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yKpoI14uk [10]
3 years ago
7

The number of 90° angles formed by the intersections of and the two parallel lines and is

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer:

is there supposed to be a picture that goes with this

Step-by-step explanation:

: 0

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Tiana's math test score are 85 and 91 . She has one more test left. In order to earn and A, her average test score must be at le
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85 + 91 + x ÷3 ≥94


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A figure is translated using the rule (x, y) - (x - 3, y + 6).
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Left 3 units and up 6 units

Step-by-step explanation:

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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
What is 2+2 thank yiu to everyone btwa
EleoNora [17]

Answer:

2+2=4

Step-by-step explanation:

2 plus 2 is 4

an example for you to understand

if you have 2 cookies and i give you 2 more then you now have 4 cookies to enjoy!

4 0
3 years ago
Please answer CORRECTLY if so I’ll mark you brainlist!
eduard

Answer:

The answer to your question is 26.75

Step-by-step explanation:

Top triangle = 3.5 x 9 = 31.5. Since it is a triangle, it has to be split in half (15.75).

Bottom left triangle = 2 x 2 = 4. Since this is also a triangle: 4 split in half is 2.

Bottom square = 2 x 2 = 4.

Bottom right triangle = 5 x 2 = 10. Since it is a triangle, 10 / 2 = 5.

After you get the area of each individual shape, add them together to get 26.75.

.

6 0
3 years ago
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