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ikadub [295]
2 years ago
9

A linear model for the situation below passes through the origin. Find the missing value. Round to the nearest ten if necessary.

Mathematics
2 answers:
chubhunter [2.5K]2 years ago
8 0

7 = 9.45 --------- x = 17.55

x = 7(17.55)/9.45 
x= 13


BARSIC [14]2 years ago
4 0
17.55 to buy 13 apples
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What expression is not equal to 1/4 of 52?
dmitriy555 [2]
1/4 of 52 = 13.
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3 0
3 years ago
Question included in the image - geometry problem.
iren [92.7K]

Answer:

y = 116°

Step-by-step explanation:

Given that <em>L₁ </em>|| <em>L</em>₂:

The <u>exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the two opposite and non-adjacent remote interior angles.  

Also, ∠y° and ∠2x° are <u>same-side interior angles</u> formed by the intersection of the <em>hypotenuse</em> of the triangle that acts as a transversal to the parallel lines, <em>L₁ </em>and <em>L</em>₂.  Given that ∠y° and ∠2x° are <u>same-side interior angles</u>, then it means that they are the supplements of each other, such that the sum of their measures is 180°.  

Now that we have established these definitions, we can proceed with the solution.

<u>Equation 1</u>:  ∠y° + ∠2x° = 180° ⇒ Same-side interior angles

<u>Equation 2</u>:  ∠y° =  ∠x° + ∠84°  ⇒ exterior angle theorem

Substitute the value of m∠y° from Equation 2 into Equation 1 to solve for the value of x:

∠y° + ∠2x° = 180°

∠x° +  ∠84° + 2x° = 180°

Combine like terms:

∠3x° + ∠84° = 180°

Subtract ∠84° from both sides:

∠3x° + ∠84° - ∠84° = 180° -∠84°

∠3x° = 180° - ∠84°

∠3x° = 96°

Divide both sides by 3 to solve for x:

\frac{3x}{3} = \frac{96}{3}

∠x° = 32°

Substitute the value of x into Equation 2 to solve for y:

∠y° =  ∠x° + ∠84°

∠y° =  ∠32° + ∠84°

∠y° =  116°

Verify whether the values for x and y are correct by substituting their values into Equation 1 and 2:

<h3>Equation 1:</h3>

∠y° + ∠2x° = 180°

116° + 2(32)° = 180°

116° + 64° = 180°

180° = 180° (True statement).

<h3>Equation 2:</h3>

∠y° =  ∠x° + ∠84°

116° = 32° + 84°

116°  = 116°  (True statement)

Therefore, the correct answer is: y = 116°.

5 0
2 years ago
Identify the statement that represents the given algebraic expression.
ollegr [7]

Answer:

n is -32

Step-by-step explanation:

- 17 \times 2 \: equals \:  - 32 \\  - 32 \div 2 \: equals \:  - 17

8 0
3 years ago
Julissa's dance class ended at 6:15 pm. It lasted 1 hour and 25 minutes.<br> What time did it start?
Vlad1618 [11]

Answer:

4:50

Step-by-step explanation:

3 0
2 years ago
What’s the result ????????????????
Mrrafil [7]

Answer:

Option 1

Step-by-step explanation:

You must multiply (2x + 3) by (x + 4). I use the FOIL method.

(2x + 3)(x + 4)

Multiply

2x² + 8x +3x + 12

Simplify

2x² + 11x + 12

To check the answer, you could factor this trinomial back into a pair of binomials.

4 0
2 years ago
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