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laila [671]
3 years ago
6

Find the value of x. A.124 B.57 C.72 D.90

Mathematics
1 answer:
Llana [10]3 years ago
3 0

9514 1404 393

Answer:

  x = 90°

Step-by-step explanation:

Half the sum of x and 120° is the angle where the chords cross, 105°. Then ...

  105° = (1/2)(x +120°)

  210° = x + 120°

  210° -120° = x = 90°

_____

<em>Additional comment</em>

z is the arc that finishes the circle: 360° -90° -68° -120° = 82°.

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Answer:

The first pair.

Step-by-step explanation:

3 corresponding parts must be congruent for two triangles to be congruent. The first pair has 3 congruence markings; two angles and one side are congruent. Additionally, they are congruent by the ASA postulate because two angles and the included side are congruent.

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Answer:

  • reflection in x = 1
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Step-by-step explanation:

The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.

The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.

The reflection on x=1 and translation up 2 can be done in either order.

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<em>Additional comment</em>

A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.

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4 0
4 years ago
What is the fourth term of the arithmetic sequence described by the explicit formula an = 2 + (n - 1)25?
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Answer:

52

Step-by-step explanation:

plug in 3 if we're going by 0,1,2,3

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3 years ago
Round to the underlined place​
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Step-by-step explanation:

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