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QveST [7]
3 years ago
11

A shelf is built on a wall, as shown below. What is the value of x?

Mathematics
1 answer:
sp2606 [1]3 years ago
8 0

Answer:

Step-by-step explanation:

Given:

A shelf is built on a wall. The angles of the triangle are given as (x + 3)°, (2x - 18)° and 90°

We need to determine the value of x.

Value of x:

By triangle sum property, the angles in a triangle always add up to 180°

Thus, we have;

Simplifying, we get;

Subtracting both sides by 75, we get;

Dividing both sides of the equation by 3, we get;

Thus, the value of x is 35.

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Contact [7]

Find the equation of the inverse.

y =  {2}^{x + 5}  - 6

we have

y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6

step 1

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x=\{2\}^{\{y+5\}}-6

step 2

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apply log both sides

\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\  \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}

step 3

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f^{(-1)}(x)=y

therefore

the inverse function is

f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5

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