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Debora [2.8K]
3 years ago
11

Rehana has some money after she spend Rs15 she has Three quarter of the initial amount left the amount left is

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
6 0

Answer:

Amount left = Rs 45

Step-by-step explanation:

Let the initial amount be x.

Translating the word problem into an algebraic expression, we have;

x - 15 = \frac {3}{4} * x

x - 15 = \frac {3x}{4}

Cross-multiplying, we have;

4(x - 15) = 3x

4x - 60 = 3x

Rearranging the equation (collecting like terms), we have;

4x - 3x = 60

x = Rs 60

Next, we find the amount left;

Amount left = 60 - 15

Amount left = Rs 45

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Answer:

The measure of the angle JKG is:

m∠JKG = 56°

Step-by-step explanation:

<u>Given</u>

m∠JKG = 76-2x

m∠FHK = 6x-4

J is a midpoint of the segment FG and K is a midpoint of the segment GH.

<u>To determine</u>

m∠JKG = ?

Given that J is a midpoint of the segment FG and K is a midpoint of the segment GH. Thus, making two similar triangles, ΔJGK and ΔFGH

We know that two triangles are similar if the only difference is size. So, the angles remain the same.

so m∠JKG and m∠FHK are equal.

i.e.

m∠JKG = m∠FHK

substitute m∠JKG = 76-2x and m∠FHK = 6x-4

76-2x = 6x-4

6x+2x = 76 + 4

8x = 80

divide both sides by 8

8x/8 = 80/8

x = 10

Therefore, the value of x = 10

As

m∠JKG = 76-2x

substitute x = 10

m∠JKG = 76 - 2(10)

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Therefore, measure of the angle JKG is:

m∠JKG = 56°

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Step-by-step explanation:

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