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Aleks [24]
3 years ago
14

A number b minus 4.2 is less than −7.5

Mathematics
2 answers:
Kruka [31]3 years ago
5 0
B - 4.2 < -7.5
subtract b and 4.2 
less then sign is <
then <-7.5
lina2011 [118]3 years ago
5 0

Answer:

Given: A number b minus 4.2 is less than -7.5.

Here, b is the number.

"less than" symbol is represented by '<'

"minus" means subtract.

"b minus 4.2" translated to  b - 4.2

Then, our inequality becomes;

b - 4.2 < -7.5

To solve for b;

Add 4.2 both sides we get;

b -4.2 + 4.2 < -7.5 + 4.2

Simplify:

b < -3.3

Therefore, an inequality for the given word sentence is,  b - 4.2 < -7.5




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If m&lt;ECD is six less than five times m&lt;BCE. and m&lt;BCD = 162°, find each measure.(Sorry bout using the wrong signs, but
tia_tia [17]

Answer:

m∠BCE = 28° and m∠ECD = 134°

Step-by-step explanation:

* Lets explain how to solve the problem

- The figure has three angles: ∠BCE , ∠ECD , and ∠BCD

- m∠ECD is six less than five times m∠BCE

- That means when we multiply measure of angle BCE by five and

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∴ m∠ECD = 5 m∠BCE - 6 ⇒ (1)

∵ m∠BCD = m∠BCE + m∠ECD

∵ m∠BCD = 162°

∴ m∠BCE + m∠ECD = 162 ⇒ (2)

- Substitute equation (1) in equation (2) to replace angle ECD by

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∴ m∠BCE + (5 m∠BCE - 6) = 162

- Add the like terms

∴ 6 m∠BCE - 6 = 162

- Add 6 to both sides

∴ 6 m∠BCE = 168

- Divide both sides by 6

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- Substitute the measure of angle BCE in equation (1) to find the

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∵ m∠ECD = 5 m∠BCE - 6

∵ m∠BCE = 28°

∴ m∠ECD = 5(28) - 6 = 140 - 6 = 134°

* m∠BCE = 28° and m∠ECD = 134°

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