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3 years ago

When m and I are cut by transversal n. if m<3=67° , determine m<6.

Mathematics

1 answer:

marshall27 [118]3 years ago

3 0

Answer:

113°

Step-by-step explanation:

Angles 3 and 6 are consecutive interior angles

As per definition, consecutive internal angles add to 180°

m∠3 = 67° ⇒
m∠6 = 180° - 67° = 113°

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Solve 5x^2-2=-12 by taking the square root

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Answer:

x = ±i√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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Left to Right

Equality Properties

Multiplication Property of Equality

Division Property of Equality

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Imaginary root i

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Step-by-step explanation:

Step 1: Define

Identify

5x² - 2 = -12

Step 2: Solve for x

[Addition Property of Equality] Add 2 on both sides: 5x² = -10
[Division Property of Equality] Divide 5 on both sides: x² = -2
[Equality Property] Square root both sides: x = ±√-2
Rewrite: x = ±√-1 · √2
Simplify: x = ±i√2

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3 years ago

I can’t figure out the solution I think it is y < -10

Olenka [21]

Hey there!

With negatives ( $-$ ) you have to switch your symbol to the other way
$\bold{\frac{y}{-2}\leq5}$
Firstly, substitute the $\bold{y\ value }$ as an invisible 1
So, now we have to flip the equation around
$\bold{\frac{-1}{2}y\leq5}$
We have to $\bold{multiply}$ by $\bold{-2}$ on each of your sides
$\bold{-2\times\frac{-1}{2}\leq-2\times5}$
$\bold{Cancel \ out:2\times\frac{-1}{2}y \ because \ it \ equal \ 1}$
$\bold{Keep: -2\times5 \ because \ it \ helps \ us \ find \ our \ answer}$
$\bold{-2\times5=-10}$
$\boxed{\boxed{\bold{Answer:y\geq-10}}}\checkmark$

Good luck on your assignment and enjoy your day!

~ $\frak{LoveYourselfFirst:)}$

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When m and I are cut by transversal n. if m<3=67° , determine m<6.​

When m and I are cut by transversal n. if m<3=67° , determine m<6.