Answer:
r < -12 and r > -6
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
The blank spaces about the passage can be filled with the following correct vocabulary respectively.
- inequality
- strict inequality
- compound inequality
- solution sets
- true
<h3>Inequality</h3>
An <u>inequality</u> is a relation between two numbers and/or expressions that are related via <, >, ≥ or ≤ sign.
A <u>strict inequality</u> is an expression that uses < and >. It tells us that one side is only more or less than the other side.
When 2 simple inequalities are joined by or and, we get a <u>compound inequality</u>.
When solving an inequality, the solution will be a range of values called its <u>solution sets</u>. The inequality will remain <u>true</u> for every single value in this range.
The inequality signs are;
- Greater than >
- Less than <
- Greater than or equal to ≥
- Less than or equal to ≤
- Equal to =
Learn more about inequality:
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A straight line is 180°. So you can do:
(15x - 4) + (5x - 8) = 180 Simplify
20x - 12 = 180
20x = 192 Find the value of x
x = 9.6
m∠ABD = 15x - 4 Plug in x = 9.6
m∠ABD = 15(9.6) - 4 = 144 - 4 = 140°
m∠DBC = 5x - 8 Plug in 9.6
m∠DBC = 5(9.6) - 8 = 48 - 8 = 40°
