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katen-ka-za [31]
4 years ago
15

The sum of two numbers is 54. The large number is 18 more than the sampler number. What are the numbers ?

Mathematics
1 answer:
Karolina [17]4 years ago
7 0

Answer: a=36; b=18


Step-by-step explanation:

1. You know that the sum of two numbers is 54, then, you have:

a+b=54

2. According to the problem, the larger number is 18 more than the sampler number, this can be expressed as following:

a=b+18

3. Then, you must substitute the second equation into the first equation and solve for b:

b+18+b=54

b=18

4. Then the value of a is:

a+18=55

a=36



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mafiozo [28]

Note: The missing diagram is attached below for a reference.

Answer:

  • Δ TUW ≅ ΔVWU by AAS case.

Step-by-step explanation:

Given:

  • ∠T and ∠V are right angles.
  • TW║ VU

To Prove:

  • Δ TUW ≅ ΔVWU

As

∠ T ≅ ∠ V ≅ 90^{0} (Given)

Side  UW ≅

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So,

∠ TWU ≅ ∠ WUV \left[alternate\:\:interior\:\:angles\right]

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Thus,

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Keywords: proof, paragraph, logic, reason

Learn more about proof and reason from brainly.com/question/13396866

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3 years ago
Stacy bakes 14.5 pies in 6 hours. How many pies would she bake in 9 hours? (explain how to solve and solve and the answer)
Olenka [21]

Answer:

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Step-by-step explanation:

First, we can find the speed that Stacy takes to bake pies per hour before solving for how many pies she can bake in 9 hours.

s=14.5pies/6hours

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=21.75 pies

∴ Stacy bakes 21.75 pies in 9 hours

Hope this helps :)

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Answer:

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Step-by-step explanation:

A straightforward way to find the resultant is to add the x- and y-components of the forces:

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  = (300√3/2 +180√2/2 -250√2/2, -300/2 +180√2/2 +250√2/2)

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The resultant is approximately 261 Newtons at an angle of 36°.

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From components (x, y), the angle is found as arctan(y/x). The magnitude is found as √(x²+y²).

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