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Marat540 [252]
2 years ago
14

In the figure the horizontal lines are parallel and ab=bc=cd if lm =5 find jm

Mathematics
2 answers:
Leviafan [203]2 years ago
7 0
Answer is c or 10

thanks!
andrew11 [14]2 years ago
4 0

Answer:

The correct option is A. 15 units

Step-by-step explanation:

Given : The horizontal lines are parallel. ⇒ MA ║ LB ║ KC ║ JD .

            LM = 5 units . AB = BC = CD

To Find : Length of JM

Solution : Since the horizontal lines are parallel and the lines MJ and AD are transversal. So, By the transversal theorem :

If segments on a transversal cut by parallel lines are equal, then similar segments cut by the same parallel lines on another transversal are also equal.

⇒ If AB = BC = CD then ML = LK = KJ

Now, JM = LM + KL + KJ

⇒ JM = LM + LM + LM

⇒ JM = 3 × LM

⇒ JM = 3 × 5

⇒ JM = 15 units

Therefore, The correct option is A. 15 units

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Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]
Vadim26 [7]

Answer:

B) 28.53 unit²

Step-by-step explanation:

The diagonal AD divides the quadrilateral in two triangles:

  1. Triangle ABD
  2. Triangle ACD

Area of Quadrilateral will be equal to the sum of Areas of both triangles.

i.e.

Area of ABCD = Area of ABD + Area of ACD

Area of Triangle ABD:

Area of a triangle is given as:

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Using these values, we get:

Area = \frac{1}{2} \times 2.89 \times 8.6 = 12.43

Thus, Area of Triangle ABD is 12.43 square units

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Using the values in formula of area, we get:

Area = \frac{1}{2} \times 4.3 \times 7.58 = 16.30

Thus, Area of Triangle ACD is 16.30 square units

Area of Quadrilateral ABCD:

The Area of the quadrilateral will be = 12.43 + 16.30 = 28.73 units²

None of the option gives the exact answer, however, option B gives the closest most answer. So I'll go with option B) 28.53 unit²

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