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sergeinik [125]
1 year ago
11

Which lines must be parallel?

Mathematics
1 answer:
Oduvanchick [21]1 year ago
5 0

The lines that must be parallel are lines r and s. The correct option is A) r and s

<h3>Parallel lines </h3>

From the question, we are to determine the lines that must be parallel to satisfy the given condition

The given condition is

∠5 ≅∠13

In the given diagram,

∠5 and ∠13 are corresponding angles

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.

In the diagram,

The transversal is line p which intersects lines r and s.

Therefore,

Lines r and s must be parallel lines

Hence, the lines that must be parallel are lines r and s. The correct option is A) r and s

Learn more on Parallel lines here: brainly.com/question/24213000

#SPJ1

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Prove identity trigonometric equation
irina [24]

Explanation:

The given equation is False, so cannot be proven to be true.

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Perhaps you want to prove ...

  2\tan{x}=\dfrac{\cos{x}}{\csc{(x)}-1}+\dfrac{\cos{x}}{\csc{(x)}+1}

This is one way to show it:

  2\tan{x}=\cos{(x)}\dfrac{(\csc{(x)}+1)+(\csc{(x)}-1)}{(\csc{(x)}-1)(\csc{(x)}+1)}\\\\=\cos{(x)}\dfrac{2\csc{(x)}}{\csc{(x)}^2-1}=2\cos{(x)}\dfrac{\csc{x}}{\cot{(x)}^2}=2\dfrac{\cos{(x)}\sin{(x)}^2}{\cos{(x)}^2\sin{(x)}}\\\\=2\dfrac{\sin{x}}{\cos{x}}\\\\2\tan{x}=2\tan{x}\qquad\text{QED}

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We have used the identities ...

  csc = 1/sin

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4 0
3 years ago
XZ = 15 and the perimeter of XWZ is 50. What is the length of WZ?
Rom4ik [11]

Answer:

  17.5

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  perimeter = XZ +WZ +WX

The figure shows us WX = WZ, so we can rewrite the formula as ...

  perimeter = XZ +2·WZ

Filling in the given values, this becomes ...

  50 = 15 + 2·WZ

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The length of WZ is 17.5 units.

6 0
3 years ago
-10 + x + 4-5 &gt; 7x - 5
coldgirl [10]

Answer:

x < -1

Step-by-step explanation:

Step 1: Write out inequality

-10 + x + 4 - 5 > 7x - 5

Step 2: Solve

x - 6 - 5 > 7x - 5

x - 11 > 7x - 5

-11 > 6x - 5

-6 > 6x

-1 > x

Step 3: Rewrite

x < -1

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3 years ago
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B. 9 I think because it looks like it is bisected in the middle to cut into two equal parts. Please correct me if I am wrong. Thanks. 
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3 years ago
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PLEASE HELP!!!!!!
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A: High School P, because it has the lowest <span>σ
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