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Hitman42 [59]
3 years ago
6

12.5 + w< 14 solving one step inequalities

Mathematics
1 answer:
horrorfan [7]3 years ago
8 0

Answer:

w < 1.5

Step-by-step explanation:

We solve these almost identical to solving equations. By going backwards in the process.

14 - 12.5 = 1.5

w < 1.5

Hope this helps!

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I hope this helps you



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3 years ago
If CE bisects ZBCD and if m ZBCE = 3x - 6
horrorfan [7]

Answer:

m∠BCD = 90°

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Step-by-step explanation:

<em>If a ray bisects an angle, that means it divides the angle into two equal parts in measure</em>

∵ Ray CE bisects ∠BCD

→ Means divide it into two angles BCE and ECD which equal in measures

∴ m∠BCE = m∠ECD = \frac{1}{2} m∠BCD

∵ m∠BCE = 3x - 6

∵ m∠ECD = 2x + 11

→ Equate them to find x

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→ Add 6 to both sides

∵ 3x - 6 + 6 = 2x + 11 + 6

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→ Subtract 2x from both sides

∵ 3x - 2x = 2x - 2x + 17

∴ x = 17

∵ m∠BCE =  \frac{1}{2} m∠BCD

→ Substitute x in the measure of ∠BCE to find it, then use it to

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→ Multiply both sides by 2

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→ The measure of the acute angle is less than 90°, the measure of

   the obtuse angle is greater than 90°, and the measure of the

   right angle is 90°

∴ ∠BCD is a right angle

6 0
3 years ago
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