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3 years ago

IXL geometry help please!

Mathematics

1 answer:

7nadin3 [17]3 years ago

3 0

<h3>Answer: 104 degrees</h3>

================================

Work Shown:

Inscribed angle theorem

arc measure = 2*(inscribed angle)

arc BCD = 2*(angle A)

arc BCD = 2*(97)

arc BCD = 194 degrees

-------------

Break arc BCD into its smaller pieces

arc BCD = (minor arc BC) + (minor arc CD)

194 = (90) + (minor arc CD)

194-90 = minor arc CD

104 = minor arc CD

<h3>minor arc CD = 104 degrees</h3>

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3 years ago

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Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality $x\leq -7$ and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) $3x\leq -21$

$x\leq \frac{-21}{3}$

$x\leq -7$

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) $3x\geq -21$

$x\geq \frac{-21}{3}$

$x\geq -7$

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

Dividing inequality by a negative number swaps inequality sign.

$x\geq \frac{21}{-3}$

$x\geq -7$

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) $-3x\geq 21$

Dividing inequality by a negative number swaps inequality sign.

$x\leq \frac{21}{-3}$

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We can see that option D gives the same answer as our given inequality, therefore, option D is the correct choice.

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