3 years ago

Is 7n+6 equal to 13n?

Mathematics

1 answer:

mars1129 [50]3 years ago

6 0

Answer:

Step-by-step explanation:

Say n was equal to 2

7(2) + 6 =20

13(2) = 26

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Find MO and PR ............................................................

ddd [48]

MO = 12 and PR = 3

Solution:

Given $\triangle M N O \sim \Delta P Q R$ .

Perimeter of ΔMNO = 48

Perimeter of ΔPQR = 12

MO = 12x and PR = x + 2

If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of perimeter of the triangles.

$$\Rightarrow \frac{\text{Perimeter of }\triangle MNO}{\text{Perimeter of }\triangle PQR} =\frac{MO}{PR}$

$$\Rightarrow \frac{48}{12} =\frac{12x}{x+2}$

Do cross multiplication.

$$\Rightarrow 48({x+2})= 12(12x)$

$$\Rightarrow 48x+96= 144x$

Subtract 48x from both sides.

$$\Rightarrow 48x+96-48x= 144x-48x$

$$\Rightarrow 96= 96x$

Divide by 96 on both sides, we get

⇒ 1 = x

⇒ x = 1

Substitute x = 1 in MO an PR.

MO = 12(1) = 12

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Therefore MO = 12 and PR = 3.

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