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3 years ago

Is line L parallel to line M? Explain.

Mathematics

2 answers:

Sunny_sXe [5.5K]3 years ago

8 0

Answer:

No; corresponding angles are not congruent

Step-by-step explanation:

we know that

$124\°$ and $118\°$ are corresponding angles

The lines l and m are not parallel

because

$124\°\neq 118\°$

alexgriva [62]3 years ago

4 0

The answer is no
proof
No; alternate interior angles are not congruent.

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3 years ago

Find the direct variation equation

joja [24]

Answers:

The direct variation equation is y = 5x
If x = 4, then y = 20

=================================================

Explanation:

Let's say that the letter k replaces the green box

We have the equation y = kx

Plug in (x,y) = (7,35) to get the equation 35 = k*7

Dividing both sides by 7 leads to k = 5

Therefore, the direct variation equation is y = 5x

We can check this by plugging in x = 7

y = 5x

y = 5*7

y = 35

So x = 7 leads to y = 35 as expected.

-------------

Do the same for x = 4

y = 5x

y = 5*4

y = 20 when x = 4

Side note: direct variation equations always go through the origin.

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3 years ago

What is the missing value in the proportion 4/5 = x/30?

ra1l [238]

Answer:

$\displaystyle x = 24$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{4}{5} = \frac{x}{30}$

Step 2: Solve for x

[Multiplication Property of Equality] Cross-multiply: $\displaystyle 5x = 120$
[Division Property of Equality] Divide 5 on both sides: $\displaystyle x = 24$

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3 years ago