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Kipish [7]
3 years ago
8

Line EF is the median of the trapezoid ABCD. The median connects the midpoint of the legs of a trapezoid. Use the diagram to fin

d the lengths of the median and base.​

Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0

Answer:

  • median: 15
  • base: 18

Step-by-step explanation:

The median is the average of the lengths of the two bases:

  5x -20 = (12 + (4x -10))/2

  5x -20 = 2x +1

  3x = 21 . . . . . add 20-2x

  x = 7

Then the lengths are ...

  median = 5x -20 = 5·7 -20 = 15

  base = 4x -10 = 4·7 -10 = 18

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vazorg [7]
4/10 = 4 tenths = 0.4

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5 0
3 years ago
Factor the binomial.<br> 4z2 − 25<br> 4z2 − 25 =
svetoff [14.1K]

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6 0
2 years ago
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Luda [366]

Answer:

a) TO = OP = 13

b) Height = 12

Step-by-step explanation:

a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.

Perimeter of triangle TOP = 36 cm

=> TO + OP + TP = 36

=> x + x + 10 = 36

=> 2x = 26

=> x = 13

=> TO = OP = 13 cm.

b) Apply Pythagorean theorem:

height^2 + (base/2)^2 = side^2 (height^2 + (TP/2)^2 = TO^2)

or

height^2 + (10/2)^2 = 13^2

or

height^2 + 25 = 169

or

height^2 = 144

or

height = 12

Hope this helps!

5 0
3 years ago
Given that MQL =180° and XQR = 180°, which equation could be used to solve problems involving the relationships
Ganezh [65]

Answer:

Option A is the right answer.

146-4b = 122-1b

Reason: vertical angles

8 0
2 years ago
Can somebody help me I will mark brainliest
bixtya [17]

Answer:

Hope this helps

Step-by-step explanation:

a) <e and <c

b) <c and <b

c) <c and <a

d) <c and <b,  <c and <d, <d and <e, <e and <a, <a and <b

e) c = 30, a = 90, b= 60, e= 30, d= 150

6 0
3 years ago
Read 2 more answers
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