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mafiozo [28]
3 years ago
7

What is the measure of XYZ?

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0

<XYZ = 1/2(86 + 44)

<XYZ = 1/2 (130)

<XYZ = 65


Answer

B. 65

kirza4 [7]3 years ago
7 0

Answer:

Option B. 65°

Step-by-step explanation:

By the theorem of intersecting chords of a circle.

∠ XYZ = \frac{1}{2} [m(arc VM) + m(arc XZ)]

Now by putting values of arc VM and arc XZ,  we can get the measure of

∠ XYZ.

∠ XYZ = \frac{1}{2} [44 + 86]

           = \frac{1}{2} (130)

           = 65°

Therefore, The measure of XYZ = 65°, Option B.

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Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF
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

Exchange the variables

x for y and y for x

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

Let

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

therefore

the inverse function is

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

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