Divide 540 in ratio 2:1

Mathematics

1 answer:

natka813 [3]3 years ago

6 0

Answer:

180:360

Step-by-step explanation:

so its basically saying make it 1/3 and 2/3 so start with dividing it by 3 to get 180 thats your first answer for 1/3 to get 2/3 simply double that and you have 360 so the answer is 180:360

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Given right triangle A w/a hypotenuse length of 3y + x and a leg of y-x, and right triangle B, w/ a hypotense length of y+5 and

SpyIntel [72]

Triangle A

hypotenuse: 3y + x
leg: y - x

Triangle B

hypotenuse: y + 5
leg: x + 5

Congruency => 3y + x = y + 5 and y - x = x + 5

Solve the system

3y + x = y + 5 -> 2y + x = 5
y - x = x + 5 -> y - 2x = 5

2y + x = 5
-2y + 4x = -10

5x = -5
x = -1
y = (5 -(-1)) / 2 = 6/2 = 3

Verify:

hypotenuses
3y + x = 9 - 1 = 8
y + 5 = 3 + 5 = 8

Legs:

y - x = 3 -(-1) = 3 + 1 = 4
x + 5 = -1 + 5 = 4.

Then both hypotenuses and both legs are congruent.

Answer: x = -1 and y = 3

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Anuta_ua [19.1K]

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Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population

eimsori [14]

Answer:

Yes, The analysis involves a statistical test.

The hypothesis are $H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L$

Step-by-step explanation:

Consider the provided information.

Testing 500 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, The above analysis involves a statistical test.

Where claim is right hand reacts faster than the left hand.

If right hand reacts faster that means the reaction time of right hand should be smaller than the reaction time of left hand.

Let $\mu_R$ to be the average reaction time of their right hands for the right-handed participants and $\mu_L$ to be the average reaction time of their left hands.