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2 years ago

Trishia is 4 years older than Caila now. The sum of their ages in 8 years from now will be 38. How old are Caila and Trisha now?

Mathematics

1 answer:

Nostrana [21]2 years ago

4 0

Answer: 13 and 9

Step-by-step explanation:

because since there are two people 38-(8x2)=22

The only numbers that add up to 22 that have a difference of 4 are 13 and 9

Another way:

T=C+4

T+8+C+8=38

C+4+C+8=

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Answer:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

Step-by-step explanation:

Incomplete question:

$\angle CBD = 53^\circ$

$\angle CAB = 35^\circ$

$AB = 75$

See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

$\angle ABC + \angle CBD = 180$ --- angle on a straight line

$\angle ABC + 53= 180$

Collect like terms

$\angle ABC =- 53+ 180$

$\angle ABC =127^\circ$

$\angle ABC + \angle ACB + \angle CAB = 180$ --- angles in a triangle

$\angle ACB + 127 + 35 = 180$

Collect like terms

$\angle ACB =- 127 - 35 + 180$

$\angle ACB =18$

Apply sine rule

$\frac{\sin A}{a} = \frac{\sin B}{b}$

In this case:

$\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}$

This gives:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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