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tigry1 [53]
3 years ago
7

Two times a number added to another number is 25. Three times the first number minus the second number is 20. What are both numb

ers?
Mathematics
1 answer:
lawyer [7]3 years ago
7 0

Answer:

the two number are 7 and 9

Step-by-step explanation:

2*x+y=25

3x-y = 20

add the two equations

2*x+y=25

3x-y = 20

---------------

5x = 45

divide by 5

5x/5 = 45/5

x = 9

lets find y

2x+y = 25

substitute x

2*9 +y =25

18+y =25

subtract 18 from both side

y = 25-18

y =7

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The division was computed incorrectly.

Step-by-step explanation:

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Required

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Let

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3 years ago
Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

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Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

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Then, you can use Pythagorean theorem:

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The solution is in inches: r = 5.6875 inches ← answer

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