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Alex Ar [27]
3 years ago
12

What is the length of the the midsegment of a trapezoid with bases of length 14 and 24​?

Mathematics
2 answers:
krek1111 [17]3 years ago
6 0

Step-by-step explanation:

Length \: of \: midsegment \\  =  \frac{1}{2}  \times sum \: of \: lengths \: of \: bases \\  \\  = \frac{1}{2}  \times(14 + 24) \\  \\  = \frac{1}{2}  \times38 \\  \\  = 19  \: units

lesya [120]3 years ago
5 0

Answer:19

Step-by-step explanation:The midsegment of a trapezoid connects the midpoints of the two congruent sides of the trapezoid, and is parallel to the pair of parallel sides.Therefore , to find the length of the midsegment , all we need do is to add the two bases together and divide by two , that is :

Length of mid segment = \frac{14+24}{2}

Length of mid segment = \frac{38}{2}

Length of mid segment = 19

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5x = x + 20

Subtract x from both sides.

4x = 20

Divide both sides by 4.

x = 5

12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:

x + x + 50 = 180

Combine like terms.

2x + 50 = 180

Subtract 50 from both sides.

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Divide both sides by 2.

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Now make the base angle plus x equal 180, because they form a straight line.

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Subtract 65 from both sides.

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13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.

x + x + 90 = 180

Combine like terms.

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Step-by-step explanation:

The problem bothers on fractions, here we are being presented with mixed fractions.

what we are going to do bascially is to subtract the sum of all the uloaded

peat moss in sites 1 and 2 to get from the peat moss to get the remaining for the third site

therefore

10\frac{2}{5}-(2\frac{2}{3}+ 2\frac{1}{4})

we then have to convert the mixed fraction to further simplify the problem we have

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we then solve the fraction to the right of the negative symbol first

=\frac{52}{5}-(\frac{8}{3}+ \frac{9}{4})\\\\=\frac{52}{5}-\frac{32+27}{12} \\\\=\frac{52}{5}-\frac{59}{12} \\\\\=\frac{624-295}{60} \\\\=\frac{329}{60}

We can now convert to mixed fraction

=\frac{329}{60}\\\\ =5\frac{12}{25}

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8 0
3 years ago
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Eduardwww [97]

Answer:

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