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Alenkasestr [34]
2 years ago
14

The sum of a number $x$ and 4 equals 12.

Mathematics
1 answer:
djverab [1.8K]2 years ago
3 0

Answer:

The number is 8

Step-by-step explanation:

Lets say the number is x

1: Create equation

x+4=12

2: Subtract 4 from both sides

x+4-4=12-4

x+0=8

x=8

The number is 8

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Zx and Zy are supplementary angles. Zy measures 139º. What is the measure of Zx?
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Answer:

41

Step-by-step explanation:

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180-139=41

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2 years ago
Two parallel lines were cut by a transversal. Which of the following
meriva

Answer:

B. a pair of alternate exterior angles with measures of 130° and 50°

Step-by-step explanation:

Alternate exterior angles formed when two parallel lines are cut across by the same transversal line, are said to be congruent.

Therefore, a pair of alternate exterior angles cannot have different angle measures of 130° and 50°. Rather, both alternate exterior angles should be of equal measure of degree.

All other scenarios are possible result except option B: "a pair of alternate exterior angles with measures of 130° and 50°".

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Answer:

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Step-by-step explanation:

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How does one find the inverse function of f(x)= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3x-1%7D" id="TexFormula1" tit
lisabon 2012 [21]

Answer:

\displaystyle f^{-1}(x)=\frac{1+x}{3x}

Step-by-step explanation:

<u>The Inverse of a Function</u>

The procedure to find the inverse of the function is:

* Write the function as a two-variable equation:

\displaystyle y=\frac{1}{3x-1}

* Solve the equation for x.

Multiply by 3x-1

y(3x-1)=1

Divide by y:

\displaystyle 3x-1=\frac{1}{y}

Sum 1:

\displaystyle 3x=\frac{1}{y}+1

Operate the right side:

\displaystyle 3x=\frac{1+y}{y}

Divide by 3:

\displaystyle x=\frac{1+y}{3y}

* Swap the variables:

\displaystyle y=\frac{1+x}{3x}

Write back into function form:

\boxed{\displaystyle f^{-1}(x)=\frac{1+x}{3x}}

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