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klasskru [66]
4 years ago
7

URGENT HELP Solve for x.

Mathematics
1 answer:
jasenka [17]4 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

∠WVU is a tangent- tangent angle whose measure is

0.5( major arc WU - minor arc WU), that is

0.5(37x + 5 - (23x - 5) ) = 5x + 17 ← distribute inner parenthesis

0.5(37x + 5 - 23x + 5) = 5x + 17 ← simplify

0.5(14x + 10) = 5x + 17 ← distribute parenthesis

7x + 5 = 5x + 17 ( subtract 5x from both sides )

2x + 5 = 17 ( subtract 5 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

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The similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line include:

  • Both methods involve making a 90-degree angle between two lines.
  • The methods determine a point equidistant from two equidistant points on the line.

<h3>What are perpendicular lines?</h3>

Perpendicular lines are defined as two lines that meet or intersect each other at right angles.

In this case, both methods involve making a 90-degree angle between two lines and the methods determine a point equidistant from two equidistant points on the line.

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2 years ago
Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
il63 [147K]

Answer:

The minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

Step-by-step explanation:

Given function is f(x) = 0.15(x + 1)^2 - 3

We need to find the maximum value or the minimum value for the function.

Now, differentiate f(x) = 0.15(x + 1)^2 - 3  w.r.t x.

f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\

f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)

Now, we will equate f'(x)=0 to find critical point.

0.3(x+1)=0\\x=-1

Plug this critical point in to the function f(x) = 0.15(x + 1)^2 - 3  we get,

f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3

Also, f''(x)=0.3 which is positive, We have minimum value.

So, the minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

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Answer:

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Step-by-step explanation:

how to figure out tax amount: 25.30 x .08 = $2.024

add tax to cost of meal : 25.30 + 2.024 = $27.32

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