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3 years ago

Find the values of x and y

Mathematics

2 answers:

rewona [7]3 years ago

8 0

X = 90 degrees as it is at a right angle.

To find Y, I believe you would have 180 - 90 = 90 and then 90 - 47 = 43
y = 43

lesantik [10]3 years ago

3 0

X = 90 degrees
angle B = 47 degrees
add them together = 137
subtract from 180 = 43
y = 43 degrees

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AveGali [126]

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Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

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And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

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⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

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Hence, the total distance from home to New York = x miles = 360 miles

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$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

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evablogger [386]

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