Solve the inequalities x2 < 3 - 2x
1 answer:
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Answer:
7/22
Step-by-step explanation:
Step 1: <u>Define/explain.</u>
To subtract fractions with different denominators, you must first find the least common denominator (LCM).
You can do this by listing the multiples of each denominator.
Step 2: <u>Solve.</u>
11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
22 is the LCM.
Now, we change the fractions to where they both have denominators of 22.
**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**
Now, subtract as normal.
Step 3: <u>Conclude.</u>
Therefore, 9/11 - 1/2 = 7/22.
The measures of the angles of Δ DEF are 36° , 72° , 72°
Step-by-step explanation:
The sum of the measures of the interior angles in any triangle is 180°
In Δ DEF
The ratio between the measures of its interior angles is 2 : 4 : 4
To find the measure of each angle
1. Find the sum of the ratio between the measures of its angles
2. Divide 180° by the sum of the ratio
3. Multiply the quotient by each ratio
∵ The ratio between the measures of the angles of Δ DEF = 2 : 4 : 4
∴ The sum of the ratio = 2 + 4 + 4 = 10
→ m∠D : m∠E : m∠F : sum of the ratio
→ 2 : 4 : 4 : 10
→ ? : ? : ? : 180°
Divide 180 by 10, then multiply the quotient by the components of
the ratio to find the measure of each angle
∵ m∠D =
∴ m∠D = 36°
∵ m∠E =
∴ m∠D = 72°
∵ m∠F =
∴ m∠F = 72°
The measures of the angles of Δ DEF are 36° , 72° , 72°
Learn more:
You can learn more about the ratio in brainly.com/question/2707032
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