(10 points) Solve for x. Assume that the lines which appear to be tangent are tangent

Mathematics

1 answer:

Ganezh [65]3 years ago

8 0

The two tangent lines for each circle are the same length. Set the equations to equal and solve for x.

1. 4x + 3 = 3x +12

Subtract 3x from each side:

x +3 = 12

Subtract 3 from both sides:

x = 9

2. -2 + x = 2x -7

Subtract 2x from both sides:

-2 - x = -7

Add 2 to each side:

-x = -5

Multiply both sides by -1:

x = 5

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I also need help on this one smh

AysviL [449]

Answer:

C. 176.6 Square feet (I think)

Step-by-step explanation:

I tried many different ways and got three of the answers above but I think this is the right one.

The equation to find area of a circular cone base: $A= \pi r^2$

We are given the diameter (15 Feet) but we need to find the radius. So we use the diameter to radius formula: $r = \frac{d}{2}$
Plug in numbers: $r=\frac{15}{2}$ ≈ $7.5$
Use the Area formula now that you have radius: $A=\pi 7.5^2$
Solve and get = $a = 176.71458676$
Looking at the options the closest one to our answer (off by one-tenth) is C.

Sorry if you get this wrong. I tried lol.

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2 years ago

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So now that we have the definitions we can simplify by finding the values of each:

(9x8x7x6x5x4x3x2x1)-(4x3x2x1)(5x4x3x2x1)

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3 years ago

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Gwar [14]