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natita [175]
3 years ago
15

What is the missing length?

Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

<u>Solution:</u>

Statement: This is a right angled triangle.

So, We have

  • Area of Right angled triangle = 14mm²

• Side of triangle = 4 mm

<u>Let another side be p as Question! </u>

Area of Right angled Triangle = ½ × b×p

Area of Right angled Triangle = ½ × b×p Area of Right angled Triangle =½ × 4 × p

14 = 2 × P

14 = 2 × P = 14/2P = 7

<h2>Therefore, Value of p is 7 mm .</h2>
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So you are finding M
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4x=60
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3 years ago
Given parallelogram MNOP, MA = x + 5, AO = y + 2, PA = 3x and AN = 2y
erma4kov [3.2K]

Answer:

The values of x and y are x = 6 and y = 9

Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

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  • Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

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∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9

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