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2 years ago

What is the measure of AC?

Mathematics

1 answer:

STatiana [176]2 years ago

5 0

DE is 30, so AD is also 30

A full circle is 360

ACE = 360- Ad-de

Ace = 360-30-30 = 300

Ac is half of ace

Ac = 300/2 = 150

The answer is b 150

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3 years ago

What is the inverse of the function g(x)=-\dfrac{2}{3}x-5g(x)=− 3 2 x−5g, left parenthesis, x, right parenthesis, equals, minu

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Answer:

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Step-by-step explanation:

Given function,

$g(x) = -\frac{2}{3}x-5$

Step 1 : Replace g(x) by y:

$y = -\frac{2}{3}x-5$

Step 2 : Swap x and y:

$x = -\frac{2}{3}y-5$

Step 3 : Solve the equation for y ( isolate y in the left side ):

$x +\frac{2}{3}y=-5$

$\frac{2}{3}y=-5-x$

$y=\frac{3}{2}(-5-x)$

$y=-\frac{15}{2}-\frac{3}{2}x$

$y=-\frac{3}{2}x-\frac{15}{2}$

Step 4: Replace y by $g^{-1}(x)$ :

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Hence, the inverse of the function g(x) is $g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$ .

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