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3 years ago

5pn-8p=7n-7. Solve for n.

Mathematics

1 answer:

Firlakuza [10]3 years ago

8 0

Answer:

-8p + 7

n = --------------

8 - 5p

Step-by-step explanation:

Let's group the n terms in 5pn-8p=7n-7 .

Subtract 5pn from both sides. This results in -8p = 7n - 7 - 5pn

Now add 7 to both sides. This will group the n terms on the right side:

-8p + 7 = 7n - 5pn

Factor n out of 7n - 5pn:

-8p + 7 = n(7 - 5p)

Finally, divide both sides by (7 - 5n) to isolate n:

-8p + 7

n = --------------

8 - 5p

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4 years ago

ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangl

melamori03 [73]

Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.

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AB = CD = 18 cm; BC = AD = 8 cm

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∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).

Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem

$\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19$

$\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8$

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