 1 = 13x

91 = 13x

Divide both sides by 13

91/13 = x

7 = x

x = 7

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Answer:

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Step-by-step explanation:

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4 years ago
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Carmen simplifies the expression (4 y + 8 x + 6) + 25 + (4 x + 6 y + 7). The coefficient of the variable y in her simplified ans
Sunny_sXe [5.5K]

Answer: 10

Step-by-step explanation:

(4y + 8x + 6) + 23 + (4x + 6y + 7)

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8 0
3 years ago
A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10m greater than the other side.
DanielleElmas [232]

Answer:

The length of the fence needed to surround this garden is 188 meters.

Step-by-step explanation:

Given : A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10 m greater than the other side.

To find : The length of the fence needed to surround this garden if the area of the vegetable garden is 2184 m² ?

Solution :

Let the one side of rectangle be 'x'.

Then the other side is 'x+10'.

The area of the rectangle is 2184 m²,

i.e. x(x+10)=2184

x^2+10x-2184=0

Solve by middle term split,

x^2+52x-42x-2184=0

x(x+52)-42(x+52)=0

(x+52)(x-42)=0

x=-52,42

Reject negative value,

The side of the rectangle is 42 m.

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The perimeter of the rectangle is P=2(l+b)

P=2(42+52)

P=2(94)

P=188

Therefore, the length of the fence needed to surround this garden is 188 meter.

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n200080 [17]

Answer:

p = 8

Step-by-step explanation:

Subtract 18 from behind the equal sign to cancel it out. This leaves you with 2(p+1)- 18= 0.

Next you'll need to pull out the terms to work with the beginning of the problem. 2(p+1)- 18= 0 would turn into 2p - 16  = 2(p - 8).

This would leave you with 2= 0, but that's not true so continue on to the variable.

So p - 8= 0 making the answer p = 8

7 0
3 years ago
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