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Rom4ik [11]
3 years ago
7

Help!!! WITH Solve each inequality and graph the solution on the number line. ​

Mathematics
1 answer:
Alchen [17]3 years ago
7 0

w - 7 > - 4        To solve the inequality, you need to get the variable (w) by itself, to do so, you add 7 on both sides of the inequality

w - 7 + 7 > -4 + 7

w > 3     [w is a number greater than 3]

(If you are using an open circle and closed circle, otherwise you can skip)

When the sign is < or >, you have an open circle "o"

When the sign is ≤ or ≥ (less/greater than or equal to), you have a closed circle

Make an open circle on the number 3, then make an arrow pointing to the right because w is greater than 3.

If you don't have to do the open/closed circle, just make a dot on the number 3 and make an arrow pointing/going to the right

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4) (Assume AR is tangent)<br>Given: AR 12<br>SR - 7.7<br>Find: cs (Round to nearest tenth.)​
andreev551 [17]

The length of CS is 11.0

Explanation:

Given that the length of the tangent AR is 12

The length of SR is 7.7

To find: The length of CS

The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."

Applying the tangent secant theorem, we have,

AR^2=SR\times RC

Rewriting the above equation, we get,

AR^2=SR(SR+SC)

Substituting the values, we get,

12^2=7.7(7.7+CS)

Simplifying, we have,

144=59.29+7.7CS

Subtracting both sides by 59.29, we get,

84.71=7.7CS

Dividing both sides by 7.7, we have,

11.0013=CS

Rounding off to the nearest tenth, we get,

11.0=CS

Thus, the length of CS is 11.0

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