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Ostrovityanka [42]
3 years ago
12

If the length of one base of a trapezoid is 5, the length of the other base is 2x + 7, and the length of the midsegment is 6x –

24, what is the value of x? Show equations and all work that leads to your answer.
Mathematics
1 answer:
enyata [817]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

The midsegment of a trapezoid is the line parallel to the parallel sides of the trapezoid, which connects the midpoints of the non-parallel sides.

The length of the midsegment of the trapezoid is half the sum of the length of the parallel sides.

i.e,

Length of the midsegment = (1/2) *(Length of base1 + Length of base2)

6x - 24 = (1/2) * (5 + 2x + 7)

12x - 48 = 2x + 12

10x = 60

x=6

∴ x = 6

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Answer:

22.50m

Step-by-step explanation:

With the ground, the horizontal ground distance is the adjacent side, so by SOHCAHTOA, the ratio used is cosine, i.e.

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= 35*0.64279

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7 0
3 years ago
joe measured a brick using a ruler with centimeters and got 9 cm. he then measured the same brick using a ruler with millimeters
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Answer:

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Step-by-step explanation:

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In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.
leonid [27]

The answer is the square root of 324



4 0
3 years ago
. Identify this sequence: 12, 19, 26, 33, 40, 47. The next term is ______.
CaHeK987 [17]

Answer:

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Step-by-step explanation:

Look carefully, and you will find that each number increases by 7.

12 + 7 = 19.

19 + 7 = 26.

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...and so on.

Therefore, the next term is 54 since 47 + 7 = 54.

Hope this helped!

5 0
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Answer:

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